CAMERON HYDRAULIC DATA A handy reference on the subject of hydraulics, and steam
Edited by
C. R. Westaway and
A. W. L...
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CAMERON HYDRAULIC DATA A handy reference on the subject of hydraulics, and steam
Edited by
C. R. Westaway and
A. W. Loomis
Sixteenth Edition Third Printing
Price $10.00
&INGERSOLLRANR Woodcliff Lake, N.J. 07675
Pump Manufacturing Plants Phillipsburg, N.J., U.S.A. Allentown, Pa., U.S.A. Gateshead, Co. Durham, England Sherbrooke, Que., Canada KitchnerICambridge, Ontario, Canada Naucalpan de Juarez, Mexico Alberton, Transvaal, So. Africa Coslada, Madrid, Spain
Preface to the Sixteenth Edition (2nd Printing) The Cameron Hydraulic Data Book is an Ingersoll-Rand publication and, as in the previous fifteen editions, is published as an aid to engineers involved with the selection and application of pumping equipment. The information in the sixteenth edition, has been updated and brought in line with current practice, primarily the data dealing with the flow of liquids through pipes, valves and fittings. Other information which has been expanded on in considerable detail includes: "Weight-Volume Relationships for Cellulose FiberWater Suspensions" and the section on conversion factor (metric) data. Also, minor rearrangements of certain material has been made for more convenient reference; in addition, some additional data on density, specific gravity, specific weight, vapor pressure and viscosity of various liquids that may be of help and interest has been included.
Copyright 1926, 1930, 1934, 1939, 1942, 1951, 1958, 1961, 1965, 1970, 1977, 1979, 1981, 1984 b y Ingersoll-Rand Company All rights reserved PRINTED IN U.S.A.
To facilitate locating the desired data, a detailed index has been provided in the rear of this book (Section IX). It should be noted that for convenient reference this index is arranged in two (2) parts; first a General Index with items listed alphabetically, page 9-2 through page 9-10, and secondly, an Index of Liquids arranged alphabetically, page 9-11 through page 9-14. Frequent reference to this index is suggested for quickly locating the information desired.
Form 931
11
iii
INGERSOLLRAND CAMERON Contents Hydraulic principles
..........................
Selected formulas and equivalents ..............
Friction data. ................................ Water Paper stock Viscous liquids Fittings WARNING The misuse or misapplication of data in this book could result in machinery or system failures, severe damage to other property and/or serious injury to persons. Ingersoll-Rand Company does not assume any liability for any losses or damages resulting from the use or application of the materials and data set forth in this book.
Liquids-miscellaneous data .................. Density-specific gravity-vapor pressure Viscosity etc Steam data
..................................
Electrical data
...............................
Miscellaneous data. ........................... Data for cast iron & steel pipe-Arithmetrical formulas Metric (SI) Conversions-General
data..
.......
Index-Two Sections: . . . . . . . . . . . . . . . . . . . . . . . . Section No. 1-General Index (A to Z) Section No. 2-Index of Liquids (A to Z)
SECTION I
HYDRAULICS
CAMERON HYDRAULIC DATA CONTENTS OF SECTION 1 Hydraulics Page Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1-3 Liquids . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1-3 Liquid Flow . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1-4 Viscosity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1-5 Pumping . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1-6 Volume- System Head Calculations- Suction Head . . . . . . 1-6, 1-7 Suction Lift -Total Discharge Head -Velocity Head . . . . . . 1-7, 1-8 Total Sys. Head -Pump Head-- Pressure- Spec. Gravity . . . 1-9, 1-10 Net Positive Suction Head . . . . . . . . . . . . . . . . . . . . . . . . . . . 1-11 NPSH -Suction Head-Lift ; Examples: . . . . . . . . . . . . 1-11,to 1-16 NPSH -Hydro-Carbon Corrections . . . . . . . . . . . . . . . . . . . . 1-16 NPSH -Reciprocating Pumps . . . . . . . . . . . . . . . . . . . . . . . . 1-17 Acceleration Head - Reciprocating Pumps . . . . . . . . . . . . . . . 1-18 Entrance Losses -Specific Speed . . . . . . . . . . . . . . . . . . . . . . 1-19 Specific Speed - Impeller . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1-19 Specific Speed -Suction . . . . . . . . . . . . . . . . . . . . . . . . . . 1-20, 1-21 Submergence . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1-21, 1-22 Intake Design-Vertical Wet Pit Pumps . . . . . . . . . . . . . 1-22 to 1-27 Work Performed in Pumping . . . . . . . . . . . . . . . . . . . . . . . . . . 1-27 Temperature Rise . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1-28 Characteristic Curves . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1-29 Affinity Laws -Stepping Curves . . . . . . . . . . . . . . . . . . . . . . . 1-30 System Curves . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1-31 Parallel and Series Operation . . . . . . . . . . . . . . . . . . . . . . 1-32, 1-33 Water Hammer . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . , . . 1-34 Reciprocating Pumps -Performance . . . . . . . . . . . . . . . . . . . . 1-35 Recip . Pumps-Pulsation Analysis & System Piping . . . 1-36 to 11-45 Pump Drivers- Speed Torque Curves . . . . . . . . . . . . . . . . 1-45, 1-46 Engine Drivers - Impeller Profiles . . . . . . . . . . . . . . . . . . . . . 1-47 Hydraulic Institute Charts . . . . . . . . . . . . . . . . . . . . . . 1-48to 1-52 Bibliography . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1-53
HYDRAULICS Introduction The following outline is offered for those who have a basic understanding and knowledge of hydraulic and fluid dynamic principles, but who would like a convenient reference to various items that must be taken into consideration in the commercial selection and application of pumping equipment. If more detailed information is desired, or to investigate the subject in greater depth, reference is suggested to the many Textbooks, Technical Papers, Engineering Handbooks, Standards and Manuals that are available, some of which are listed in the Bibliography a t the conclusion of this section. (Page 1-53)
Liquids Hydraulics is concerned with the behavior of liquids a t rest and in motion. A liquid has a definite volume a s contrasted to a gas which will expand or contract depending on changes in temperature and pressure. Liquids are said to be "practically" incompressible. This is true for most considerations a t low pressures but a t higher pressures and as temperatures vary, there will be changes in density which must be taken into account. The pressure existing a t any point in a liquid a t rest is caused by the atmospheric pressure exerted on the surface, plus the weight of liquid above the point in question. Such pressure is equal in all directions and acts perpendicularly to any surfaces in contact with the liquid. All liquid pressures can be visualized as being caused by a column of liquid which due to its weight would produce a pressure equivalent to the pressure at the point in question. Such a column of liquid, real or imaginary, is called the "pressure head," or the "static head" and is usually expressed in feet of liquid.
The flow of liquids may be caused by gravity or by mechanical means using one of the many types of pumps that may be available depending on the characteristics of the liquid and the nature of the service conditions.
I
INGERSOLLRAND
CAMERON HYDRAULIC DATA
Fig. No. 1
Volute C a s ~ n g
Reference is made to Figure 1 illustrating diagrammatically a simple centrifugal pump; here it will be observed that in its simplest form a centrifugal pump consists of an impeller rotating within a casing. Liquid directed into the center of the rotating impeller is picked up by the impeller vanes and accelerated to a high velocity by the rotation of the impeller and discharged by centrifugal force into the casing and out the discharge. When the liquid in the impeller is forced away from the center of the impeller a reduced pressure is produced and consequently more liquid flows forward. Therefore a steady flow through the impeller is produced unless something happens to break the vacuum a t the inlet or disrupt the flow to the center of the impeller or unless the flow a t the discharge is restricted by a pressure greater than the pressure head developed by the rotating impeller. Reciprocating Positive Displacement Pumps, on the other hand, do not generate head. Instead, these pumps convert rotating motion and torque into linear motion and force, generating variable flow a t the discharge connection. Head is generated by the system's resistance to flow. Hence, this pump will draw upon available power and energy until it overcomes all flow resistances downstream. If excessive flow restrictions exist, the pump can be over pressurized and the driver may stall or the weakest link in the system can fail. Therefore, it is imperative that a safety relief valve is installed a s close to the pump as possible.
Liquid flow During passage through a pipe the flow of a liquid is said to be laminar (viscous) or turbulent depending on the liquid velocity, pipe size and liquid viscosity. For any given liquid and pipe size these
HYDRAULICS factors can be expressed in terms of a dimensionless number called the Reynolds number R where:
V = Average velocity -f t/sec D = Average internal diameter -ft v = Kinematic viscosity of the fluid-ft2/sec (For pure fresh water a t 60°F v = 0.000 012 16 ft2/sec) For values of R less than approximately 2000 the flow is laminar (viscous); i.e., particles of the liquid follow separate non-intersecting paths with little or no eddying or turbulence. When R is above 4000 turbulent flow is considered to exist. Values of R between 2000 and 4000 are in the critical zone where the flow is generally considered to be turbulent for the purpose of friction loss or pressure drop calculations; this gives safe results because the friction loss is higher for turbulent flow than for laminar (viscous) flow.
Viscosity In flowing liquids the existence of internal friction or the internal resistance to relative motion of the fluid'particles with respect to each other must be considered; this resistance is called viscosity. The viscosities of most liquids vary appreciably with changes in temperature whereas the influence of pressure change is usually negligible. The viscosities of certain liquids can change depending on the extent to which the liquid may be agitated.
A liquid is said to be a "Newtonian" or "true" fluid if its viscosity is unaffected by the kind and magnitude of motion or agitation to which it may be subjected a s long as the temperature remains constant; an example of a "Newtonian" liquid would be water or mineral oil. A liquid is said to be "thixotropic" if its viscosity decreases as agitation is increased a t constant temperature; examples of "thixotropic" liquids would be asphalts, cellulose compounds, glues, greases, molasses, paints and soaps.
t
A liquid is said to be "dilatant" if the viscosity increases as agitation is increased at constant temperature; examples of "dilatant" liquids are clay slurries and candy compounds. Pumping
To move a liquid against gravity or to force it into a pressure vessel, or to provide enough head, or pressure head, to overcome pipe friction and other resistance, work must be expended. The type of pump to be considered for any application is normally a financial decision. Technically, centrifugal and reciprocating pumps can both perform nearly any service function. But large flow applications require such a large reciprocating pump that it is cost prohibitive. Normally such applications are better handled by centrifugal pumps. As a general rule, reciprocating pumps are best suited for low flows and high pressures.
No matter what type of pump is used, nor what service is required of a pump, all forms of energy imparted to the liquid both on the suction and discharge sides in performing this service must be accounted for in establishing the duty to be performed. In centrifugal pump applications in order that all these forms of energy may be algebraically added it is customary to express them all in terms of head expressed in feet of liquid. In reciprocating, rotary, or positive displacement types of pumps it is customary to express the heads in terms of pressure (psi). The various items that must be taken into account in establishing the total head (based on feet of liquid) including design capacity (volume)are discussed below. Volume
In this discussion the standard unit of volume will be the U.S. gallon. The rate of flow shall be expressed in gallons per minute (gpm1. The specific weight of water a t a temperature of 65OF shall be taken as 62.34 lbs per cubic foot. For other temperatures proper specific weight corrections should be made in calculating the rate of flow particularly if the required delivery is given in pounds per hour; for example : lb per hour gpm = '500 X specific gravity
HYDRAULICS System head calculations The total head (H)-formerly called "total dynamic headv-for a specific system is equal to the total discharge head (h,) minus the total suction head (h,) or plus the total suction lift.
It is recommended that total head calculations for the suction side be listed separately from those for the discharge side to help avoid the possibility of overlooking a troublesome suction condition. In this discussion the terms suction head and suction life (or the equivalent of a lift) are discussed separately to help visualize the suction condition that may exist.
Suction head AL k .LA Suction head (h,) exists when the liquid supply level is above the pump centerline or impeller eye. The total suction head is equal to the static height or static submergence in feet that the liquid supply level is above the pump centerline less all suction line losses including entrance loss plus any pressure ( a vacuum as in a condenser hotwell being a negative pressure) existing a t the suction supply source. Caution-even when the liquid supply level is above the pump centerline the equivalent of a lift will exist if the total suction line losses (and vacuum effect) exceed the positive static suction head: This condition can cause problems particularly when handling volatile or viscous liquids. On a'n existing installation total suction head would be the reading of a gage a t the suction flange converted to feet of liquid and corrected to the pump centerline elevation plus the velocity head in feet of liquid at point of gage attachment.
Suction lift Suction lift (h,) exists when the liquid supply level or suction source is below the pump centerline or impeller eye. Total suction lift 5\: :-
* Note: One gallon of water weighs 8.333 pounds a t 65OF; therefore 60 X 8.333 equals 500. For practical applications the * * specific gravity of water is considered to be equal t o 1.00 a t normal temperatures (60°F t o 70°F); for some purposes it is taken a s 1.00 a t 39.Z°F ( 4 O C ) which is its point of maximum density; for most applications which base is selected makes little difference. See pages 2-3 and 4-3. * * Basis specific gravity of 1.00, one psi equals 2.31 f t of water a t normal temperatures.
HYDRAULICS System head calculations The total head (H)-formerly called "total dynamic headv-for a specific system is equal to the total discharge head (h,) minus the total suction head (h,) or plus the total suction lift.
It is recommended that total head calculations for the suction side be listed separately from those for the discharge side to help avoid the possibility of overlooking a troublesome suction condition. In this discussion the terms suction head and suction life (or the equivalent of a lift) are discussed separately to help visualize the suction condition that may exist.
Suction head AL k .LA Suction head (h,) exists when the liquid supply level is above the pump centerline or impeller eye. The total suction head is equal to the static height or static submergence in feet that the liquid supply level is above the pump centerline less all suction line losses including entrance loss plus any pressure ( a vacuum as in a condenser hotwell being a negative pressure) existing a t the suction supply source. Caution-even when the liquid supply level is above the pump centerline the equivalent of a lift will exist if the total suction line losses (and vacuum effect) exceed the positive static suction head: This condition can cause problems particularly when handling volatile or viscous liquids. On a'n existing installation total suction head would be the reading of a gage a t the suction flange converted to feet of liquid and corrected to the pump centerline elevation plus the velocity head in feet of liquid at point of gage attachment.
Suction lift Suction lift (h,) exists when the liquid supply level or suction source is below the pump centerline or impeller eye. Total suction lift 5\: :-
* Note: One gallon of water weighs 8.333 pounds a t 65OF; therefore 60 X 8.333 equals 500. For practical applications the * * specific gravity of water is considered to be equal t o 1.00 a t normal temperatures (60°F t o 70°F); for some purposes it is taken a s 1.00 a t 39.Z°F ( 4 O C ) which is its point of maximum density; for most applications which base is selected makes little difference. See pages 2-3 and 4-3. * * Basis specific gravity of 1.00, one psi equals 2.31 f t of water a t normal temperatures.
INGERSOLL-RAND CAMERON HYDRAULIC DATA is equal to the static lift in feet plus all friction losses in the suction line including entrance loss. When the liquid supply level or suction source is above the pump centerline or impeller eye and under a vacuum, as in a condenser hotwell, the equivalent of a suction lift will exist which will be equal to the vacuum effect in feet less the net submergence. On an existing installation the total suction lift is the reading of a mercury column or vacuum gage a t the suction flange converted to feet of liquid and corrected to the pump centerline elevation minus the velocity head in feet of liquid a t point of gage attachment.
Total discharge head (h,)-is the sum of: (1)Static discharge head. ( 2 )All piping and friction losses on discharge side including straight runs of pipe, losses at all valves, fittings, strainers, control valves, etc. ( 3 ) Pressure in discharge chamber (if a closed vessel). ( 4 ) Losses a t sudden enlargements (as in a condenser water box). ( 5 )Exit loss at liquid discharge (usually assumed to be equal to one velocity head at discharge velocity) ( 6 ) Plus any loss factors that experience .indicates may be desirable.
On an existing installation total discharge head would be the reading of a pressure gage a t the discharge flange converted to feet of liquid and corrected to the pump centerline plus the velocity head (in feet of liquid) at the point of gage attachment.
Velocity head (hv)-in a pumping system is an energy component that represents the kinetic or "velocity" energy in a moving liquid at the point being considered in the system. It is equivalent to the vertical distance the mass of liquid would have to fall (in a perfect vacuum) to acquire the velocity V and is expressed as:
where: h, V d g gpm bph
= velocity head in feet of liquid = velocity of liquid -ft/sec = inside diameter of pipe in inches = gravitational constant -32.174 ft/sec2 = gallons (U.S.)per minute = barrels (42 gallons -U.S. ) per hour
HYDRAULICS -
-
The velocity head energy component is used in system head calculations as a basis for establishing entrance losses, losses in valves and fittings, losses at other sudden enlargements and exit losses by applying the appropriate resistance coefficient K to the VV2g term (see page 3-110). In system head calculations for high head pumps the velocity head will be but a small percentage of the total head and is not significant. However, in low head pumps it can be a substantial percentage and must be considered. When total heads on an existing installation are being determined from gage readings then the velocity head values as calculated must be included; i.e. the total suction lift will be the reading of a vacuum gage or mercury column a t the suction flange, corrected to the pump centerline elevation minus the velocity head a t point of gage attachment. The total suction head and total discharge head will be the readings of gages at the flanges corrected to the pump centerline elevation plus the velocity heads a t the points of gage attachments. Total system head (H)-formerly total dynamic head-is the total discharge head (h,) minus the total suction head (h,) if positive or plus if a suction lift: H = h, - h, (head) or H = h, h, (lift).(Note: For typical suction head calculation, see examples 1, 2, 3, 4 and 5 under NPSH pages 1-13to 1-15. For total head calculation see example on pages 3-9 and 3-10.
+
Pump head -Pressure -Specific gravity
In a centrifugal pump the head developed (in feet)is dependent on the velocity of the liquid as it enters the impeller eye and as it leaves the impeller periphery and therefore is independent of the specific gravity of the liquid. The pressure head developed (in psi) will be directly proportional to the specific gravity. Head and Pressure are interchangeable terms provided that they are expressed in their correct units. In English Units to convert from one to the other use:
Liquid Head in feet = psi x 2.31 SP gr Liquid Head in feet = psi x 144 W
INGERSOLLflAND
CAMERON HYDRAULIC DATA
Pressure in psi = Head in feet x sp gr 2.31 Pressure in psi = Head in feet x W 144 Where W=*Specific weight in pounds per cubic foot of liquid being pumped under pumping conditions; For Water W = 62.32 lb per cu ft a t 68 degrees F (20°C).
A column of water 2.31 ft high will exert a pressure of one ( I )psi based on water a t approximately 65 F. * Figures 2 and 3 are included to help visualize the head-pressure relationships of centrifugal pumps when handling liquids of varying specific gravities. Fig. 2 illustrates three identical pumps, each pump designed to develop 115.5 f t . of head ; when pumping water with a specific gravity of 1.0 ( a t 6B°F) the pressure head will be 50 psi ( 115.5 f t divided by 2.31); when pumping liquids of other gravities, the head (in feet)will be the same, but the pressure head (psi) will be proportional to the specific gravities as shown; to avoid errors, it is advisable to check one's calculations by using the above formulas.
Fig. 2. Pressure-head ing specific gravities.
relationship of identical pumps handling liquids of differ-
*For other water temperatures see tables on pages 4-4 and 4-5.
HYDRAULKS
Fig. 3 Pressure-head relationship of pumps delivering same pressure handling liquids of differing specific gravity.
Figure 3 illustrates three pumps, each designed to develop the same pressure head (in psi); consequently the head (in feet of liquid) will be inversely proportional to the specific gravity as shown. In these illustrations friction losses, etc., have been disregarded.
Net Positive Suction Head The Net Positive Suction Head (NPSH)is the total suction head in feet of liquid (absolute a t the pump centerline or impeller eye) less the absolute vapor pressure (in feet) of the liquid being pumped. I t must always have a positive value and can be calculated by the following equations: To help in visualizing the conditions that exist, two ( 2 ) expressions will be used; the first expression is basis a suction lift-liquid supply level is below the pump centerline or impeller eye; the second expression is basis a positive suction, (flooded),where the liquid supply level is above the pump centerline or impeller eye. For Suction Lift:
NPSH = ha - h,,, - h,, - hf, For Positive (Flooded)Suction:
NPSH = ha - h,,,
+ h,,
- hf,
I
where: ha = absolute pressure (in feet of liquid) on the surface of the liquid supply level (this will be barometric pressure if suction is from an open tank or sump; or the absolute pressure existing in a closed tank such as a condenser hotwell or deareator ). h,,, = The head in feet corresponding to the vapor pressure of the liquid a t the temperature being pumped. hSt= Static height in feet that the liquid supply level is above or below the pump centerline or impeller eye. h,, = All suction line losses (in feet)including entrance losses and friction losses through pipe, valves and fittings, etc. Two values of net positive suction head must be considered; i.e. Net Positive Suction Head Required (NPSHR) and Net Positive Suction Head Available (NPSHA). The NPSHR is determined by the pump manufacturer and will depend on many factors including type of impeller inlet, impeller design, pump flow, rotational speed, nature of liquid, etc. NPSHR is usually plotted on the characteristic pump performance curve supplied by the pump manufacturer. The Net Positive Suction Head Available (NPSHA)depends on the system layout and must always be equal to or greater than the NPSHR. The vapor pressure of the liquid a t the pumping temperature must always be known to calculate the NPSHA. On an existing installation the NPSH available would be the reading of a gage a t the suction flange converted to feet of liquid absolute and corrected to the pump centerline elevation less the vapor pressure of the liquid in feet absolute plus the velocity head in feet of liquid at point of gage attachment. The following examples show the importance and influence of vapor pressure. In all cases, for simplicity, the same capacity will be used; also the following suction line losses will be assumed in all cases: Friction loss through suction pipe and fittings *Entranceloss (assumeequal to one half velocity head) Total losses ' N o t e : For more exact entrance losses, refer t o pages 3-116 thru 3-118.
2.51 f t 0.41 2.92 f t
HYDRAULICS
IOf
Fig. 4. (Example No 1 )
Example No 1 ( Fig 4 ) Open system, source below pump; 68OF water a t sea level. Atmospheric pressures 14.696 psia, 33.96 f t abs. Vapor pressure of liquid 0.339 psia = 0.783 f t abs.
NPSHA = 33.96 - 0.783 - 10.00 - 2.92 = 20.26 ft Suction Lift = 10.00 + 2.92 = 12.92 ft-this charge head to obtain total head.
is to be added to dis-
Note: No pump can actually lift water on the suction side. In this case, water is forced in by an excess of atmospheric pressure over the vapor pressure less 12.92 f t net static lift. Example No 2 (Fig 5 ) Open system, source above pump; 68OF water at sea level.
NPSHA = 33.96 - 0.783 + 10.00 - 2.92 = 40.26 f t .
Atmospheric Pressure
+-
- - ---- -- -
68OF Water
Fig. 5 (Example 2)
~-~EFT'
-- .-- -
loft.
INGERSOLL-RAND CAMERON HYDRAULIC DATA Suction Head- 10.00 - 2.92 = 7.08 ft-this is to be subtracted from discharge head to obtain total head.
Atmospheric Pressure
2 1 2 0 F --:-.---Water 5 : 10 ft.
Fig. 6 (Example 3)
Example No. 3 (Fig. 6 ) Open system, source above pump; 212OF water a t sea level; vapor pressure same as atmospheric since liquid a t boiling point.
+
NPSHA = 33.96 - 33.96 10.00 - 2.92 = 7.08 f t . In this case, atmospheric pressure does not add to NPSHA since it is required to keep the water in liquid phase. Suction Head = 10.00 - 2.92 = 7.08 ft-this is to be subtracted from discharge head to obtain total head. Note: In this example it was assumed that pipe friction losses for 21z°F water were the same as for 68OF water whereas actually they would be somewhat less, as will also be the case in Example 4.
7
'"
Water
.,,I
Fig. 7 (Example 4)
HYDRAULICS -
Example No 4 (Fig 7 )
Closed system (under pressure as a feed water deareator) source above pump. 350°F water V.P. = 134.60 psia = 348.76 ft abs (at 350°F sp gr = NPSHA = 348.76 - 348.76 + 10.00 - 2.92 = 7.08 ft. Suction Head- (Figure basis gage pressures; i.e., 119.91psig = 310.69 f t ) = 310.69 + 10.00 - 2.92 = 317.77 ft-This is to be subtracted from the discharge head to obtain total system head. I t is important to note that while the suction head is 317.77 f t (122.64 psig) the NPSHA is still only 7.08 ft.
Example No 5 (Fig 8)-Closed system (under vacuum as a condenser hotwell) liquid source above pump. Absolute pressure (ha)= 1.50" Hg X 1.139 = 1.71 ft. Water a t saturation point 91.7Z°F; therefore vapor pressure (h,,) = 1.50" Hg X 1.139 = 1.71 ft. NPSHA = 1.71 - 1.71
+ 10.00 - 2.92 = 7.08ft.
Suction Condition-In this example the suction condition (head or lift) for the pump can best be visualized by the calculations listed below where it can be seen that we have a suction lift equal to the vacuum effect a t the suction source less the net static submergence.
I
CONDENSER
I
Abs = 1-50" Hg Vacuum = 28-42" Hg
[--'It Condensate
d
Fin. 8 (Example 5 )
INGERSOLL-AAND CAMERON HYDRAULIC DATA 28.42"Hg Vacuum = 28.42 x 1.139 = Static submergence Friction and entrance loss Net static submergence = Equivalent suction lift = vacuum effect less net submergence
32.37 f t 10.00 f t 2.92 ft 7.08 ft
7.08 f t 25.29 ft
In this example it is noted that the NPSHA is equal to the static suction head less the friction and entrance losses. Also the equivalent suction lift must be added to the total discharge head to obtain the total system head.
In the foregoing examples standard sea level atmospheric conditions were assumed; for other locations where altitude is a factor proper corrections must be made. These examples (3, 4 and 5) illustrate that if the liquid is in equilibrium (vapor pressure corresponds to saturation temperature) then the NPSH is equal to the difference in elevation between the liquid supply level and the pump centerline elevation (or impeller eye) less the sum of the entrance loss and the friction losses in the suction line. NPSH reductions- hydrocarbon liquids and hot water The NPSH requirements of centrifugal pumps are normally determined on the basis of handling water a t or near normal room temperatures. However, field experience and laboratory tests have confirmed that pumps handling certain gas free hydrocarbon fluids and water a t elevated temperatures will operate satisfactorily with harmless cavitation and less NPSH available than would be required for cold water. The figure on page 1-52 shows NPSH reductions that may be considered for hot water &d certain gas free pure hydrocarbon liquids. The use and application of this chart is subject to certain limitations some of which are summarized below: 1. The NPSH reductions shown are based on laboratory test data
a t steady state suction conditions and on the gas free pure hydrocarbon liquids shown; its application to other liquids must be considered experimental and is not recommended. 2. No NPSH reduction should exceed 50% of the NPSH required for cold water or ten feet whichever is smaller.
HYDRAULICS 3. In the absence of test data demonstrating NPSH reductions
greater than ten feet the chart has been limited to that extent and extrapolation beyond that point is not recommended. 4. Vapor pressure for the liquid should be determined by the bubble point method-do not use the Reid vapor pressure. 5. Do not use the chart for liquids having entrained air or other non-condensible gases which may be released as the absolute pressure is lowered at the entrance to the impeller, in which case additional NPSH may be required for satisfactory operation. 6. In the use of the chart for high temperature liquids, particularly with water, due consideration must be given to the susceptibility of the suction system to transient changes in temperature and absolute pressure which might require additional NPSH to provide a margin of safety, far exceeding the reduction otherwise permitted for steady state operation. Subject to the above limitations, which should be reviewed with the Manufacturer, the procedure in using the chart is as follows: Assume a pump requires 16 feet NPSH on cold water at the design capacity is to handle pure propane at 55 Deg F which has a vapor pressure of approximately 100 psia; the chart shows a reduction of 9.5 feet which is greater than one half the cold water NPSHR. The corrected value of the NPSHR is one half the cold water NPSHR or 8 feet. Assume this same pump has another application to handle propane a t 14 Deg F where its vapor pressure is 50 psia. In this case the chart shows a reduction of 6 feet which is less than one half of the cold water NPSH. The corrected value of NPSH is therefore 16 feet less 6 feet or 10 feet. Note in reading the chart follow the sloping lines from left to right. For a more detailed discussion on the use of this chart and its limitations reference is suggested to the Hydraulic Institute Standards.
NPSH -Reciprocating pumps The foregoing discussion on NPSH and accompanying calculations was primarily for the benefit of centrifugal pump selections and applications. NPSH available for a reciprocating pump application is calculated in the same manner as for a centrifugal pump, except in the NPSH required for a reciprocating pump some additional allowance must be made for the reciprocating action of the pump; this additional re-
INGERSOLL-RAND CAMERON HYDRAULIC DATA -
-
-
quirement is termed "acceleration head." This is the head required to accelerate the liquid column on each suction stroke so that there will be no separation of this column in the pump or suction line. If this minimum condition is not met the pump will experience a fluid knock caused when the liquid column, which has a vapor space between it and the plunger, overtakes the receding plunger. This knock occurs approximately two-thirds of the way through the suction stroke. If sufficient acceleration is provided for the liquid to completely follow the motion of the receding face of the plunger, this knock will disappear. If there is insufficient head to meet minimum acceleration requirements of NPSH, the pump will experience cavitation resulting in loss of volumetric efficiency; also, serious damage can occur to the plungers, pistons, valves and packing due to the forces released in collapsing the gas or vapor bubbles. Acceleration head -reciprocating pumps
For indepth information on NPSH and Acceleration Head, see the section entitled "Pulsation Analysis and System Piping."
Fig. 9
HYDRAULICS Entrance losses
Special mention is made of entrance loss considerations because failure to appreciate and provide for this problem is one of the major causes of faulty pump performance, particularly when handling liquids that are in equilibrium such as light hydrocarbons from a vacuum tower or condensate from a condenser hotwell. Reference to Figure 9 illustrates that when taking suction from the bottom of a tower, or a side outlet from a condenser hotwell, sufficient static height ( h ) must be provided to account for the entrance loss and velocity head a t point "A" plus any additional submergence that may be required to prevent vortices from entering the suction line. The submergence required to control vortices may be reduced by using suitable baffles or other anti-swirl devices. Specific speed
In the intelligent consideration of centrifugal pumps it is helpful to have an understanding of specific speed to determine if the pump design being proposed is within certain established limits for the service conditions under which it will operate. In Specific Speed terminology there are two considerations: ( 1) First-Impeller specific speed and ( 2 ) Secondly-suction specific speed ; Impeller specific speed will be discussed first. Impeller specific speed (N,)
This is an index of hydraulic design; it is defined as the speed at which an impeller, geometrically similar to the one under consideration, would run if it were reduced in size to deliver one gpm a t one foot head. Mathematically it is expressed as:
where: rpm = Pump speed. gpm = Design capacity a t best efficiency point. H = Total head per stage in feet a t best efficiency point.
INGERSOLL-RAND
CAMERON HYDRAULIC DATA
Impeller specific speed is an index as to the type of impeller when the factors in the above formula correspond to its performance a t optimum (or best) efficiency point. I t is a useful tool for the Hydraulic Designer in the designing of impellers to meet varying conditions of head, capacity (and shape of curve), suction conditions and speed. Impellers for high heads and low net positive suction head required usually have low specific speeds, whereas, impellers for low heads and high NPSHR usually have high specific speeds. Depending on the type of impeller specific speeds can range between 400 to 20,000 for commercial designs. According to specific speed values impellers and pumps can be classified roughly as follows: Below 4200-Centrifugal or Radial type; Between 4200 and 9000-Mixed Flow; Above 900-Axial Flow. The charts and illustrations included herewith-pages 1-47 to 1-48 show typical impeller types for various specific speed ranges; also the variations in head-capacity performance characteristics for various specific speed are illustrated. Specific speed is also a very valuable criterion in determining the permissible safe maximum suction lift or the minimum net positive suction head required for various conditions of capacity, head and speed. The Hydraulic Institute has established suggested specific speed limitations with respect to suction conditions for various types of pumps. These suggested limitations are expressed graphically on charts ,(pages1-49 to 1-52) reproduced herein with permission of the Hydraulic Institute. For a more detailed discussion of these charts and their application reference should be made to the Hydraulic Institute Standards. Suction specific speed ( S )
Suction specific speed (S)like Impeller specific speed (N,) is a parameter, or index of hydraulic design except here it is essentially an index descriptive of the suction capabilities and characteristics of a given first stage impeller. I t is expressed as:
S = rpm Vgpm (NPSHR)3/4
CAMERON HYDRAULIC DATA submergence is a term used to relate liquid level to the setting of a vertical immersed wet pit type pump with a free air surface a t the liquid supply level.
In the case of a conventional horizontal pump operating with a suction lift, or a large dry pit type pump, with a flooded suction, some submergence or liquid level, in addition to the NPSHR, may be necessary to prevent vortex formation on the liquid supply surface and thus preclude or retard the possibility of air being drawn in the pump suction intake. The amount of submergence will depend to some extent on the design of the suction intake; i.e. a bell or cone shaped entrance should require less than a straight pipe intake. Intake design In addition to providing sufficient submergence for vertical wet pit immersed pumps it is imperative that the sump and intake structure be of proper proportions-and that pump arrangements be such as to preclude uneven velocity distributions in the approach to the pump or around the suction bell. Uneven velocity distributions particularly when accompanied by insufficient submergence can result in the formation of vortices which will introduce air in the pump suction causing a reduction in capacity, unbalance and rough operation resulting in rapid deterioration of equipment and costly outages. Also, underwater vortices can form, causing uneven flow into the impeller resulting in rough operation. Providing additional submergence will not compensate for an improperly designed intake and therefore careful consideration must be given to pump arrangement and location of intake and sump dimensions. WARNING Intake design, pump arrangements, location and setting are, among other things, the complete responsibility of the user, and improper use of the following data could result in severe damage to property and/or injury to person. Accordingly, Ingersoll-Rand Company does not assume any liability for any losses or damages to property or injury to persons that may result from the utilization of the following suggested design data. Such design data do not cover all technical considerations for proper operation. They have been developed as a result of extensive model testing and field experience over many years, and are offered herein a s a general guide for preliminary layout work.
HYDRAULICS Vertical wet pit pumps
Referring to Figure 10 and using the pump suction bell diameter* ( D )as a reference: 1. Back wall distance to centerline of pump is 0.75D.
2. Side wall distance to centerline of pump is 1.00D. 3. Bottom clearance (approximate) is 0.30D. 4. Location of the intake screen can vary depending on the particular design, but usually should be in the range of 3D to 4D minimum from inside face of screen to centerline of pump. 5. Intake tunnel velocity should be less than 2 to 3 ft/sec. 6. No restrictions or sharp turns should occur less than 6D or 3 times the channel width in front of the pump, whichever is greater. 7. Provide water depth (submergence)over the pump suction bell in accordance with the "Capacity vs. Submergence" chart -Fig. No. 14. *Check Manufacturer for dimensions.
Tra
Fig. 10 Standard Vertical Wet Pit Pump
Fig. 11 Turning Vane Assembly
Multiple pump arrangements
The preferred arrangement is to have the pump suction bells located in individual pump bays by means of separator walls or parti-
tions so one pump will not interfere hydraulically with the operation of another. However, if this is not practical, as may be the case with small pumps, a number of units can be installed in a single large sump provided that: 1. They are located in a line running perpendicular to the ap-
2. 3.
4. 5.
6.
proaching flow. Minimum spacing of 2D is provided between pump centerlines. Back wall clearance, bottom clearance and submergence same as for single pumps. All pumps are running. The up-stream conditions should provide uniform flow to the suction bells (avoid turns). Each pump capacity is less than 15,000 gpm.
When individual pump bays are provided use dimensions for a single pump in accordance with Fig. 10, page 1-23. nrning vane intake assemblies
Structural costs can sometimes be reduced by employing a turning vane assembly below the suction bell entrance to achieve a suitable flow pattern as illustrated in Fig. 11. This arrangement normally requires a deeper sump but the width ( W ) may be reduced to 1.50D or less resulting in reduced screen and construction costs. The following guidelines are offered with a turning vane assembly: 1. Dimensions A and A' should be equal.
2. Pump bell should be as close as possible to the level of the support beam bottom. 3. Dimension B should be as short as clearance permits. 4. Dimension W should be equal to the bell diameter plus the necessary clearance to allow for variations in structural and casting dimensions. 5. In order to prevent excessive velocity a t pump entrance, the suction bell should be 1D or greater above the sump bottom depending on pump size. 6. The turning vanes should slightly accelerate the flow to the pump (i.e. the inlet area of each passage should be greater than the corresponding exit ). 7. Intake tunnel velocity should be limited to 1to 2 ft/sec maximum. 8. Submergence "S" should be per submergence vs capacity chart Fig. 14, page 1-26.
HYDRAULICS Side intake -dry pit pumps
The following guidelines are offered for typical dry pit type pump arrangements as illustrated in Fig. 12 for a horizontal pump and Fig. 13 for a vertical centrifugal or scroll case type of pump. In these illustrations dimension "D" is the diameter, or effective diameter, of the suction intake fitting. 1. Submergence "S" should be approximately one foot for each foot per second a t "D." Velocity a t "D" should be less than 6 ft/sec. 2. Radius "R" should be as large as possible within structure
limitations. 3. Submergence can be reduced to half the values indicated in (1) with either a roof or vertical baffle. A vertical baffle should have ample depth to be effective and centrally located. At location D alternate shapes can be used to further reduce depth; i.e. rectangular or elliptical areas. Effective "D" then becomes the average diameter of the two axes. Always check NPSHR.
6D
SEPARATOR WALL FOR MULTIPLE PUMP INSTALLATIONS
-1
Fig. 12
SEPARATOR WALL
Fig. 13
1-25
INGERSOLL43AND
CAMERON HYDRAULIC DATA
4. Suction bays should be symmetrical with no turn in the approach. With two or more pumps, separator walls extending for a length of 6D and a height "S" should be provided between the intakes of each pump. 5. Minimum water level must always be above the impeller eye. When the level is below the top of the volute priming is preferable. 6. Stop logs in the bay are preferred to a suction valve. If a butterfly valve is used, stem should be horizontal for horizontal double suction pumps and fully open when running. 7. Intake screens should be placed a minimum of 6D from the pump inlet ( D = diameter of suction intake fitting).
The above suggestions for alternative pump arrangements are offered as general guidelines and should not be considered as optimum. Analysis and design of intake structures and arrangement of pumps should only be made on the basis of experience together with model and field testing. If new or questionable arrangements are being proposed, model tests should be conducted. In most cases it is desirable to have the Manufacturer's comments before finalizing a design.
CAPACITY
( X 1000)
GPM
Fig. 14 Capacity Vs Submergence over suction bell for Vertical Wet Pit Pumps.
HYDRAULICS Work performed in pumping -horsepower
The work performed in pumping or moving a liquid depends on the weight of the liquid being handled in a given time against the total head (in feet of liquid) or differential pressure (in psi) being developed. Since one horsepower equals 33000 f t lb per minute the useful or theoretical horsepower (usually called the hydraulic horsepower -hyd hp ) will equal : Hyd hp = lb of liquid per minute X H (in feet) 33,000 The actual or brake horsepower (bhp) of a pump will be greater than the hyd hp by the amount of losses incurred within the pump through friction, leakage, etc. The pump efficiency will therefore be equal to: Pump efficiency = hyd hp bhp hyd hp Brake hp = pump efficiency Since the above expressions apply to both centrifugal and reciprocating types of pumps, horsepower calculations can be simplified if the weight of liquid being handled (capacity)is expressed in terms of gpm and/or bph-and the differential pressure ( H) in terms of head in feet of liquid for centrifugal pumps, and psi (pounds per sq in. ) for receiprocating pumps as follows :
(in feet) sp gr (common centrifugal terms) Brake hp = gpm 3960 x efficiency - bph
(in feet)xsp gr (common centrifugal terms ) 5657 x efficiency
-
gpm x psi (common reciprocating terms) 1714 x eff
-
bph psi (common reciprocating terms) 2450 x eff
Note: t o obtain the hyd hp from the above expressions use a pump efficiency of 100%.
INGERSOLLRAND CAMERON HYDRAULIC DATA In the above expressions: gpm = U S gallons per minute delivered (one gallon = 8.33 lb a t 68 Deg F. ) bph = barrels (42 gallons) per hour -delivered H = total head in feet of liquid-differential psi =lbs per sq in -differential Electrical hp input to motor =
Pump bhp motor efficiency
KW input to motor = pump bhp X 0.7457 mot or efficiency If a variable speed device is used between pump and driver then overall efficiency will equal Pump eff X Motor eff X eff of variable speed drive. From the above formulas it should be noted that it is important to correct the (gpm) and ( H ) for the temperature being pumped; it should also be noted that more power is required to pump a given weight of liquid hot against a given pressure than will be required to pump the same weight of liquid cold. When handling some liquids and for water a t very high pressures, the compressibility of the liquid may need to be considered as its density may change within the pump. Temperature rise -Minimum Flow :
Except for a small amount of power lost in the pump bearings and stuffing boxes the difference between the brake horsepower and hydraulic horsepower developed represents the power losses within the pump itself, most of which are transferred to the liquid passing through the pump causing a temperature rise in the liquid. It is sometimes desirable to have a curve showing temperature rise versus pump capacity -which can be calculated from this formula: The allowable minimum flow through a Centrifugal Pump may depend to some extent on the allowable temperature rise permitted. Since items other than thermal (such as hydraulic radial thrust) may have to be considered, the manufacturer should be consulted on the safe minimum flow permitted. where TR = Temperature rise in Deg F H = Total head in feet E = Efficiency expressed as a decimal
HYDRAULICS Characteristic curves
Since the head (in feet of liquid) developed by a centrifugal pump is independent of the specific gravity, water at normal temperatures with a specific gravity of 1.000 is the liquid almost universally used in establishing centrifugal pump performance characteristics. If the head for a specific application is determined in feet, then the desired head and capacity can be read without correction as long as the viscosity of the liquid is similar to that of water. The horsepower curve, which is basis specific gravity of 1.0, can be used for liquids of other gravity (if viscosity is similar to water) by multiplying the horsepower for water by the specific gravity of the liquid being handled. The hydraulic characteristics of centrifugal pumps usually permit considerable latitude in the range of operating conditions. Ideally, the design point and operating point should be maintained close to the best efficiency point ( B E P ) ;however, substantial variations in flow either to the right (increasing)or to the left (decreasing) of the BEP are usually permissible. However, operating back on the curve a t reduced flow, or at excessive run out may result in radial thrust, or cavitation causing damage and therefore the manufacturer should be consulted when such conditions may exist. Since a centrifugal pump is a machine which imparts velocity and converts velocity to pressure, the flow and head developed may be changed by varying the pump speed or changing the impeller diameter. These modifications will change the tip speed or velocity of the impeller vanes and therefore the velocity a t which the liquid leaves the impeller. Note that changing impeller diameters may result in a loss in efficiency as the diameter is reduced. For reasonable speed variations the efficiency should not change appreciably. For pumps in the centrifugal range of specific speeds (radial flow impellers) the relationships between capacity, head and horsepower with changes in impeller diameter and speed are approximately as follows : For small variations in impeller diameter (constant speed)
BHP,
Dl3
INGERSOLLRAND CAMERON HYDRAULIC DATA For variations in speed: (constant impeller diameter)
BHP, = S13 BHP,
S,3
where
D= Impeller diameters in inches H=Heads in feet QzCapacities in gpm S =Speeds in rpm BHP = Brake horsepowers Note: Subscript 1 is for original design conditions.
The above relationships are known as the Affinity Laws and are offered in this text with the understanding their application will be limited to centrifugal (radical flow) type pumps only. When other types such as axial, mixed flow or propeller type are involved consult the manufacturer for instructions. These laws can be summarized as follows: With variable speeds the capacity varies directly and the head varies as the square of the speed; efficiencies will not change for reasonable variations in speed. The break horsepower (BHP) varies as the cube of the speeds. With variable impeller diameters the capacity varies directly and the head varies as the square of the impeller diameter-efficiency will be reduced as the diameter is reduced-check manufacturer for limitations. The brake horsepower (BHP)varies as the cube of impeller diameters. Note: These relations hold only for small changes in impeller diameter. Stepping curves-Using the above relationships the head-capacity (HI-Q,) curves can be stepped up or down within reasonable limits making the necessary efficiency corrections for changes in impeller diameter. Solving for S, and D, to meet a specified H,-Q, is a cut and try operation if exact values are desired; in all cases the manufacturer should be consulted before making final modifications to the original design conditions.
I
HYDRAULICS System curves
A centrifugal pump always operates a t the intersection of its headcapacity curve and the system curve which shows the head required to make the liquid flow through the system of piping, valves, etc. The head in a typical system is made up of three components: 1.Static head 2. Pressure head 3. All losses; i.e. friction, entrance and exit losses
To illustrate, take a typical system shown in Fig. 15 where the total static head is 70 ft, the pressure head is 60 f t (2.31 X 26) and the friction head through all pipe, valves, fittings, entrance and exit losses in 18.9 f t a t the design flow of 1500 gpm, total system head a t design flow is 70 + 60 + 18.9 = 148.9 ft. In drawing the system curve (see Fig. 16, page 1-32) the static head will not change with flow so it is represented by the line AB, the pressure head will not change with flow so it is added to the static head and shown by the horizontal line'^^. The friction head through a piping system, however, varies approximately as the square of the flow so the friction a t 500 gpm will be X 18.9 = 2.1 f t (Point E); likewise the friction a t 1000 gpm will be 8.4 f t (Point F),
-
PRESSURE HEAD
26 PSlG
THROTTLE VALVE
J
H f =FRICTION HEAD
u
Fig. 15
INGERSOLL-RAND
CAMERON HYDRAULIC DATA
HYDRAULICS
---
Water hammer
In fluid flow, water hammer can cause rupture and serious damage t o the entire piping system unless essential precautions are taken; in the case of condenser circulating water systems it can cause rupture and serious damage t o the tube sheets and water boxes. I t is the result of a rapid increase in pressure which occurs in a closed piping system when the liquid velocity is suddenly changed by sudden starting, stopping or change in speed of a pump; or sudden opening or closing of a valve which may change the liquid velocity in the system.
Elements of Graphical Solution of Water Hammer Problems in Centrifugal Pump Systems-A. J. Stepanoff 'Ikansactions of A.S.M.E. 71:515 (1949) Water Hammer Analysis- J. Parmakian Prentice Hall Publication, New York (1955) Reciprocating Pumps -Performance
The pressure on a reciprocating pump is determined by the maximum allowable plunger load and the area of the plunger: M
This increase, or dynamic change in pressure, is the result of the kinetic energy of the moving mass of liquid being transformed into pressure energy, resulting in an excessive pressure rise which can cause damage on either the suction or discharge side of the pump. Water hammer may be controlled by regulating valve closure time, surge chambers, relief valves or other means. Water hammer calculations are quite involved, and it is recommended that specialized engineering services be employed in cases where i t may be a problem. For information on this subject the following further references are suggested: Symposium on Water Hammer American Society of Mechanical Engineers 1933 (Reprinted 1949) Symposium on Water Hammer-Tkansactions A.S.M.E. 59:651(1937)
~psig ~ =. Max. Plunger Load Plunger area
The flow rate is determined by the area of the plunger, stroke length, the number of plungers, the pump speed, and Volumetric Efficiency: GPM = Plunger Area x Stroke Length x Number of Plungers x RPM x Volumetric Efficiency For a given pump size with stroke length, number of plungers, maximum RPM and maximum plunger load are constant; the maximum BHP is fixed. If the suction pressure is less than 10% of discharge pressure, the horsepower required is equal to the hydraulic horsepower divided by mechanical efficiency (M.E. ), as shown previously in the section titled Work Performed in Pumping Horsepower.
Water Hammer Control- S. L. Kerr Journal of American Water Works Assoc. 43:985 (December 1951)
When dealing with high suction pressure conditions (greater than 10% of discharge pressure), non-reversal of power end loading exists. Therefore, special pump selections are necessary. Generally the plunger rating is decreased reducing available rod load. In addition, the required input horsepower becomes the sum of the hydraulic and frictional horsepowers or:
Practical Aspects of Water Hammer-S. L. Kerr Journal of American Water Works Assoc. 40:599 (June 1948)
BHP = H.P.
+ F.H.P.
HYD H P = ( GPM ) ( Disch. Press.-Suction Press. ) 1714
INGERSOLLffAND
HYDRAULICS
CAMERON HYDRAULIC DATA FIGURE 1
FLOW VARIATION
F.H.P. =
(
, G P M ) . Press.) (
-
1
)
(I+
E:k",:IS
>1
DUPLEX DOUBLE ACTING VARIATION ABOVE MEAN - 24 1% VARIATION BELOW MEAN 21.50/b TOTALVARIATION-456%W
-
NOTE:
I I
Pump mechanical efficiency decreases with a decrease in rod load. Consult manufacturer for values.
Reciprocating Pumps Pulsation Analysis and System Piping hciprocating pumps produce flow variations which are converted into fluid pressure pulsations by the piping system. Dependent upon the design of the piping system this conversion can result in excessive pressure pulsations leading to piping vibration and fatigue failures, loss of fluid flow due to cavitation, or damage to pump components. However, the majority of these problems can be avoided if the piping system design incorporates pulsation analysis or evaluates the acoustic characteristics of the piping system. Typically, reciprocating pump systems are designed and built following standard industry practices. However, the interaction between the flow variation of the pump and the acoustic natural frequency of the piping is not addressed. Past experience has indicated excessive pulsation problems could occur if this interaction is ignored. As illustrated in Figure 1 flow variations can range from 23% for a triplex to only 2.2% for a nonuplex unit, three ( 3 )to nine ( 9 )plungers, respectively. Subsequently, these flow variations are converted into pressure pulsations by the piping system because the system pressure is generated by flow restrictions within the piping (i.e. friction effects, velocity head, flow through valves or orifice, etc.). Therefore, a varying flow will result in pressure variations or pulsations. However, whereas the flow variation for the pump can be easily predicted, the resultant pressure variations or pulsations are more difficult to determine due to the acoustic characteristics of the piping system. Figure 2 indicates how the flow variations are converted into pulsations a t distinct frequencies. These frequencies are directly related t o the number of plungers and pump speed. (f=NP/GO). In addition, test data confirms the peak amplitudes will occur at multiples of the primary or first order frequency. If the acoustic natural frequency of
u
DIAGRAMS FOR VARIOUS MULTIPLEX RECIPROCATING PUMPS SHOW VARIATION AT ALL POINTS FOR ONE REVOLUTION
1 1 1 I N/I I
I
.\hY
i
I I
TRIPLEX VARIATION ABOVE MEAN - 6.1% 16.9% VARIATION BELOW MEAN TOTAL VARIATION - 23.00/0
-
OUADRUPLEX VARIATION ABOVE MEAN - 11.OOh VARIATION BELOW MEAN - al.ssa TOTALVARIATION-32.5%W
1
,
1IY.M 1 I I
h W /I I I IY\.VI 1 I I N
QUINTUPLO( VARIATION ABOVE MEAN - 1.8% VARIATION BELOW MEAN 5.3C TOTAL VARIATION - 7 1%
-
SEXTUPLEX VARIATION ABOVE MEAN - 4.8% VARIATION BELOW MEAN TOTAL VARIATION - 14.0%
-
SEPTUPLEX VARIATION ABOVE MEAN 1.Z0h VARlAllON BELOW MEAN - 2.8% TOTAL VARIATION 4.0%
-
NONUPLEX .7% VARIATION ABOVE MEAN VARIATION BELOW MEAN - 1 5% TOTAL VARIATION
-
0"
24"
48'
72"
96" 120" 144" 168" 192" 216' 240' 264" 288" 312' 336' 360"
Fig. 1 Flow Variation
INGERSOLLRAND
CAMERON HYDRAULIC DATA TABLE 1
HYDRAULICS
A
Properties of Common Liquids At 68 F and 14.7 psia
HELMHOLTZ RESONATOR f
Density, lb/ft3
Liquid Pure Water Seawater Benzene Methanol E than01 Turpentine
62.3 63.9 54.8 49.3 49.3 54.2
Bulk Modulus 10"b/in2 318 (s) 344 ( s ) 222 ( s ) 144 ( s ) 155 ( s ) 223 ( s )
Acoustic Velocity ft/sec 4865 4993 4324 3678 3812 4363
-2
'-
2n
attenuate
1 fI
QUARTER WAVE STUB I*n f,
1) c
4L
A t 68' F and 200 psia
attenuate
Propane Isobutane N-butane
30.8 35.0 35.8
25 ( t ) 41 ( t )
53 ( t )
2000-2500 2200-2800 3100-3700
Note: The values listed are average. For higher temperatures or pressures obtain specific values.
t = isothermal bulk modulus s = isentropic bulk modulus
f2
fl
C SURGE VOLUME f
-5
' --
m
=
u
2L ~
~
/
d
attenuate
~
fI
From Engineering Dynamics Incorporated technical report, ED1 85305, Oct. 85.
f3
f2
attenuation Increases as m increases
D
Once determined, the acoustic frequency of the piping system has to be separated or removed from the excitation frequency generated by the pump's normal flow variation. vpically, pulsation dampeners or stabilizers are installed t o generate this separation. Pulsation suppression devices change the acoustic characteristics of the system.
HELMHOLTZ FILTER
I m
P
Unfortunately, one cannot indiscriminately install pulsation dampeners and expect reliable results. If the proper selection techniques are not followed, the addition of a dampener could increase system problems instead of reducing or eliminating them. Basically, there are four ( 4 )different types of styles of pulsation dampeners a s shown in Figure 4. Examining the attenuation characteristics of each type indicates the problems that can occur if the dampener is not married to the system properly.
=
~
~
"C . 2L, '
/
d -
p
"C 2L,
attenuate
~
passband frequency
attenuation increases as rn Increases
Fig. 4 Attenuation Characteristics of Acoustic Components
f3
CAMERON HYDRAULIC DATA
HYDRAULICS
Low frequency pulsations ( 1-20 hz) are the most damaging, easily discovered and can be attenuated by gas-filled bladder type dampeners or gas-charged volume devices (Helmholtz Resonators Figure 4a). Higher frequency pulsations (20-300 hz) on the other hand are harder to discover and attenuate. Reduction of high frequency pulsations usually require a sophisticated pulsation device, Helmholtz Filter (figure 4d). In addition, an acoustic analysis using either analog or digital methods is required to identify the problem frequencies and determine the effectiveness of the selected dampener.
hvpa = vapor pressure of the fluid a t pumping temperature (psi)
INGERSOLLRAND
Net Positive Suction Head (NPSH) NPSH available for reciprocating pumps applications is calculated in the same manner as for centrifugal pumps, except an additional allowance must be made for the reciprocating action of the pump and the acoustic characteristics of the piping system. Qpically, this additional requirement is termed "acceleration head", or the pressure required to accelerate the liquid column on each stroke to prevent separation of this column in the pump or suction piping. If there is insufficient suction pressure t o meet the NPSH requirements of the pump, cavitation resulting in loss of volumetric efficiency may occur. In addition serious damage may occur t o plungers, valves, packing, and other pump components due to the force released during the collapse of the gas or vapor bubbles during cavitation. Approximation Method The following equation is beneficial for approximating the NPSH available within a system. However, this method of analysis begins t o lose validity if the length of the suction line exceeds 50 feet, simultaneous operation of more than two pumps, more than three ( 3 ) bends in suction line, or complex mixtures of fluids. In addition this simplified method of analysis doesn't address the acoustic interaction discussed previously. NPSH = hp
-
hvpa
hst - hfs
-
ha
where: hp = absolute pressure (psi) on the surface of the Liquid supply level. (Barometric pressure for open tanks or sump; Absolute pressure existing in closed tanks or systems.)
hst = static pressure developed by column of fluid above ( + ) or below ( - ) the centerline of the suction manifold (psi). hfs = suction line loss (psi) including entrance loss, friction loss, pressure drop across valves, filters, system components, etc. ha = LVnCSG 2.31Kg L = length of suction line (feet) V = Fluid Velocity in suction line (fps) n = Pump Speed (rpm) c = Constant for pump type = 200 for duplex single acting = .I15 duplex double acting = .066 triplex single or double acting = .040 Quintuplex single or double acting = .028 septuplex single or double acting = .022 nonuplex single or double acting K = Theoretical Fluid Factor representing the reciprocal of the fraction of theoretical acceleration head. (K=2.5 for hot oil; 2.0 most hydrocarbons; 1.5 amine, glycol, water; 1.4 deareated water, 1.0 urea and liquids with minimal entrained air. SG = specific gravity of fluid g = gravitational constant (32.2ft/sec2) Fkgarding cavitation, Figure 5 illustrates how pulsating pressure waves can result in cavitation if the amplitude of the negative pressure spike falls below the vapor pressure of the fluid. Figure 6 illustrates the magnitude of pressure spikes that may occur due to cavitation. I t is easy to see why cavitation results in damage to pump components after reviewing Figure 6. Therefore, the best method of insuring cavitation will not occur and system NPSH is accurately predicted is to perform an acoustic analysis. In summation, reciprocating pump piping systems built following standard design practices can develop pulsation related problems if
HYDRAULICS
CAMERON HYDRAULIC DATA
INGERSOLLRAND
TRAVELING PULSATION WAVE
I
i
/-
POSITIVE PRESSURE
jw
LINE PRESSURE
L L
a
I
pi--
l li Pd Ps - P then cavltatlon w ~ loccur P, = ~ t a t l g ~ ~ r e s s u r e Pd - Dynam~cPulsal~ons,0 p PVp Vapo~Pressure
- ---\--L'-- - - LIQUID VAPOR PRESSURE \
I
I
VAPOR BUBBLES FORM AS NEGATIVE PULSE PASSES
**A-
*4
I
d,"ZOi
BUBBLES COLLAPSE AFTER NEGATIVE PRESSURE PULSE PASSES
DISTANCE ALONG PIPE
PS PD
=
80 PSIG P 1800 PSIG
WHEN NEGATIVE PRESSURE PULSATIONS EXCEED STATIC PRESSURE, CAVITATION OCCURS AND POSITIVE PRESSURE SPIKES RESULT.
Fig. 5 Acoustic Pulse Producing Local Cavitation in Liquid Filled Pipe
acoustics are ignored. These problems are normally the result of interaction between the flow variation characteristics of the pumps and the acoustic natural frequency of the piping system. The coincidence of the flow variation and acoustic frequency can result in extremely high pressure pulsations. If unattenuated, the pulsations can lead to cavitation, piping vibration, fatique failure of pipe elements, and possibly damage t o pump components. An acoustic analysis is required t o avoid these problems. Typically, acoustic analyses of piping systems are conducted via either electro-analog techniques or digital computer simulation. In either instance, this analysis is extremely complex, requiring the assistance of consultants or individuals experienced in this field. Previous experience has shown that systems built or modified to correct pulsation related problems utilizing the benefits of acoustic analysis operate reliably.
PLUNGER b2
262 RPM 400 PSliDlV 0 0 250 SEC F S 11 50 AM
12 10.83 PS PD
-
=
84 PSIG 1350 PSIG
Fig. 6 Cavitation of Liquids
Pump Drivers -speed torque curves
The driver must be capable of supplying more torque a t each successive speed from zero to full load than required by the pump in order to reach rated speed. This condition seldom presents any prob-
HYDRAULICS lem with the average centrifugal pump driven by standard induction or synchronous motors, but with certain applications such as with high specific speed pumps having high shut-off horsepower, or with reduced voltage starting, motors with high pull-in torque may be required.
wards. This complicates the speed torque cal~ul,~tion which should be referred to the pump manufacturer. Although torque is a function of the square of the speed in the case of centrifugal pumps, in the case of positive displacement pumps the torque is constant regardless of the speed, as long as the differential discharge pressure remains unchanged. Therefore, a general rule is the starting torque required for reciprocating pumps is approximately 125% of full load running - torque when starting under load, and approximately 25% full load running torque when starting without load.
Where centrifugal pumps in the low to medium specific speed range (under 3500) are started with the discharge valve closed the minimum torque requirements at various speeds for this condition are calculated as follows: Determine the maximum horsepower required a t rated speed under shut off conditions. Convert this horsepower to torque in (Ib. ft.) by using the formula: Tin(1b. f t . ) = 5250xhp rpm Torquevariesasthe squareof thespeed; therefore,toobtaintorqueat:
3/4 speed-multiply % speed-multiply 54 speed-multiply % speed-multiply
full speed torque by 0.563 full speed torque by 0.250 full speed torque by 0.063 full speed torque by 0.016
At zero speed the torque would theoretically be zero, but the driver must overcome stuffing box friction, rotating element inertia and bearing friction in order to start the shaft turning. This requires a torque a t zero speed of from 2%percent to 15 percent of the maximum. Speed torque requirements for starting conditions other than with closed discharge will vary depending on the horsepower requirements a t each successive speed. This can be determined by superimposing the pump H-Q curve on the system curve; selecting several speeds and calculating the horsepower a t each of the speeds selected; then calculating the torque for each speed selected. On vertical axial flow and propeller pumps with high specific speeds (and high shut off horsepower) it is standard practice to start the pumps with discharge valves partially open to reduce starting horsepower and thrust. In the case of the second of two pumps starting with the first already pumping, it is possible that the water may be flowing back through the discharge of the idle pump turning it back-
Engine drivers f; +
If reciprocating engine drivers are being considered the speedtorque requirements of the pump must be checked against the speed torque capabilities of the engine to assure their compatibility. Caution must be used in the selection of reciprocating engine drivers because excessive cyclic stresses may be superimposed on the pump shaft due to the periodic power impulses produced by each engine cylinder. These cyclic pulses produce a torsional vibration whose magnitude depends on the state of resonance of the entire system; this results in an increase in the cyclic tensile loading of the pump shaft. For these reasons the allowable pump shaft horsepower per 100 rpm (hp/100 rpm) limits must be reduced substantially. Due to the torsional vibration problems that may develop, the pump manufacturers should be checked to determine the suitability of the engine drive being considered. Impeller Profiles Values of Spec~fic Speeds.
,
-
7-7 r l 8
\
--.
-
Irnpellar
;__ , n u b Y,
Radial-Vane Arab
Franc,. V a n e Are.
Maxed F l o w Araa
Arnal F l o w Area
AX,s oq
Rotatton
Fig. 18 showing profiles of impeller designs ranging from the low specific speed radial flow design on the left to a high specific axial flow design on the right. (Courtesy of Hydraulic Institute.) 1-47
INGERSOLLUAND
CAMERON HYDRAULIC DATA
I NS
HYDRAULICS
= 9 0 0 DOUBLE SUCT.
5 7 0 0 SINGLE SUCT.
CAPACITY
PER CENT
OF
NORMAL
Fig. 19 showing shape of typical head-capacity curves for various specific speeds.
-I
u
I
Q:
0 Z
SINOLE SUCT
Fig. 21 Values of IFJ' 0
25
50
CAPACITY
75
100
125
150
P E R CENT OF NORMAL
Fig. 20 showing shape of typical brake horsepower curves for various specific speeds.
INGERSOLLRAND
CAMERON HYDRAULIC DATA
Fig. 22 Recommended maximum operating speeds for single suction pumps.
1-50
HYDRAULICS
Fig. 23 Recommended maximum operating speeds for double suction pumps.
1-51
INGERSOLLRAND
HYDRAULICS
CAMERON HYDRAULIC DATA BIBLIOGRAPHY
The following references are among those available if it is desired to investigate the subjects discussed herein in further detail: Crane Technical Paper No 410-Flow of Fluids through Valves, Fittings and Pipe. Crane Company. Advertising Division. 300 Park Avenue, New York, N.Y. 10022 Crane Technical Paper No. 41OM-Metric Edition-SI Units is now available; order from above address. (orders for Crane Papers must be prepaid) Hydraulic Institute Standards and Engineering Data Book- Address: Hydraulic Institute, 712 Lakewood Center North, Cleveland, Ohlo 43107.
The following are published by McGraw-Hill Inc.: Baumeister ant1 Marks-Standard Handbook for Mechanical Engineers. Chow-Handbook of Applied Hydrology. Hicks-Standard Handbook of Engineering Calculations. Kallen-Handhook of Inslrumerltation and Controls. King and Rrater-Handbook of Hydraulics. Merritt-Standard Handbook for Civil Engineers. Perry- Engineering Manual. Streeter-Handbook of Fluid Dynamics. Streeter and Wylie-Fluid Mechanics. TTrguhart - Civil Engineering Handhook. Karassik, Krutzsch, Fraser and Messina-Pump Handhook. Shames-Mechanics of Fluids.
The following a r e published by the Macmillan Publishing Company: Sahersky, Acosra and Hauptmann-Fluid
Flow.
The following a r e published by John Wiley & Sons: Stepanoff-Centrifugal and Axial E'low Pumps. Rouse-Engineering. Hydraulics. Vennard & Street-E:lementary Fluid L)ynamics
The following a r e published by Prentice Hall: NOTE: This chart has been constructed from test data obtained using the llqulds shown For applicability to other llqulds refer to the text
Fig. 24 NPSH reduction for pumps handling hydrocarbon liquids a n d high t e m p e r a t u r e water.
Binder-Fluid Mechanics. Albertson, Barton and Simons-Fluid Mechanics for Engineers Butterworth Publishers. 10 Tower Office Park Woburn, Ma. 01801 Telephone 1-617-933-8260
FORMULAS
2- 1
FORMULAS AND EQUIVALENTS
CAMERON HYDRAULIC DATA
General-Information on Liquids i
\
!
:
1
In this section the more commonly used Formulas and Equivalents are included for the convenience of the user. With references to Volume and Weight Equivalents, the following mavitv. and ssecific weieht comments on t e m ~ e r a t u r e .ssecific " " should be of interest. J
CONTENTS OF SECTION 2
P
Page
Volume and weight equivalents
Flow equivalents
............................. 2-4 ............................ 2-5
...................................2-6 and 2-7
Flow through orifices and nozzles Flow data -nozzles Flow data-weirs
The Specific Gravity of a solid or liquid is the ratio of the mass of the body to the mass of an equal volume of water a t some selected base or standard temperature. Specific Gravity of Water is usually given a s 1.000 a t 60°F (15.6"C). However, in some cases, for convenience, it may be given as 1.000 at 68°F (20°C); and in other cases a s 1.000 a t 39.Z°F (4°C) which is its point of maximum density. Based on using water having a specific gravity of 1.000 a t 39.Z°F (4°C) a s a reference point, water a t 60°F (15.6"C) will have a specific gravity of 0.9991, and 0.9983 a t 68°F (20°C)- therefore, for practical applications which temperature (39.Z°F-60°F or 68°F) is selected a s a base for reference makes little difference. At the present time the base of 39.2"F (4°C) is commonly used by physicists, but the engineer usually uses 60°F (15.6"C) or 68°F (20°C) as a base. For actual specific gravities and specific weights of water for other temperatures to 705.47"F (374.15"C) see page 4-4.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2-3
Head and pressure equivalents..
. . . . . . . . . . . . . . . . . . . . . . . . . . .2-8
........................................ 2-9
Specific Gravities of Other Liquids is given relative to waterusually a t 60°F (15.6"C). Numerically, specific gravity is about the same a s the density in grams per cubic centimeter in the cgs system. Other systems of measuring specific gravity or density are related; conversion tables are shown on pages 4-6 to 4-19.
................................. 2-10 and 2-11
Irrigation table . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2-12 Frequently used formulas, constants and conversions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .2-13 through 2-16
I.
I
(For metric formulas see page 8-28)
U '
Temperature affects the characteristics of a liquid. For most liquids an increase in temperature decreases viscosity, decreases specific gravity and increases volume (see page 1-6).
Selected Formulas and Equivalents General information on liquids
A
Specific Weight a s used in this discussion, is the weight in lb per cu ft. The specific weight of water a t 39.Z°F is 62.4258 lb per cu ft., a t 60°F is 62.3714 lb per cu ft; a t 68°F is 62.3208 lb per cu ft. For other temperatures proper specific weight values should be used (see page 4-4).
0
Density is the mass per unit volume. I t is usually stated in lb/ft", or g/cm3 or kg/m" For a detailed discussion see page 4-3.
';3
Volume & Weight Equivalents Example: 20 U S gallons x 3.7854 = 75.708 liters
6
Weight equivalent basis water at 60°F (15.6"C)
Volume and weight equivalents US gallons
Imperial gallons
Cubic inches
1
0.8327
231
0.13368
3.7854
0.0037854
8.338
0.00417
3.782
Imperial gallons . . . . . . . . . . . .
1.20094
1
277.39
0.16054
4.546
0.004546
10.0134
0.005
4.542
Cubic inches . . . . . . . . . . . . . . .
0.004329
0.003605
1
0.0005787
0.016387
0.000016387
0.036095
55409
0.016372
Cubic feet . . . . . . . . . . . . . . . . . .
7.48052
6.229
1728
1
28.31 7
0.02832
62.3714
0.031 19
28.291
Liters . . . . . . . . . . . . . . . . . . . . . .
0.2642
0.2200
61.024
0.035315
I
0.001
2.2029
0.001 1
0.1000
Cubic meters . . . . . . . . . . . . . . .
264.2
220.0
61024
35.315
1000
1
2202.65
1.10133
1000.0
Pounds* . . . . . . . . . . . . . . . . . . .
0.1 199
0.09987
27.71
0.016033
0.4539
,000454
1
0.0005
0.45359
U S gallons . . . . . . . . . . . . . . . .
Cubic feet
Cubic meters
Liters
p p p p
US tons
Pounds
Kilograms
'0.
ce,
,S rn
<
-
p p
U S tons* . . . . . . . . . . . . . . . . . .
239.87
199.7
55409
32.066
907.9
0.908
2000
1
907.2
Kilograms*. . . . . . . . . . . . . . . . .
0.2644
0.2202
61.08
0.03534
1.000
0.001
2.205
0.001 1
1
.
The capacity of a barrel varies in different industries. For instance 1 bbl of beer = 31 U S gallons 1 bbl of wine = 31.5 U S gallons 1 bbl of oil = 42 U S gallons 1 bbl of whiskey = 45 U S gallons
2 $ %
DRUMS: The drum is not considered to be a unit of measure as is the barrel. Drums are usually built to specifications and are available in sizes from 2% gallons to 55 gallons; the most popular sizes are the 5 gallon, 30 gallon and 55 gallon drums.
Equivalents of Head and Pressure Example: 15 l b l f t h 4.88241 Convert Atmospheres
=
73.236 kglm2
In. water (68 F)'
kg/cm2
ft water (68 F)'
~n mercury (32 F ) t
rnm mercury (32F)t
Bars
t
. . . . . .
0.068046
0.070307
2 3106
2.03602
0 06895
Ib!ft2 . . . . . .
0.000473
0.000488
0.01605
0 014139
0.000479
Ibi~n"
Atmospheres . .
1
1.0332
33.9570
29.921
32.8650
28 959
1 01325
0 98067
kg/cm2 . . . . .
0 96784
1
kgim'
0.0000968
0.0001
0.003287
0.002896
0.000098
0 002454
0.00253
0.08333
0 073430
0.00249
0.029449
0.03043
1
0.88115
0 029839
In. mercuryt
0.033421
0.03453
1.1349
1
0.033864
mrn mercuryt
0.0013158
0.0013595
0.044680
0.03937
0 001333
Bars3 . . . . . .
0.98692
1.01972
MPat
9.8692
.......
In. water' ft water'
....
. . . . . . .
t mercury at 32F (OC) Water at 68F (20C) Courtesy of Crane Co.. Techn~calPaper 410
33 5130 335.130
10.1972
$ 1 MPa (Megapascal)
=
10 Bars
=
1,000,000 Nlm' (Newtonslmeter')
29.5300 295 300
1
10.0
MegaPascals (MPa)$
$ m
0
INGERSOLLRAND
CAMERON HYDRAULIC DATA
FORMULAS AND EQUIVALENTS
Flow Equivalents
Flow Equivalents Gallons per 24 hours
Cu Ft per Sec Cu ft per to
sec
Gallons per to mlnute
Gallons per 24 hrs
to mVhr
20.39 40.78 61.17 81.56 102.0
Gallons per 24 hrs
Gallons to
per
to
mlnute
Cu ft per sec
to m3!h r
100,000 125,000 200,000 400.000 500,000
69 87 139 278 347
0.15 0.19 0.31 0.62 0.77
15.77 19.71 31.54 63.08 78.85
0.2 0.4 0.6 0.8 1.0
90 180 269 359 449
129.263 258.526 387.789 517.052 646,315
1.2 1.4 1.6 1.8 2.0
539 628 718 808 898
775.578 904.841 1,034,104 1.163.367 1,292.630
122.3 142.7 163.1 183.5 203.9
600.000 700.000 800.000 900,000 1,000,000
417 486 556 625 694
0 93 1 08 124 1 39 1.55
94 62 110.4 1262 141.9 157.7
2.2 2.4 2.6 2.8 3.0
987 1.077 1.167 1,257 1,346
1,421.893 1.551.156 1.680.420 1,809.683 1,938,946
224.3 244.7 265.1 285.5 305.9
2,000.000 3.000.000 4.000.000 5,000,000 6,000,000
1.389 2.083 2.778 3.472 4,167
3.09 4.64 6.19 7.74 9.28
315 4 473.1 630.8 788.5 946.2
3.2 34 3.6 3.8 4.0
1,436 1.526 1.616 1.705 1.795
2,068.209 2,197.472 2,326,735 2.455.998 2.585.261
326.2 346.6 367.0 387.4 407.8
7,000,000 8.000.000 9.000.000 10.000.000 12.000.000
4,861 5.556 6,250 6.944 8.333
10.83 12.38 13.92 15.47 18 56
1.104 1.262 1.419 1.577 1,892
4.2 4.4 4.6 4.8 5.0
1.885 1,975 2.068 2.154 2.244
2,714,524 2,843,787 2,973,050 3.102.313 3.231.576
428.2 448.6 469.0 489.4 509.8
12,500.000 14,000,000 15,000,000 16,000,000 18,000.000
8.680 9.722 10,417 11.111 12.500
19 34 21.65 23 20 24.75 26.85
1,971 2.208 2.366 2,523 2.839
10.0 20.0 30.0 40.0 50.0
4.488 8,987 13.464 17,952 22.440
6.463.152 12.926.304 19,389.456 25,852,261 32.315.760
1.020 2,039 3.059 4.078 5.098
20.000.000 25.000.000 30.000.000 40.000.000 50.000,OOO
13,889 17,361 20,833 27,778 34,722
30.94 38.68 46.41 61.88 77.35
3,154 3,943 4,731 6,308 7.885
60.0 70.0 75.0 800 90.0
26,928 31.416 33.660 35.904 40.392
38.778.912 45,242,084 48,473,640 51.705.216 58,160,368
6.117 7,137 7.646 8,156 9.176
60.000,OOO 70.000.000 75.000.000 80.000.000 90.000.000
41.667 48,611 52,083 55.556 62.500
92.82 108.29 116.04 123.76 139.23
9.462 11,039 11.828 12,616 14.193
100.0 101.0 102.0 103 0 104 0
44.880 45.329 45.778 46.226 46.675
64,631.520 65,277.835 65,924.150 86,570,466 67,216,781
10.195 10.297 10.399 10.501 10,603
100,000,000 125.000.000 150.000.000 175.000.000 200,000.000
69.444 86,805 104.167 121.528 138.889
154.72 193.40 232 08 270.76 309 44
15.770 19.713 23.665 27.598 31.540
105 0 106.0 107 0
47.124 47.572 48.022
67,863,096 68.509.411 69.155.726
10.705 10,807 10,909
225,000,000 250,000,000 300,000,000
156.250 173.61 1 208,333
348.12 386 80 464 16
35.483 39.425 47.310
Note-gpm and gal per 24 hr glven to the nearest whole number The value 7 48 gallons equals 1 cu ft is used In calculattng above table
2- 7
INGERSOLLRAND
CAMERON HYDRAULIC DATA
FLOW THROUGH ORIFICES AND NOZZLES Approximate discharge through orifice or nozzle. Q
=
19.636 C d l z f l
J (2 -
FORMULAS AND EQUIVALENTS Flow Data- Nozzles Theoretical Discharge of Nozzles in U S Gallons Per Minute
,
rwhere d I is greater than 0.3
d
Q = 19.636 c d I 2fiwhere 2 is less than 0.3 d, Q = flow, in gpm
d , = dia of orifice or nozzle opening, inches h = differential head at orifice, in feet of liquid. d, = dia of pipe in which orifice is placed, inches . C = discharge coefficient (typical values below for water) M-IH74ANT ~UBI
SHARP-
IDGED
SQUARE EDGED
RE-CNTBANT
TUBE
SQUARE EDGER
,---
WELL ROUNDSD
I - - +---+iJ - . C J --i-+j== -+
W
= j r i -
~ ~ U C U U I L~ F ~U ~ C T I I ~ Z ~ ~ D Immwmrn *.
.II.UEDIA.
C = .52
C
=
.61
C = .61
C = .73
C = .82
C=.%
Table on next page shows flow using a value of C = 1.00. These flows values may be multiplied by the C value for a particular discharge to obtain actual flow. Approximate flow through Venturi tube. Q
=
19.05 dl2-
Q = 19.17 d ,**
d , ( 2)" -
for any Venturi tube
for a Venturi tube in which d , = 113 d 2
Q = flow, in gpm d , = dia. of venturi throat, inches d, = dia. of main pipe, inches H = diff. in head between upstream end and throat (ft.)
These formulas are suitable for any liquid with viscosities similar to water. The values given here are for water. A value of 32.174 ft. per sec2 was used for the acceleration of gravity and a value of 7.48 gal. per cu ft in computing the constants.
.. - .
-
-
~
'* Head in feet basis water gt approx. 60'F
INGERSOLLRAND
CAMERON HYDRAULIC DATA
FORMULAS AND EQUIVALENTS w Data Weirs
Discharge From Rectangular Weir with End Contractions
Discharge from Triangular Notch Weirs with End Contractions h
Figures in Table are in Gallons Per Minute Length (L) of weir in feet
Length (L) of weir in feet
Additional gpm for each ft over5ft
5
Additional gPm for each ft over5 ft
Head (H) ~n inches
3
5
107.5 150.4 197 248
179.8 250.4 329.5 415
36.05 50.4 66.2 83.5
8 81/4 8M 8%
2338 2442 2540 2656
3956 4140 4312 4511
814 850 890 929
Head
(HI
~n inches
1
1 11/4 1% 1%
35.4 49.5 64.9 81
2 2% 2'/2 2%
98.5 117 136.2 157
302 361 422 485
506 605 706 815
102 122 143 165
9 9'/4 9% 9Y4
2765 2876 2985 3101
4699 4899 5098 5288
970 1011 1051 1091
3 3'/4 3V2 3Y4
177.8 199.8 222 245
552 624 695 769
926 1047 1167 1292
187 211 236 261
10 10V2 11 11Yz
3216 3480 3716 3960
5490 5940 6355 6780
1136 1230 1320 1410
4 4Y4 4'/2 4%
269 293.6 318 344
846 925 1006 1091
1424 1559 1696 1835
288 316 345 374
12 12V2 13 13l/z
4185 4430 4660 4950
7165 7595 8010 8510
1495 1575 1660 1780
5 5'/4 5% 5%
370 395.5 421.6 449
1175 1262 1352 1442
1985 2130 2282 2440
405 434 465 495
14 1 4 15 15%
5215 5475 5740 6015
8980 9440 9920 10400
1885 1985 2090 2165
6 6'/4 6Y2 63h
476.5
1535 1632 1742 1826
2600 2760 2920 3094
528 560 596 630
16 161/2 17 17Vz
6290 6565 6925 7140
10900 11380 11970 12410
2300 2410 2520 2640
1928 2029 2130 2238
3260 3436 3609 3785
668 701.5 736 774
18 18Vz 19 19fi
7410 7695 7980 8280
12900 13410 13940 14460
2745 2855 2970 3090
7 7'/4 7% 7%
3
This table is based on Francis formula: Q = 3.33 (L - O.2H)H1,' in which
Q= L= H= a=
ft3 of water flowing per second. length of weir opening in feet (should be 4 to 8 times H). head on weir in feet (to be measured at least 6 ft back of weir opening). should be at least 3 H.
Head ~n inches
Flow in gallons per min . 90" 60"
1 1l/4 1112 13/4
notch
notch
2.19 3.83 6.05 8.89
1.27 2.21 3.49 5.13
Head (HI in inches
Flow in gallons per min
Flow in gallons per min
Head (HI in inches
90" notch
60" notch
90" notch
60" notch
6% 7 7'14 7%
260 284 310 338
150 164 179 195
15 15l/z 16 l6V2
1912 2073 2246 2426
1104 1197 1297 1401
2 2'/4 21/2 2%
12.4 16.7 21.7 27.5
7.16 9.62 12.5 15.9
7Y4 8 87/4 8'/2
367 397 429 462
212 229 248 267
17 17% 18 l8l/2
2614 2810 3016 3229
1509 1623 1741 1864
3 3'/4 3'12 3Y4
34.2 41.8 50.3 59.7
19.7 24.1 29.0 34.5
83/4 9 9'/4 g1/2
498 533 571 610
287 308 330 352
19 1g1/z 20 201/2
3452 3684 3924 4174
1993 2127 2266 2410
4 4'14 4'12 43/4
70.2 81.7 94.2 108
40.5 47.2 54.4 62.3
9374 10 10% 11
651 694 784 880
376 401 452 508
21 21% 22 23%
4433 4702 4980 5268
2560 2715 2875 3041
5 5'14 5% 53A
123 139 156 174
70.8 80.0 89.9 100
1 2 12 121/2 13
984 1094 1212 1337
568 632 700 772
23 23% 24 24%
4565 5873 6190 6518
3213 3391 3574 3763
6 6'/4 6%
193 214 236
112 124 136
13% 14 14%
1469 1609 1756
848 929 1014
25
6855
3958
Based on Thompson formula:
Q
=
(C)(4115) (L) (H) v
m
in which Q = flow of water in ft'lsec L = width of notch in ft at H distance above apex H = head of water above apex of notch in ft C = constant varying with conditions, .57 being used for this table a = should not be less than 3AL. For 90" notch the formula becomes
For 60" notch the formula becomes
E
INGERSOLLRAND
CAMERON HYDRAULIC DATA
FORMULAS AND EQUIVALENTS
Head and pressure: (For water at normal temperatures (60°F)) Head in feet Head in psi
=
=
Torque- See page 1-35
Head in psi x 2.31 Torque in lb-ft =
SP gr Head in feet x sp gr 2.31
Pumping power- See page 1-27
wm bhp = brake horsepower
I
KW input to motor =
pump bhp x 0.7457 motor efficiency
HS,4
(See page 1-20)
gprn =design capacity at best efficiency point for single suction first stage impellers, or one half design capacity for double suction impellers.
Affinity laws (See page 1-30)
Note: To obtain the hydraulic horsepower from the above expressions assume a pump efficiency of 100%. U S gallons per minute delivered (one gallon = 8.338 Ibs a t 60 Deg F. bph = barrels (42 gallons) per hour-delivered = 0.7 gpm H = total head in feet of liquid-differential psi = lb per sq in-differential sp gr = specific gravity eff = efficiency expressed as a decimal Pump bhp Electrical hp input to motor = motor efficiency
rpmVgpm =
where
bph x psi (reciprocating terminology) 2449 x eff
=
N.
gpm = design capacity at best efficiency point H = head per stage a t best efficiency point rpm = speed rpm d gprn (See page 1-21) Suction speci$c speed = S = (NPSHR)3'4
1714 x eff
gpm
=
where
x H (in feet) x sp gr (centrifugal terminology) 5657 x efficiency
In the above expressions:
per minute
page 1-19
Impeller specifi speed
- gpm x psi (reciprocating terminology) -
Specific speed-See
gpm x H (in feet) x sp gr (centrifugal terminology) 3960 x efficiency
- bph
= revolutions
rpm
horsepower x 550 = ft-lblsec x 33000 = ft-lblmin x 2546 = BTUIhr x 745.7 = watts x 0.7457 = kilowatts x 1.014 = metric horsepower Brake hp =
bhp x 5250
A t constant impeller diameter:-(Variable
I
RPMl RPM,
-
A t constant speed: -Variable
I
gpm, gpm,
speed)
a, a>
impeller diameter)
INGERSOLLUAND CAMERON HYDRAULIC DATA Miscellaneous Temperature equivalents:
Kelvin
0 Absolute zero .......... Water freezing point: (14.696psia 101.325 KPa) . . . . . . . . . . . . . . . . 273.15 Water boiling point: (14.696psia 101.325 KPa) . . . . . . . . . . . . . . . . 373.15
Degrees Celsius
Degrees Fahrenheit
273.15
- 459.67
491.67
0
32
671.67
100
212
Degrees Rankine
0
-
Celsius/Fahrenheit conversions:
Deg C Deg F
= =
5/9 (OF - 32) 9/5 OC + 32
Reynolds Number ( R ) : (see page 1-4)
V = Average velocity-ft/sec D = Average internal diameter-ft u = Kinematic viscosity of the fluid-ft2/sec (For pure fresh water a t 60°F v = 0.000 0 012 16 ft2/sec.) Dare y - Weisbach (see page 3-3)
Haxen and Williams (see page 3-7)
NOTE: For selected arithmetrical and geometrical formulas refer to page 7-3
--
I
I
-
\
I
SECTION Ill
-
FRICTION
A
1
LLRAND-
1
INGERSOLL-RAND CAMERON HYDRAULIC DATA Friction Losses in Pipe CONTENTS OF SECTION 3 Friction Data: Friction loss principles . . . . . . . . . . . . . . . . .
Page . . . . . . 3-3
Darcy-Weisbach Formula . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3-3 Hazen and Williams Formula . . . . . . . . . . . . . . . . . . . . . . . . . 3-7 Example-Head loss Calculation . . . . . . . . . . . . . . . . . 3-9 to 3-10 Moody diagram-Reynolds Nos. Versus Friction Factor Chart . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3-11 Friction of water in cast iron and steel pipe . . . . . . . . 3-12 to 3-34 Friction of water in copper tubing and brass pipe . . . 3-34 to 3-48 Friction of viscous liquids in pipes . . . . . . . . . . . . . . . 3-48 to 3-88
where
and fittings . . . . . . . . . . . . 3-122
h, = friction loss- ft of liquid L = pipe length -feet D = average inside diameter of pipe-feet V = average pipe velocity in ftisec g = gravitational constant (32.174 ft/sec2) f = friction factor-a dimensionless number which has been determined experimentally and for turbulent flow depends on the roughness of the pipe's interior surface and the Reynolds number (see page 3-5). For laminar (viscous) flow (Reynolds number below 2000) the roughness or condition of the pipe's interior surface has no effect (except a s i t affects the cross sectional area) and the friction factor (0 becomes:
Pages 3-103 through 3-109 are located in this section (following Paper Stock Friction Data) for convenience and ready reference.
For turbulent flow (Reynolds number above 4000) the friction factor is affected by both the roughness of the pipe's interior surface
Friction of paper stock in pipes . . . . . . . . . . . . . . . . .3-88 to 3-101 Friction of paper stock in fittings . . . . . . . . . .3-101 to 3-102 *General Information-Pulp and Paper Industry . . .3-103 to 3-110 Friction of water-valves and fittings . . . . . . . . . . .3-110 to 3-122 Friction of water-valves and fittings in terms equivalent length straight pipe . . . . . . . . . . . . . . . . . . . . . . .3-120 to 3-121 Friction-viscous liquids-valves
* NOTE:
The resistance to flow as a liquid is moved through a pipe results in a loss of head or pressure and is called friction (measured in feet of liquid). This resistance to flow is due to viscous shear stresses within the liquid and turbulence that occurs along the pipe walls due to roughness. The amount of head loss for a given system depends on the characteristics of the liquid being handled; i.e. viscosity, size of pipe, condition (roughness) of pipe's interior surface and length of travel; also loss through various valves, fittings, etc. (see page 3-110). A vast amount of research has been conducted to determine the amount of friction loss for different conditions, and various expressions based on experimental data have been developed for calculating friction loss. The expression most commonly used in present day practice and the one on which the tables in this book are based is the *Darcy-Weisbach equation. This formula recognizes that pipe friction is dependent on condition (roughness of pipe's interior surface), internal diameter of pipe, velocity of liquid and its viscosity. It is expressed as: - L V'
'
Also known as t h e Fanning Formula
INGERSOLLRAND
CAMERON HYDRAULIC DATA
and the Reynolds Number and can be determined from an equation developed by C. F. Colebrook (1939); i.e. 1
--
-
-2 log,,
&j
+ .51j RVT
where
R
=
f
=
Reynold's Number
VD
=2'
Friction Factor E = Absolute Roughness-in feet-(See following table) D = Inside diameter of pipe-ft V = Average pipe velocity -ft/sec v = Kinematic Viscosity -ftz/sec Since the Colebrook equation is non-factorable in f, awkward and difficult to solve, the value of f may be obtained from a graph or chart developed by L. F. Moody (ASME 1944) and included herein on page 3-11. This graph shows the relation between the friction factor f, the Reynolds Number R, and the relative roughness clD, where is the absolute roughness in feet and D is the pipe diameter in feet; Note that for convenience the relative roughness is used in developing the graph on page 3-11. However, to avoid possible errors in reading the friction factor f from the Moody graph the friction loss data presented in the tables on pages 3-12 to 3-88 were calculated mathematically (programmed on a digital computer) basis the following assumptions: (a) Turbulent Flow -Reynolds Numbers above 2000 except as noted (see pages 1-4 and 1-5). (b) Absolute Roughness Parameters (€)-of 0.00015 for new clean steel pipe (schedules as listed) and 0.0004 for new asphalt dipped cast iron pipe; and 0.000005 for smooth copper tubing and brass pipe. (c) Water Friction-Pages 3-12 to 3-48 based on pure fresh water a t a temperature of 60°F (15.6 "C); Kinematic viscosity (v) = 0.000 012 16 ft2/sec (1.130 Centistokes.) It should be noted that since the viscosity of water can vary appreciably from 32°F to 212°F the friction can increase or decrease as much as 40% between the two temperature extremes. (d) Viscous Liquids-Friction -Pages 3-48 to 3-88, absolute roughness parameter of 0.00015 for new clean steel pipe-schedules as listed (see viscosity discussion page 4-23). For pipes with other absolute roughness parameters see the following table.
FRICTION
Type of pipe (new, clean, condition) Drawn tubing-glass, brass, plastic Commercial steel or wrought iron Cast iron -asphalt dipped Galvanized iron Cast iron -uncoated Wood stave Concrete Riveted steel
Absolute roughness" E (in feet) 0.000005 0.00015 0.0004 0.0005 0.00085 0.0006-0.0003 0.001-0.01 0.003-0.03
' Basis data from Hydraulic Institute Engineering Data Book.
To obtain friction loss in pipes having other roughness parameters, the applicable friction factor can be obtained from the Moody chart on page 3-11 and then, if desired, checked for accuracy with the Colebrook formula. In using the Moody chart on page 3-11 the relative roughness (€ID) is used where "E" is the absolute roughness in feet and "D" is the pipe diameter in feet. Friction losses for pipe sizes between those listed in the tables may be found with reasonable accuracy using a ratio of the fifth power of the diameters; thus Desired friction loss in pipe B dia A = Known friction loss in pipe A dia I3
(
Use of a general multiplier to correct the head loss shown in these tables to head loss for pipes of other roughness characteristics is not recommended, or safe; multipliers can be developed, but they would apply accurately to only one flow or capacity. Instead the best procedures to follow is to: Calculate the applicable Reynolds Number, select the applicable friction factor from the Moody Chart and use it in the Darcy formula to determine the head loss desired. The effect of aging and the allowances that should be made in estimating friction loss is beyond the scope of this discussion. I t will depend on the particular properties of the fluid being handled and its effect on the interior pipe surface; any safety factors to allow for this effect must be estimated for local conditions and the requirements of each particular installation. CAUTION-Since the friction loss data in the tables in this book are calculated on the basis of the roughness parameters for clean new pipe with no allowances for aging, manufacturing tolerances and other conditions which may cause variations of the interior pipe 3-5
FRICTION
INGERSOLL-RAND CAMERON HYDRAULIC DATA surfaces, it is suggested that for most commercial design purposes a safety factor of 15 to 20% be added to the values in the tables. For a more detailed discussion of friction loss calculations and the various items that should be considered, reference is suggested to the Engineering Data Book of the Hydraulic Institute; also to Crane Technical Paper No. 410. See page 1-47 for bibliography. For convenient reference formulas used in connection with the Darcy-WeisbacWColebrook method are: Head Loss L V2
hf= f - - = D 2g
f
0.03112 L(gpmI2 d5
=
f
0.0153 L(bphjP d5
Friction Factor (f): (also see graph page 3-11.)
64 F o r R less than 2000 (laminar flow): f = R Reynolds Number:
R (water a t 60°F) =
2799.5(gpm) d
Velocity:
=
f- LV" 4m2g
g
acceleration of gravity, ft/sec2(taken as 32.174 ft/sec2 in making conversionsj. hf = head loss due to friction, ft of liquid r = absolute roughness in feet -see page 3-5 h, = Velocity head-ft of liquid =
k = kinematic viscosity, centistokes
z
=S
v = kinematic viscosity, -ft2/sec L = length of pipe including equivalent length for loss through fittings- ft flow area m = hydraulic radius = = ft wetted perimeter (use in calculating flow in open channels or unfilled pipes) p = density a t temp. and press. a t which liquid is flowing, lb/ft3 gpm = flow of liquid, gallons per minute. p = absolute or dynamic viscosity, lb-sec/ft2 V = velocity of flow, ft/sec s = density, glcm" (water at 4°C or 39.2"F = 1.000) z = absolute or dynamic viscosity-centipoises HAZEN AND WILLIAMS Although the Darcy-Weisbach/Colebrook method (on which the tables in this book are based) offers a rational mathematical solution to friction loss calculations (since it can be applied to any liquid except plastics and those carrying suspended solids) some engineers prefer to use one of the many empirical formulas that have been developed for water flowing under turbulent conditions. Of these, the most widely used and accepted is the Hazen and Williarn,~empirical formula since it is convenient to use and experience has shown that it produces reliable results. In a convenient form it reads:
Velocity Head:
SYMBOLS USED IN FORMULAS, PAGES 3-6 and 3-7 bph = flow of liquid, barrels (42 gal) per hour. d = inside diameter of circular pipe-inches C = Friction Factor for Hazen & Williams D = inside diameter of circular pipe-feet f = Darcy-Weisbach friction factor, dimensionless. 3- 6
This formula is basis a fluid having a kinematic viscosity, v = 0.000 012 16 ft2/sec(1.130 centistokes) or 31.5 SSU which is the case for water a t 60°F. But since the viscosity of water can vary appreciably from 32°F to 212OF t h e friction can decrease or increase a s much a s 40% between the two temperature extremes. However, this formula can be used for any liquid having a viscosity i n the range of 1.130 centistokes. Values of C for various types of pipe with suggested design values are given in the following table with corresponding multipliers that can be applied, when appropriate, to obtain approximate results. 3- 7
Hazen and Williams-Friction
Friction-head
Factor C** Values of C
Type of
I
pipe
RangeHlgh = best.
$ 7 Low poor =
1
Cement-Asbestos Flbre B~tumastlc-enamellined Iron or steel centrifugally applied Cement lined Iran or steel centrifugally applied
1
Average value . 8 , new PIP^
or corroded
Commonly
vA70r
deslgn purposes
160-140 -
150 150
140 140
160 130
148
140
-
150
140
Copper brass lead tln or glass pope and tublng
150-120
140
130
Wood-stave
145-110
120
110
Welded and seamless steel.. . . . . . . . Interior rlveted steel (no projecting rlvets). . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Wrought-1.0.. Cast-1.0. . . . . . . . . . . . . . . . . Tar-coated cast-lron . . . . . . . . . . . . . . . . . . . . . .
150-80
1
Glrth-r~vetedsteel (projecting rivets in girth .......................... seams only) ......................... Concrete. Full-riveted steel (projecting rivets in g ~ r t h and horizontal seams1 . . . . . . . . . . . V~trlf~ed. Splral-rlveted iteel (flow wlth lap)
I
Spiral-riveted steel (flow agalnst lap)
......
1
& ;&
:ii
1
152-85
-
I
130
11s
I
Problem-referring to the accompanying figure, page 3-10, a pump takes water (68°F) &om a sump and delivers it through 1250 feet of 4" diameter schedule 40 steel pipe. The suction pipe is 4" vertical 5 feet long and includes a foot valve and a long-radius elbow. The discharge line includes two standard 90 degree flanged elbows, a swing check valve and an open wedge-disc gate valve. I t is required to find the suction lift (hs) and the discharge head (h,) when the rate of flow is 200 gpm.
from table on page 3-20.
Velocity head
I
116
calculation:
To illustrate the application of the friction and head loss data in calculating the total system head for a specific system the following example is offered:
(a) SUCTION LIFT-Data
1
130 120
loss-sample
Solution
v2
= - = 0.395
ft
2g
100
90
60
60
Corrugated steel
................
ValuesofC..
.........
150
140
130
120
110
100
90
80
70
60
...
47
.54
.62
.71
.84
10
1 22
1.50
1 93
2.57
'Multiplier (Basis C = 100)
FRICTION
CAMERON HYDRAULIC DATA
INGERSOLLRAND
' Multiplier to correct lrict~onloss tables (in prevlous ed~t~ons-14thEd~t~on and earlier), cannot be used with tables In thls book whlch are based on the Darcy-Weisbach-Colebrookformula. Note: the Hazen Willlams fr~ct~on factor "C" must not be confused wlth the Darcy-Weisbach-Colebrook frlction factor "f": these two frlctlon factors are not In any way related to each other.
Pipe friction loss h, = 2.25 ft per 100 f t of pipe. The resistance coefficient for the foot valve (page 3-115) is K = 1.3 and for the long-radius elbow (page 3-112) is K = 0.27.
The head loss due to pipe friction will be:
"
The head loss in the foot valve and long-radius elbow will be:
Total suction lift
(b)= (28.62 - 24.00) + 0.62 + 0.11 = 5.35 ft
(b) DISCHARGE HEAD-The 4" discharge line will be:
head loss due to pipe friction in the
INGERSOLLRAND
FRICTION
CAMERON HYDRAULIC DATA
Friction Factors for Commercial Pipe
1-1
(for Darcy-Weisbach formula, page 3-3)
ELEV 2 8 9 0 0
Reldtive Roudllness
,, ,
O
D
O
N
O
Y
0
0
-
B
- 8 "
"
-
0"
O
=
1) . r
0 0 - -
688s
8
0 0 0 -
O
- -8 8 L
-
+
a cz D
0 .
A L L P I P E 1s NEW I-INCH
7'
\FOOT
STD.
STEEL-SCHEDULE
a0
VALVE
The resistance coefficient for the various fittings as obtained from the tables will be: Standard 90 degree flanged elbow (pg. 3-112) Swing check valve (pg. 3-115) Wedge-disc gate valve (pg. 8-111) Sudden enlargement (pg. 3-116 to 3-118) The total resistance coefficient for the fittings on the discharge side and sudden enlargement at exit will be: K = 2 x 0.51 + 1.70 + 0.14 + 1.0 = 3.86 Therefore the head loss due to the fittings on the discharge side and sudden enlargement will be:
-
The total discharge head (h,) will be:
cz
-
Total system head (H) = h, + h, = 290 + 5.35 = 295 ft Add a reasonable safety factor to allow for any abnormal condition of pipe's interior or surface (see page 3-5).
d
m
9
-
"
-
9
C
I , q
-
r
i lfoorly (liagrarn
cz
rn F .
,
Y
-
a
"7 4
c3
--
s
0
'=2
g
g
F r ~ c t ~ o nFactor
5th i.il C o p y n ~ h t 1971 by Mctiraa-H111 Book C i # m p a n > . N e r Yark) Sote: Chart shows relation of 1,elatlvr t.ooghnra.i~-dl) whi.t.r r i s a t w ~ l u t rrlnighnr,~in f ~ r am1 l 1) ~-;,liarnrtet.in feet.
(V 1. Strretrr "1.'1,11il.lIerhantrc
"
CAMERON HYDRAULIC DATA
INGERSOLLRAND
Friction of Water
FRICTION
New Steel Pipe
Friction of Water
(Based on Darcy's Formula)
New Steel Pipe (Continued)
(Based on Darcy's Formula) '/a lnch
1/4 lnch Standard wt steel-sch
40
Extra strong steel-sch
.622"inside d ~ a Flow US gal per mln
Veloc~ty fl per sec
Veloclty head ft
Head loss ll per 100 n
Veloclty I t per sec .96 1.37 2.06 2.74 3.43
.01 .03 .07 12 18
1.39 2.58 5.34 9.02 13.6
1 90 2 85 3 80 4.74
056 126 224 349
3.0 3.5 4.0 45 5.0
3 17 3.70 4 22 475 5.28
,156 ,212 ,277 351 433
9.94 13.2 17.0 21.1 25.8
4.11 4.80 5.48 6.1 7 6.86
.26 .36 .47 .59 .73
19.1 25.5 32.7 40.9 50.0
5.69 6.64 7.59 8.54 9.49
503 ,684 ,894 1.13 1 40
5.5 6.0 6.5 7.0 7.5
5.81 6.34 6.86 7.39 7.92
,524 ,624 ,732 849 975
30.9 36.4 42.4 48.8 55.6
7.54 8 23 8 91 9.60 10.3
.88 1.05 1.23 1.43 1.6
59.9 70.7 82.4 95.0 109
10.44 11.38 12.33 13 28 1423
8.0 8.5 9.0 9.5 10
8.45 8.98 9.50 10.03 10 56
1 109 1 25 1 40 1.56 1 73
63.0 70.7 78.9 87.6 96.6
11.0 11.6 12.3 13.0 13.7
1.9 21 24 2.6 2.9
123 138 154 171 189
.
Flow
US gal per mln
0.423 inside dia
0.493" inside dia Velocity ft per sec
Velocity hkad-ft
Head loss ft per 100 ft
Velocity ft per sec
Velocity head-ft
Head loss ft per l 0 O A
Calculations on pages 3-12 to 3-34 are by Ingersoll-Rand Co Note No allowance has been made for age, dlfference In dlarneter, or any abnormal c o n d ~ t ~ oofn Interlor surface Any factor of safety must be est~matedfrom the local condltlons and the requirements of each particular lnstallat~on It 1s recommended that for most cornmerclal des~gnpurposes a safety factor of 15 to 20% be added to the values in the tables-see page 3-5
Flow US gal per m~n
Velocity ft per sec
Velocity head ft
Veloc~ty ft per sec 1.11 1.48 1.86 2.23 2.60
1.68 5.73 12.0 20.3 30.8 43.5 58.2 75.0 94.0 115 138 163 190 220
1.69 2.01 2.36 2.74 314
lnch
Extra strong steel-sch
80
Steel-schedule
Veloc~ty head ft
160
,612'inslde dla
,742"inslde d ~ a
Head loss n per 100 R
Head loss ft per 100 n
Velocity head ft
0.74 1.86 2.82 4.73 7.10
,824"inslde d ~ a
80
Veloclty ft per sec
,008 017 ,039 069 108
Standard wt steel-s~h 40
Extra strong steel-sch
Veloc~ty head ft
0.739 1.056 1.58 2.11 2.64
% lnch 40
464"lnside dia
Head loss f l per 100 n
0.7 1.0 1.5 2.0 2.5
Y4
Standard wt steel-sch
Schedule 160
80
546"lnslde d ~ a
Head loss flper 100 n
Veloclty ft per sec
Velocity head fl
Head loss n per
loon
1.19 1.99 2.97 4.14 5.48
1.64 2.18 2.73 3 27 3.82
042 074 115 166 226
3.05 5.12 7.70 10.8 14.3
295 374 462 .665 ,905
18.4 22.9 28.0 39.5 53.0
1.5 2.0 2.5 3.0 3.5
0.90 1.20 1.50 1.81 2.11
013 023 .035 ,051 ,069
0.72 1.19 1.78 2.47 3.26
4.0 4.5 5.0 6
7
2 41 271 3.01 3 61 4.21
,090 ,114 ,141 ,203 ,276
4.16 5.17 6.28 8.80 11.7
2.97 3 34 3.71 4 45 5 20
.I4 .17 ' 2 1 .31 .42
7.01 6.72 10.6 14.9 19.9
4.36 4.91 5.45 6.54 7.64
8 9 10 11 12
4.81 5.42 6.02 6 62 7 22
360 456 563 681 722
15.1 18.8 23.0 27.6 32.5
5.94 6 68 7 42 8 17 8 91
55 69 86 1 04 1.23
25.6 32.1 39.2 47.0 55.5
8 73 9.82 10.91 12.00 13.09
1 18 1 50 185 2 23 2.66
68.4 85.8 105 126 149
13 14 16 18 20
7.82 8.42 9.63 10.8 12.0
,951 1 103 1.44 1.82 2.25
37.9 43.7 56.4 70.8 86.8
9.63 10.4 11.9 13.4 14.8
1.44 17 22 2.8 3.4
64.8 74.7 96.7 121 149
14 18 15.27 17.45
3.13 3.62 473
175 202 261
02 03 .05 .08 .ll
Note- No allowance has been made for age, dlfference In d~ameter,or any abnormal cond~tionof interior surface. Any factor of safety must be est~matedfrom the local conditions and the requirements of each part~cularinstallation It Is recommended that for most commercial des~gnpurposes a Safety factor of 15 to 20% be added to the values In the tables-see page 3-5.
CAMERON HYDRAULIC DATA
INGERSOLLRAND
Friction of Water
New Steel Pipe (Continued)
Friction of Water
1YZ lnch
1 lnch Standard wt steel-sch
40
Extra strong steel-sch
1 049"lnslde dla Flow US gal per mln
Veloclty ft per sec
Velocity head ft
2 3 4 5 6
0 74 111 1 48 1 86 2 23
009 019 034 ,054 077
8 10 12 14 16
2 97 371 4 45 5.20 594
,137 ,214 ,308 ,420 548
18 20 22 24 26
668 7 42 8 17 891 9.65
694 857 1 036 1.23 1.45
28 30 35 40 45
10 39 111 13 0 14.8 16 7
1 68 193 2 62 3 43 4.33
80
,385 ,787 1.270 1.90 2.65
Veloclty flper sec
.O1 03 05 .08 .ll
3 57 4 46 5 36 6 25 7 14
.20 31 45 .61 .79
20.6 25.2 30.3 35.8 41.7
8.03 8.92 9.82 10.7 11.6
1 00 124 1 50 1.8 2.1
48.1 55.0 74.1 96.1 121 ;
12.5 13.4 15.6 17.9 20 1
2.4 2.8 3.8 50 6.3
4.50 6.81 9.58 12.8 16.5
Head loss fl per 100 fl ,599 1.19 1.99 2.99 4.17
Veloc~ty 11 per sec
Head loss tt per 10011
Velocity head ft
1 23 185 2 46 3 08 3 69
023 053 094 147 211
7.11 10.8 15.2 20.4 26.3
4.92 6.15 7.38 8.61 9.84
376 ,587 845 1 15 1 50
32.9 40.3 48.4 57.2 66.8
11 07 12 30 13.53 14 76 1599
1.26 2.60 4.40 6.63 9.30 15.9 24.3 34.4 46.2 59.7
1.90 2.35 2.84 3.38 3.97
74.9 91.8 110 131 153
77.1 88.2 119 154 194
1% lnch Standard wt steel-sch Flow US gal per mln
40
Extra strong steel-sch
1.380'1nsdedla
80
Schedule 160-steel
1 278" i n s ~ d ed ~ a
1 160"inslde dia
Veloc~ty head ft
Head loss tt per 100R
.858 1073 1 29 1 50 1 72
.Oil 018 .026 .035 ,046
.35 .52 .72 / .95 1.20
1.00 1 25 1 50 1 75 2 00
015 024 034 048 062
.51 .75 1.04 1.33 1.69
1.21 1 52 1 82 213 2 43
023 .036 .051 070 092
10 12 14 16 18
215 257 300 3.43 386
072 103 140 183 232
1.74 2.45 3.24 4.15 5.17
2 50 3.00 3.50 4.00 4.50
097 140 190 249 315
2.55 3.57 4.75 6.10 7.61
3 04 3 64 4.25 4 86 5 46
143 ,206 280 366 463
20 25 30 35 40
4 29 5 36 6.44 7.51 8 58
286 431 644 876 1 14
6.31 9.61 13.6 18.2 23.5
5 00 6 25 7 50 8 75 10.0
388 607 874 1 19 1 55
9.28 14.2 20.1 27.0 34.9
6 07 7 59 9.11 10.63 12.14
572 894 1 29 1 75 2 29
125 150 17.5 20 0 22 5
243 350 4 76 6.21 786
4 5 6 7 8
50 60 70 80 90
Veloclty ft per sec
107 129 15.0 17.2 193
179 257 3.50 453 5.79
36.2 51.5 69.5 90.2 114
Veloclty ft per sec
Veloc~ty head It
Head loss R per 100 ll
53.7 76.5 103 134 168
Veloc~ty ft per sec
15.18 1822 2125 24 29 27.32
Veloclty head ft
358 515 701 9 16 11 59
Head loss ll per 100
n
,806 1.20 1.61 2.1 4 2.73 4.12 5.78 7.72 9.92 12.4 15.1 23.2 32.9 44.2 57.3 88.3 126 170 221 279
Note No allowance has been made for age dlfference ~n d~ameter,or any abnormal c o n d ~ t ~ oofn Interlor surface Any factor of safety must be estlmated from the local cond~tlonsand the requlrements of each particular lnstallatlon It IS recommended that for most commercial desdgn purposes a safety factor of 15 to 20% be added to the values In the tables-see page 3-5
3-14
40
Extra strong steel-sch
Flow US gal per rn~n
Velocity tt per sec
Veloclty head ft
80
Schedule 160-steel 1.338" lnside dla
1.500"1ns1dedla
1.610"lnslde dla
,815"lnslde dla
Veloc~ty head ft
89 1 34 1 79 2 23 2 68
Standard wt steel-sch
Schedule 160 steel
957"lnslde dla Head loss ll per 100 fl
New Steel Pipe (Continued)
(Based on Darcy's Formula)
(Based on Darcy's Formula)
Head loss ll per 100
n
Veloclty flper sec
Velocity head ft
Head loes I t per roo
n
Velocity I t per sec
Velocity head tt
Heed Ions ti per 100 1
4 5 6 7 8
63 .79 .95 1.10 1.26
006 010 ,014 019 025
,166 ,246 .340 ,447 ,567
33 .91 1.09 1 27 1.45
.01 01 02 03 03
,233 ,346 ,478 .630 .800
,913 1.14 1.37 1.60 1.83
.013 ,020 ,029 ,040 ,052
.404 ,601 ,832 1.10 1.35
9 10 12 14 16
1 42 1.58 1.89 2.21 2.52
,031 ,039 ,056 076 ,099
,701 ,848 1.18 1.51 1.93
1.63 1.82 2.18 2.54 2.90
.04 .05 .07 .I0 .13
,990 1.20 1.61 2.14 2.74
2 05 2 28 2.74 3.20 3 65
065 081 116 .I58 207
1.67 2.03 2.84 3.78 4.85
18 20 22 24 26
2.84 3.15 3.47 3.78 4.10
,125 ,154 .I87 .222 ,261
2.40 2.92 3.48 4.10 4.76
3 27 3.63 3.99 4.36 4.72
17 20 25 .30 .35
3.41 4.15 4.96 5.84 6.80
4.1 1 4.56 5.02 5.48 5.93
,262 ,323 391 ,465 ,546
6.04 7.36 8.81 10.4 12.1
26 30 32 34 36
4.41 4.73 5.04 5.36 5.67
,303 ,347 ,395 ,446 .500
5.47 6.23 7.04 7.90 8.80
5.08 5.45 5.81 6.17 6.54
.40 .46 .52 .59 66
7.82 8.91 10.1 11.3 12.6
6.39 6.85 7.30 7.76 8.22
,634 727 ,828 ,934 1.05
13.9 15.9 18.0 20.2 22.5
38 40 42 44 46
5.99 6.30 6.62 6.93 7.25
577 .618 681 ,747 ,817
9.76 10.8 11.8 12.9 14.0
6 90 7 26 7.99 63 8.35
74 82 .SO .99 1.08
14.0 15.4 16.9 18.5 20.1
8.67 9.13 9.58 10.04 10.50
1 17 1.29 1.43 1.57 1.71
25.0 27.6 30.3 33.1 36.1
48 50 55 60 65
7.56 7.88 8.67 9.46 10.24
,889 965 1.17 1.39 1.63
15.2 16.5 19.8 23.4 27.3
8.72 9.08 9.99 10.9 11.8
1.18 1.28 1.55 1.8 2.2
21.8 23.6 28.4 33.6 39.2
10.95 11.41 12.55 13.69 14.83
1.86 2.02 2.45 2.91 3.41
39.2 42.4 51.0 60.4 70.6
70 75 80 85 90
11.03 11.8 12.6 13.4 14.2
1.89 217 2.47 2 79 3.13
31.5 36.0 40.8 45.9 51.3
12.7 136 14.5 15.4 16.3
2.5 29 3.3 3.7 4.1
45.3 51.8 58.7 66.0 73.8
15.97 17.11 18.25 19.40 20.54
3 96 4 55 5.17 5 84 6.55
81.5 93.2 106 119 133
95 1M) 110 120 130
15.0 15.8 17.3 18.9 20 5
3 48 3.86 4 67 5 56 6.52
57.0 63.0 75.8 89.9 105
17.2 18 2 20.0 21.8 23.6
46 5.1 6.2 74 87
82.0 90.7 109.3 129.6 151.6
21.68 22.82 25.10 27.38 2966
7.29 8.08 9.78 11.6 13.7
148 164 197 234 274
140 150 160 170 180
22.1 23.6 25.2 268 284
7.56 8.68 9.88 11.15 1250
122 139 158 178 199
25.4 27.2 29.0 309 327
10.0 11.5 13.1 148 16.6
175 201 228 257 288
Note No allowance has been made for age dlfference In d~ameter or any abnorrnal c o n d ~ t ~ oOfn lnterlor surface Any factor of safety must be estlmated from the local condlt~onsand the requlrements of each parllcular lnstallat~on It IS recommended that for most commerc~ald e s ~ g npurposes a safety factor of 15 to 2090 be added to the values In the tables-see page 3-5
INGERS0LLQ;IAND CAMERON HYDRAULIC DATA Friction of Water
1
New Steel Pipe (Continued)
(Based on Darcy's Formula)
2 lnch Standard wt Steel-sch
40
Veloclty head ft
80
Schedule 160-steel
1.939'1nsldedla
Head loss R per
Veloc~ty 11 per sec
loon
Veloclty head
ft
1.687 lns~ded ~ a Head loss fi per 100 ft
Veloc~ty ft per sec
Veloc~ty head ft
Head loss fiper
100 ft
5 6 7 8 9
478 574 .669 765 .860
004 005 007 009 012
,074 ,102 ,134 -170 ,209
54 65 76 87 98
00 01 01 01 01
.I01 .I39 .I82 .231 .285
718 861 101 1 15 1 29
006 01 2 016 020 026
,197 ,271 ,357 ,452 ,559
10 12 14 16 18
.956 115 134 1.53 172
014 021 028 036 046
.252 ,349 461 ,586 ,725
1.09 1.30 1.52 1.74 1.96
02 03 .04 05 06
343 .476 .629 .800 ,991
1 44 1.72 2 01 2.30 2.58
032 .046 ,063 .062 .I04
,675 ,938 1.20 1.53 1.90
20 22 24 28 28
1.91 210 2.29 2.49 2.68
,057 069 082 096 111
,878 1.05 1.18 1.37 1.57
2 17 2 39 2 61 2 83 3.04
07 .09 .I1 .12 14
1.16 1.38 1.62 1.88 2.16
2 87 3 16 3.45 3.73 4.02
128 ,155 ,184 216 ,251
2.31 2.76 3.25 3.77 4.33
30 35 40 45 50
2 87 3 35 3.82 4 30 4.78
128 174 227 288 355
1.82 2.38 3.06 3.82 4.66
3.26 3.80 4 35 4 89 5 43
.17 .22 29 37 48
2.46 3.28 4.21 5.26 6.42
4.31 5.02 5.74 6.46 7.18
288 392 512 648 799
4.93 6.59 8.49 10.6 13.0
55 60 65 70 75
5 26 5 74 6.21 6.69 7.17
430 511 800 696 799
5.58 6.58 7.66 8.82 10.1
598 6 52 7.06 7 61 8 15
56 .66 77 90 1 03
7.70 9.09 10.59 12.2 13.9
7.89 8.61 9.33 10.05 10 77
.967 1.15 135 1.57 180
15.6 18.4 21.5 24.8 28.3
80 85 90' 95 100
7 65 8.13 8.60 9.08 9.56
909 1 03 1 15 1 28 1.42
11.4 12.8 14.3 15.9 17.5
8.69 9.03 9 78 10 3 10 9
1.17 1.27 1.49 16 1 8
15.8 17.7 19.8 22.0 24.3
11.48 12 20 12.92 13.64 14.35
2 05 2 31 2 59 2 89 3.20
32.1 36.1 40.3 44.8 49.5
110 120 130 140 150
10.52 11.5 12.4 13.4 143
172 2.05 2 40 2 78 3.20
21.0 24.9 29.1 33.6 38.4
12.0 13.0 14.1 15.2 16.3
2.2 2.6 3.1 36 4.1
29.2 34.5 40.3 46.6 53.3
15.79 17.22 18 66 20.10 21 53
3.87 4.61 5 40 6.27 7.20
59.6 70.6 82.6 95.5 109
160 170 180 190 200
153 16.3 172 182 19.1
364 411 4 60 5 13 5.68
43.5 49.0 54.8 60.9 67.3
17 4 18 5 19 6 20 6 21 7
47 53 60 6.6 73
60.5 68.1 76.1 84.6 93.6
22.97 24.40 2584 27 27 28 71
8.19 9 24 1036 11 54 12.79
220 240 260 280 300
21.0 22 9 24.9 26.8 287
688 8 18 960 1 1 14 128
81.1 96.2 113 130 149
239 26 9 283 304 326
89 10.6 124 144 165
j
New Steel Pipe (Continued)
(Based on Darcy's Formula)
2% lnch
Extra strong steel-sch
2.067"tns~de d~a Flo~ US Veloclty gal fi per per mln sec
Friction of Water
124 140 156 174 192
113 134 157 181 208
Note No allowance has been made for age, d~fferenceIn dlameter or any abnormal c o n d ~ t ~ oof n ~nter~or Surface Any factor of safety must be estlmated from the local condltlons and the requ~rementsof each partlcular installat~on It IS recommended that for most commercial deslgn purposes a safety factor of 15 to 20% be added to the values In the tables-see page 3-5
n lnterlor Note No allowance has been made for age, dlfference In d~ameter or any abnormal c o n d ~ t ~ oof surface Any factor af safety must be estlmated from the local c o n d ~ t ~ o nand s the requirements of each partlcular Installallon It IS recommended that for most commerc~aldeslgn purposes a safety factor of 15 to 209b be added to the values In the tables-see page 3-5
FRICTION
CAMERON HYDRAULIC DATA Asphalt-dipped Cast lron and New Steel Pipe (Based on Darcy's Formula) (Continued)
Friction of Water
Friction of Water
Asphalt-dipped Cast lron and New Steel Pipe (Based on Darcy's Formula) (Continued) 3% lnch
3 lnch Std wt steel sch 40
Extra strong steel sch 80
3.068" i n s ~ d edla
2 . 9 0 0 inslde dla
Asphalt-d~pped cast ~ r o n ~
3.0" lnside dla Flow US gal per min
Veloclty ft per sec
Velocity head ft
Head loss R per 100 R
Velocity ft per sec
Velocity head ft
Head loss R per 100 R
Veloclty ft per sec
10 15 20 25 30
.454 .681 ,908 1.13 1.36
.OO -01 .01 .02 .03
.042 .088 ,149 -225 .316
,434 ,651 ,868 1.09 1.30
,003 ,007 ,012 .018 .026
.038 .077 .I29 .I92 ,267
.49 .73 .97 1.21 1.45
.OO .O1 .02 .02 .03
35 40 45 50 55
1.59 1.82 2.04 2.27 2.50
.04 .05 .06 .08 .10
.421 .541 .676 .825 .990
1.52 1.74 1.95 2.17 2.39
036 .047 -059 -073 ,089
.353 .449 .557 ,676 .776
1.70 1.94 2.18 2.43 2.67
60 65 70 75 80
2.72 2.95 3.18 3.40 3.63
.12 .14 .16 .18 .21
1.17 1.36 1.57 1.79 2.03
2.60 2.82 3.04 3.25 347
,105 ,124 ,143 .I65 .I87
.912 1.06 1.22 1.38 1.56
85 90 95 100 110
3.86 4.08 4.31 4.54 4.99
.23 .26 .29 .32 .39
2.28 2.55 2.83 3.12 3.75
3.69 3.91 4.12 4.34 4.77
,211 .237 .264 .293 -354
120 130 140 150 160
5.45 5.90 6.35 6.81 7.26
.46 .54 .63 .72 .82
4.45 5.19 6.00 6.87 7.79
5.21 5.64 6.08 6.51 6.94
180 200 220 240 260
8.17 9.08 9.98 10.9 11.8
1.04 1.28 1.55 1.84 2.16
9.81 12.1 14.5 17.3 20.2
7.81 8.68 9.55 10.4 11.3
1
1
1
1
1
Head Vel o c ~ t y loss R per head ft 100 H
2.624 ~ n s l d ed ~ a Head IOSS R per
Velocity ft per sec
Veloclty head ft
.050 .I01 .I69 .253 .351
,593 ,890 1.19 1.48 1.78
,005 ,012 .022 .034 .049
.080 .I64 .275 .411 .572
.04 .06 .07 .09 .ll
.464 .592 .734 360 1.03
2.08 2.37 2.67 2.97 3.26
.067 -087 ,111 ,137 ,165
.757 .933 1.16 1.41 1.69
2.91 3.16 3.40 3.64 3.88
13 .15 .18 .21 .23
1.21 1.40 1.61 1.83 2.07
3.56 3.86 4.15 4.45 4.75
-197 ,231 ,268 ,307 ,350
1.99 2.31 2.65 3.02 3.41
1.75 1.95 2.16 2.37 2.84
4.12 4.37 4.61 4.85 5.33
.26 .29 .33 .36 .44
2.31 2.58 2.86 3.15 3.77
5.04 5.34 5.63 5.93 6.53
,395 .443 ,493 ,546 .661
3.83 4.27 4.73 5.21 6.25
.421 ,495 .574 .659 .749
3.35 3.90 4.50
5.81 6.30 6.79
5.80
7.76
.52 .62 .71 .82 .93
4.45 5.19 5.98 6.82 7.72
7.12 7.71 8.31 8.90 9.49
.787 .923 1.07 1.23 1.40
7.38 8.61 9.92 11.3 12.8
-948 1.17 1.42 1.69 1.98
7.27 8.90 10.7 12.7 14.8
8.72 9.70 10.7 11.6 12.6
1.01 9.68 10.68 11.87 1.46 11.86 1.78 14.26 13.05 14.24 2.07 16.88 2.46 119.71 1 1 5 . 4 3
1.77 2.19 2.64 3.15 3.69
16.1 19.8 23.8 28.2 32.9
5.13.'7.28
1
1
1
Asphalt-dlpped cast iron
Std wt steel sch 40
Extra strong steel sch 80
3.5" inside dia
3.548" inside dia
3.364" i n s ~ d edia
Schedule 160-steel
1
100 tl
1
38.0 43.5 49.4 55.6 62.2
280 300 320 340 360
12.7 13.6 14.5 15.4 16.3
2.51 2.88 3.28 3.70 4.15
23.4 26.8 30.4 34.3 38.4
12.2 13.0 13.9 14.8 15.6
2.29 2.63 3.00 3.38 3.79
17.1 19.5 22.1 24.9 27.8
13.6 14.5 15.5 16.5 17.5
2.88 3.26 3.77 4.22 473
22.77 26.04 29.53 33.24 37.16
16.61 17.80 18.99 20.17 21.36
4.28 4.92 5.59 6.32 7.08
380 400 420 440 460
17.2 18.2 19.1 20.0 20.9
4.62 5.12 5.65 6.20 6.77
42.7 47.3 52.1 57.1 62.4
16.5 17.4 18.2 19.1 20.0
4.23 4.68 5.16 5.67 6.19
30.9 34.2 37.6 41.2 44.9
18.4 19.4 20.4 21.4 22.3
5.27 5.81 6.43 7.13 7.75
41.31 45.67 50.25 55.05 60.06
22.55 23.73 24.92 26.11 27.29
7.89 8.74 9.64 10.58 11.56
69.2 76.5 84.2 92.2 101
480 500 550 600 650
21.8 22.7 25.0 27.2 29.5
7.38 8.00 9.68 11.5 13.5
67.9 73.6 88.9 106 124
20.8 21.7 23.9 26.0 28.2
6.74 7.32 8.85 10.5 12.4
48.8 52.9 63.8 75.7 88.6
23.3 24.2 26.7 29.1 31.6
8.37 9.15 11.1 13.1 15.5
65.30 70.75 85.33 101 119
28.48 29.66 32.63 35.60 38.56
12.59 13.66 16.53 19.67 23.08
109 119 143 170 199
Note: No allowance has been made for age, difference in diameter, or any abnormal condition of interior surface. Any factor of safety must be estimated from the local conditions and the requirements of each particular installation. It is recommended that for most commercial design purposes a safety factor of 15 to 20% be added to the values in the tables-see page 3-5.
Flow US gal per mln
Velocity ft per sec
Veloclty head ft
15 20 25 30
.500 ,667 ,834 1.000
,004 ,007 ,011 ,016
Head loss R per
100fl
Velocity ft per sec
Velocity head ft
Head loss ft per 100 ft
,043 .070 .lo5 .I46
.487 ,649 ,811 .974
-004 ,007 ,010 .015 -020
.038 ,064 .095 .I32 .I74
.54 72 -90 1.08 1.26
.OO .01 .01 -02 02
.050 -083 1 23 .I71 .225
.026 .033 041 ,059 080
.221 .274 332 .463 -614
1.44 1.63 1.80 2.17 2 53
.03 .04 .05 .07 .lo
.430 .601 .769
.379 .535 .717
1.62 1.95 2.27
Velocity ft per sec
Velocity head ft
Head loss ft per 100 ft
Note: No allowance has been made for age, difference in diameter, or any abnormal condition of interior surface. Any factor of safety must be estimated from the local conditions and the requirements of each particular installation. It is recommended that for most commercial deslgn purposes a safety factor of 15 to 20% be added to the values in the tables-see page 3-5
CAMERON HYDRAULIC DATA Friction of Water
Asphalt-dipped Cast Iron and New Steel Pipe
Friction of Water ' ~ e wSteel Pipe (Continued)
(Based on Darcy's Formula)
5 lnch
Asphalt-dipped cast iron
Std wt steel sch 40
Extra strong steel sch 80
Schedule 160-steel
Standard wt steel-sch
4.0" inside dia
4 . 0 2 6 inside dia
3.826" inside dia
3.438" inside dia
5.047" inside dia
Flow US gal per mln
Velocity ft per sec
Velocity head ft
Head loss ft per
20 30 40
511 .766 1.02
,004 ,009 -016
.038 .076 128
50 60
(Based on Darcy's Formula)
(Continued)
4 Inch
1 1 I 128 1.53
100 ft
:W::
Velocity head ft
Head loss ft per
,504 .756 1.01 1.26 1.51 1
,004 ,009 016 :025 ,036
.035 .072 .I20
Ve locity ft per sec
1
]
100 ft
Velocity f t per sec
Ve locity head ft
.56 .84 1.12 1.40 1.67
.OO .01 02
.06
Head loss f t per
10Oft .W5 .092 153
Ve locity ft per sec
.691 1.04 1.38
Velocity head ft
Head loss ft per
.007 ,017 030
.074 .I54 .258
100ft
40
Extra strong steel-sch
80
Schedule 160-steel
4 . 3 1 3 inside dia
4 . 8 1 3 inside dia
Flow US gal per mln
Velocity ft per sec
Velocity head ft
.481 .641 ,802 .962 1.12
-004 ,006 ,010 ,014 ,020
.024 .040 .060 .083 .I10
53 .71 . -88 1.06 1.23
.OO .O1 .01 .02 .02
Head loss R per
l00ft
Velocity ft per sec
Velocity head ft
Head loss ft per
Velocity ft per sec
Velocity head ft
.030 .051 .075 .lo5 .I38
,659 ,878 1.10 1.32 1.54
,007 ,012 ,019 ,027 ,037
100 ft
Head loss
fl per 100 tt .051 .OW .I28
.540 387
30 40 50 60 70
2.42 2.77 3.11 3.46 3.80
,091 ,119 ,150 ,185 ,224
.691 385 1.10 1.34 1.61
80 90 100 120 140
1.28 1.44 1.60 1.92 2.25
,026 ,032 .040 ,058 .078
.I40 .I73 .210 -293 -389
1.41 1.59 1.76 2.11 2.47
.03 .04 .05 .07 .09
.I76 .218 -265 370 -491
1.76 1.98 2.20 2.64 3.07
,048 ,061 ,075 108 147
1.11 1.29 1.48 1.69 1.91
4.15 4.49 4.84 5.18 5.53
,267 ,313 ,363 ,417 ,475
1.89 2.20 2.53 2.89 3.26
160 180 200 220 240
2.57 2.89 3.21 3.53 3.85
102 ,129 160 193 ,230
.480 .598 .728 .870 1.03
2.82 3.17 3.52 3.88 4.23
.12 -16 .19 .23 .28
.607 .757 .922 1.10 1.30
3.51 3.95 4.39 4.83 5.27
192 .243 -299 .362 .431
1.05 1.31 1.60 1.91 2.25
5.88 6.22 6.57 6.91 7.60
,536 .601 .669 .742 ,897
3.66 4.09 4.53 5.00 6.00
260 280 300 320 340
4.17 4.49 4.81 5.13 5.45
,270 -313 .360 .409 .462
1.19 1.37 1.56 1.77 1.98
4.58 4.94 5.29 5.64 5.99
.33
.48 .59
2.14 2.38 2.64 2.91 3.49
.56
1.51 1.74 1.99 2.25 2.52
5.71 6.15 6.59 7.03 7.47
.506 .587 -674 -766 .865
2.63 3.02 3.45 3.91 4.39
6.70 7.26 7.82 8.38 8.94
-70 .82 -95 1.09 1.24
4.13 4.81 5.54 6.33 7.17
8.30 8.99 9.68 10.37 11.06
1.90
12.4
360 380 400 420 440
5.77 6.09 6.41 6.74 7.06
,518 .577 .639 ,705 ,774
2.21 2.45 2.71 2.97 3.25
6.35 6.70 7.05 7.40 7.76
-63 .70 .77 .85 .94
2.81 3.12 3.44 3.78 4.13
7.91 8.35 8.78 9.22 9.66
.970 1.08 1.20 1.32 1.45
4.90 5.43 6.00 6.59 7.21
6.22 6.94 7.71 8.51 9.35
9.50 10.0 10.6 11.2 11.7
1.40 1.6 1.7 1.9 2.1
8.06 9.00 9.99 11.0 12.1
11.75 12.44 13.13 13.82 14.52
2.14 2.40 2.68 2.97 3.27
13.9 15.5 17.3 19.1 21.0
460 480 500 550 600
7.38 7.70 8.02 8.82 9.62
,846 ,921 ,999 1.21 1.44
3.54 3.84 4.15 4.99 5.90
8.11 8.46 8.82 9.70 10.6
1.02 1.11 1.21 1.46 1.7
4.50 4.88 5.28 6.35 7.51
10.10 10.54 10.98 12.08 13.18
1.58 1.73 1.87 2.26 2.70
7.85 8.53 9.23 11.1 13.1
1.91 2.09 2.27 2.47 2.99
10.2 11.2 12.1 13.1 15.8
12.3 12.8 13.4 14.0 15.3
2.3 2.5 2.8 3.0 3.6
13.3 14.5 15.7 17.0 20.5
15.21 15.90 16.59 17.28 19.00
3.59 3.92 4.27 4.64 5.61
22.9 25.0 27.2 29.5 35.5
650 700 750 800 850
10.4 11.2 12.0 12.8 13.6
1.69 1.96 2.25 2.56 2.89
6.89 7.95 9.09 10.3 11.6
11.5 12.3 13.2 14.1 15.0
2.1 2.4 2.7 3.1 3.5
8.77 10.1 11.6 13.1 14.8
14.27 15.37 16.47 17.57 18.67
3.16 3.67 4.21 4.79 5.41
15.4 17.8 20.3 23.0 25.9
15.1 16.4 17.6 18.9 20.2
3.55 4.17 4.84 5.55 6.32
18.7 21.7 25.3 28.9 32.8
16.7 18.1 19.5 20.9 22.3
4.3 5.1 5.9 6.8 7.7
24.3 28.4 32.8 37.6 42.7
20.74 22.46 24.19 25.92 27.65
6.67 7.83 9.08 10.4 11.7
42.1 49.2 57.0 65.2 74.1
900 950 1000 1100 1200
14.4 15.2 16.0 17.6 19.2
3.24 3.61 4.00 4.84 5.76
13.0 14.4 15.9 19.2 22.7
15.9 16.7 17.6 19.4 21.1
3.9 4.3 4.8 5.8 6.9
16.5 18.4 20.3 24.5 29.0
19.76 20.86 21.96 24.16 26.35
6.06 6.76 7.49 9.06 10.78
29.0 32.3 36.7 43.0 51.0
21.4 22.7 2?.9 25.2 27.7
7.13 8.00 8.91 9.87 11.9
37.0 41.4 46.0 50.9 61.4
23.7 25.1 26.5 27.9 30.7
8.7 9.8 10.9 12.1 146
48.1 53.8 59.8 66.2 79.8
29.38 31.10 32.83 34.56 38.02
13.4 15.0 16.7 18.5 22.4
83.4 93.4 104 115 139
1300 1400 1500 1600 1700
20.8 22.5 24.1 25.7 27.3
6.75 7.83 8.99 10.2 11.6
26.6 30.7 35.2 40.0 45.1
22.9 24.7 26.4 28.2 30.0
8.2 9.5 10.8 12.4 14.0
34.0 39.3 45.0 51.1 57.6
28.55 30.74 32.94 35.14 37.33
12.65 14.67 16.84 19.16 21.63
59.8 69.2 79.2 90.0 101
1
I 1 1 :I; :1 1 1 1::: 1 :lVi
70 80 90 100 110
1.79 2.04 2.30 2.55 2.81
,050 ,065 -082 .I01 .I23
365 .470 .588 .719 .862
1.76 2.02 2.27 2.52 2.77
,048 ,063 ,080 ,099 ,119
-330 -422 .523 .613 .732
1.95 2.23 2.51 2.79 3.07
120 130 140 150 160
3.06 3.32 3.57 3.83 4.08
-146 ,171 .I99 ,228 ,259
1.02 1.19 1.37 1.57 1.77
3.02 3.28 3.53 3.78 4.03
,142 ,167 ,193 -222 ,253
.861 1.00 1.15 1.31 1.48
170 180 190 200 220
4.34 4.60 4.85 5.11 5.62
,293 ,328 ,368 ,406 .490
1.99 2.23 2.47 2.73 3.29
4.28 4.54 4.79 5.04 5.54
.285 ,320 ,356 ,395 ,478
240 260 280 300 320
6.13 6.64 7.15 7.66 8.17
,583 ,685 ,794 .912 1.04
3.90 4.55 5.26 6.02 6.84
6.05 6.55 7.06 7.56 8.06
340 360 380 400 420
8.68 9.19 9.70 10.2 10.7
1.17 1.31 1.46 1.62 1.79
7.70 8.61 9.58 10.6 11.6
440 460 480 500 550
11.2 11.7 12.3 12.8 14.0
1.96 2.14 2.33 2.53 3.06
600 650 700 750 800
15.3 16.6 17.9 191 20.4
850 900 950 1000 1100
21.7 23.0 24.3 25.5 28.1
2.07 1.73
.08 .10 .12 .15
.424 .541 .649 .789 .943
3.35 3.63 3.91 4.19 4.47
.17 .20 .24 .27 .31
1.66 1.85 2.05 2.25 2.70
4.75 5.02 5.30 5.58 6.14
.35 .39
,569 ,667 ,774 ,888 1.01
3.19 3.72 4.28 4.89 5.53
8.57 9.07 9.58 10.1 10.6
1.14 1.28 1.43 1.58 1.74
12.8 13.9 15.2 16.4 19.8
11.1 11.6 12.1 12.6 13.9
3.65 4.28 4.96 5.70 6.48
23.6 27.6 32.0 36.6 41.6
7.32 8.20 9.14 10.1 12.3
46.9 52.6 58.5 64.8 78.3
.44
N o t e No allowance has been made for age, difference In diameter, or any abnormal condition of interior surface. Any factor of safety must be estimated from the local conditions and the requirements of each particular installation. It is recommended that for most commercial design purposes a safety factor of 15 to 20% be added to the values in the tables-see page 3-5.
-38 .43 .49
:::: 301 373 .453 .612 .816
' Cast iron not commercially available in this size.
Note: No allowance has been made for age, difference in diameter, or any abnormal condition of interior surface. Any factor of safety must be estimated from the local conditions and the requirements of each particular installation It is recommended that for most commercial design purposes a safety factor of 15 to 20% be added to the values in the tables-see page 3-5.
1
FRICTION
CAMERON HYDRAULIC DATA Friction of Water
Asphalt-dipped Cast lron and New Steel Pipe (Based on Darcy's Formula) (Continued)
Friction of Water
Asphalt-dipped Cast lron and New Steel Pipe (Based on Darcy's Formula) (Continued)
6 lnch
8 lnch
Asphalt-dipped cast lron
Std wt steel sch 40
Extra strong steel sch 80
Schedule 160-steel
6 . 0 inside dia
6.065" inside dia
5.761" inside dia
5 . 1 8 7 inside dia
A
Std wt steel sch 40
Extra strong steel sch 80
7.981" Inside dla
7 . 6 2 5 insld dla
#halt-dipped zast iron
8 " inside dia
ule 160-steel
6.8 3 inside dia
Flow US gal per mln
Velocity ft per sec
Veloclty head ft
Head loss tt per 100 ft
Velocity ft per sec
Velocity head ft
Head loss ft per 100 ft
Velocity ft per sec
Velocity head ft
Head loss ft per 100 ft
Velocity ft per sec
Velocity head ft
Head loss fl per 100 ft
Flow US gal per mln
locity ft per sec
Veloclty head ft
Head loss ft per 100 ft
Velocity ft per sec
Velocity head ft
Head loss tt per 100 tt
50 60 70 80 90
.57 .68 .79 .91 1.02
.005 .007 -010 ,013 ,016
.027 .038 ,048 .062 .077
.56 .67 .78 .89 1.00
.005 ,007 ,009 ,012 ,016
.025 .034 .045 .057 .071
.62 .74 .86 .98 1.11
.01 .01 .01 .01 .02
.032 .044 .058 .074 .091
,759 ,911 1.06 1.22 1.37
,009 ,013 ,018 ,023 ,029
.053 .073 ,096 .I23 .I52
130 140 150 160 170
.83 .89 .96 1.02 1.00
,011 ,012 ,014 .016 ,018
.037 .042 .048 .054 .060
.83 .90 .96 1.03 1.09
.Oll ,013 ,014 .016 ,018
.036 .042 .047 .053 .059
.020 .024 ,027 ,031 ,035
.079 .OW .lo2 .I15 .I28
100 120 140 160 180
1.13 1.36 1.59 1.82 2.04
.020 ,029 ,039 ,051 ,065
.094 .I32 .I76 .226 .283
1.11 1.33 1.55 1.78 2.00
,019 ,028 .038 -049 .062
.086 .I20 .I58 .202 .251
1.23 1.48 1.72 1.97 2.22
.02 .03 .05 .06 .08
.I10 .I54 ,203 .260 .323
1.52 1.82 2.13 2.43 2.73
,036 ,052 .070 ,092 .I16
.I84 .256 .340 .435 .522
180 190 200 220 240
1.15 1.21 1.28 1.40. 1.53
,021 .023 ,025 .031 ,037
.067 -074 .082 -098 .I15
1.15 1.22 1.28 1.41 1.54
.021 .023 .026 ,031 ,037
.066 .073 .080 .095 .I11
,039 ,043 ,048 ,058 ,069
.I42 .I57 .I72 .205 .241
200 220 240 260 280
2.27 2.50 2.72 2.95 3.18
-080 ,097 ,115 .135 -157
-346 .415 .490 .571 .658
2.22 2.44 2.66 2.89 3.11
,077. .093 ,110 ,130 ,150
.304 .363 .411 .477 548
2.46 2.71 2.96 3.20 3.45
09 .ll .14 .16 .19
392 .451 .530 .616 .708
3.04 3.34 3.64 3.95 4.25
.I43 -173 ,206 .242 ,281
-635 .760 395 1.04 1.20
.043 ,050 .057 ,077 ,101
.I34 .I54 .I75 .235 .303
,081. ,094 108 147 192
.279 .320 .350 .467 .601
300 320 340 360 380
3.40 3.63 3.86 4.08 4.31
.I80 ,205 .231 ,259 .289
.752 .851 .957 1.07 1.19
3.33 3.55 3.78 4.00 4.22
.I72 -196 ,222 ,240 ,277
.624 ,705 .790 .880 -975
3.69 3.94 4.19 4.43 4.68
.21 .24 .27 .31 .34
.807 .911 1.02 1.14 1.26
4.56 4.86 5.16 5.47 5.77
,322 .366 ,414 ,464 ,517
1.36 1.54 1.73 1.93 2.14
,128 .I58 ,191 ,228 ,267
.380 .465 .559 .661 .772
400 450 500 550 600
4.54 5.10 5.67 6.24 6.81
.320 -403 .500 ,605, ,720
1.31 1.65 2.02 2.44 2.89
4.44 5.00 5.55 6.11 6.66
,307 ,388 ,479 ,580 ,690
1.07 1.34 1.64 1.97 2.33
4.93 5.54 6.16 6.77 7.39
.38 .48 .59 .71 .85
1.39 1.74 2.13 2.55 3.02
6.07 6.82 7.59 8.35 9.11
,572 ,725 ,894 1.08 1.29
2.36 2.95 3.61 4.34 5.13
.310 ,356 ,405 .457 ,513
.891 1.02 1.16 1.30 1.45
650 700 750 800 850
7.37 7.94 8.51 9.08 9.64
.845 -980 1.12 1.28 1.44
3.38 3.90 4.47 5.07 5.72
7.22 7.77 8.33 8.88 9.44
,810 .939 1.08 1.23 1.38
2.71 3.13 3.57 4.04 4.55
8.00 8.63 9.24 9.85 10.5
.99 1.16 1.33 1.51 1.7
3.52 4.06 4.64 5.25 5.90
9.87 10.63 11.39 12.15 12.91
1.51 1.75 2.01 2.29 2.59
5.99 6.92 7.91 8.96 10.1
,571 ,633 ,766 ,911 1.07
1.61 1.78 2.15 2.55 2.98
900 950 1000 11M) 1200
10.2 10.8 11.3 12.5 13.6
1.62 1.80 2.00 2.42 2.88
6.40 7.11 7.87 9.50 11.3
9.99 10.5 11.1 12.2 13 3
1.55 1.73 1.92 2 32 2 76
5.08 5.64 6.23 7.49 8.87
11.1 11.7 12.3 13.5 14.8
1.9 2.1 2.4 2.8 3.4
6.60 7.33 8.09 9.74 11.5
1367 14 42 15.18 16.71 18.22
2.90 3.23 3.58 4.33 5.15
11.3 12.5 13.8 16.7 19.8
1.24 1.42 1.62 2.05 2.53
3.45 3.95 4.48 5.65 6.96
1300 1400 1500 1600 1700
14.7 15.9 17.0 18.2 19.3
3.38 3.92 4.50 5.12 5.78
13.2 15.3 17.5 19.9 22.4
14.4 15.5 16.7 17.8 18.9
3.24 3.76 4 31 4 91 5.54
10.4 12.0 13.7 15.6 17.5
16.0 17.2 18.5 19.7 20.9
40 4.6 5.3 6.0 6.8
13.5 15.6 17.8 20.3 22.8
19.74 21.26 22.78 24.29 25.81
6.05 7.01 8.05 9.16 10.34
23.1 26.7 30.6 34.7 39.1
3.06 3.65 4.28 4.96 5.70
8.40 9.98 11.7 13.5 15.5
1800 1900 2000 2200 2400
20.4 21.6 22.7 25.0 27.2
6.48 7.22 8.00 968 11.5
25.1 28.0 31.0 37.4 44.5
20.0 21.1 22.2 24.4 26.6
6 21 691 7.67 9.27 11.0
19.6 21.8 24.1 29.1 34.5
22.2 23.4 24.6 271 29.6
7.7 84 9.4 114 13.6
25.5 28.4 31.4 37.9 44.9
27.33 28.85 30.37 33.40 36.44
11.59 12.92 14.31 17.32 20.61
43.8 48.7 53.9 65.0 77.2
7.70 10.1 12.8 15.8 19.1
21.1 27.4 34.7 42.7 51.7
.
Note: No allowance has been made for age, difference in diameter, or any abnormal condition of interior surface. Any factor of safety must be estimated from the local conditions and the requirements of each particular installation. It is recommended that for most commercial design purposes a safety factor of 15 to 20% be added to the values in the tables-see page 3-5.
ve-
Head loss ft per 100 A
V e locity ft per sec
Veloc1ty head ft
Head loss ftper 100 ft
Note: No allowance has been made for age, difference in diameter, or any abnormal condition of interior surface. Any factor of safety must be estimated from the local conditions and the requirements of each Particular installation. It is recommended that for most commercial design purposes a safety factor of 15 to 20% be added to the values in the tables-see page 3-5.
INGERSOLL-RAND CAMERON HYDRAULIC DATA Friction of Water
Asphalt-dipped Cast lron and New Steel Pipe (Based on Darcy's Formula) (Continued)
FRICTION Asphalt-dipped Cast lron and New Steel Pipe
Friction of Water
(Based on Darcy's Formula)
10 lnch
Std wt steel sch 40
Schedule 80 steel
10.0" ~nsldedla
10.020 inslde dia
9 . 5 6 2 lnslde dla
Flow US gal per min
Ve loclty ft per sec
Veloclty head ft
Head loss ft per 100 ft
Veloclty ft per sec
180 200 220 240 260
74 .82 .90 .98 1.06
,008 010 .013 01 5 .018
.023 .028 .032 .038 .044
Schedule 160-steel
Head loss ft per 100 ft
Veloclty ft per sec
Ve locity head ft
Head loss ft per 100 ft
Velocity ft per sec
Ve loclty head ft
Head loss f t per 100 R
.73 .81 .90 98 1.06
008 ,010 013 01 5 017
.022 ,026 ,031 ,037 .042
304 ,894 ,983 1.07 1.16
,010 ,012 ,015 .018 ,021
,027 .033 .039 .046 .053
1.02 1.13 1.24 1.36 1.47
,016 ,020 024 ,029 ,034
.048 .059 .070 .082 .094
1 14 1 22 1.42 1.63 1.83
,020 023 -032 ,041 .052
.049 .055 .073 ,093 ,116
1.25 1.34 1-56 1.79 2.01
,024 ,028 ,038 ,050 ,063
.061 .069 .092 .I17 ,145
1.58 1.70 1.98 2.26 2.54
,039 ,045 ,061 ,079 ,100
.I08 .I23 .I63 .208 .259
280 300 350 400 450
1.14 1.23 1.43 1.63 1.84
,020 ,023 ,032 ,042 ,053
.051 .057 .077 .099 .I23
500 550 600 650 700
2.04 2.25 2.45 2.66 2.86
,065 ,079 .093 ,110 -127
.I50 .I80 .213 .248 .286
2.03 2.24 2.44 2.64 2.85
.064 ,078 ,093 .la9 126
.I40 ,167 .I97 .228 .253
234 2.46 2.68 2.90 3.13
,077 ,094 ,112 ,131 .I52
.I77 .211 .239 .277 .319
2.83 3.11 3.39 3.68 3.96
,124 -150 -179 .210 ,243
304 .364 .428 .498 .573
800 900 1000 1100 1200
3.27 3.68 4.09 4.49 4.90
-166 .210 .259 ,314 373
370 .464 .569 .685 .811
3.25 3.66 4.07 4.48 4.88
,165 -208 .257 -311 .370
.325 .405 .494 ,592 .699
3.57 4.02 4.47 4.92 5.36
.I98 .251 -310 ,375 .446
.410 .512 .625 ,749 ,884
4.52 5.09 5.65 6.22 6.79
.318 .402 ,496 ,600 ,714
7.38 9.23 1.13 1.35 1.60
1300 1400 1500 1600 1700
5.31 5.72 6.13 6.54 ,6.94
,438 .508 ,584 ,664 .749
,947 1.25 1.42 1.60
5.29 5.70 6.10 6.51 6.92
,435 ,504 ,579 ,659 .743
.814 .938 1.07 1.21 1.36
5.81 6.26 6.70 7.15 760
,524 607 ,697 .793 ,895
1.03 1.19 1.35 1.53 1.72
7.35 7.92 8.48 9.05 9.61
-839 .972 1.12 1.27 1.43
1.86 2.15 2.46 2.78 3.13
1800 1900 2000 2200 2400
7.35 7.76 8.17 8.99 9.80
,840 .936 1.04 1.26 1.49
1.79 1.99 2.20 2.65 3.15
7.32 773 8.14 8.95 9.76
834 ,929 1.03 1.,25 1.48
1.52 1.68 1.86 2.24 2.64
8.04 8.49 8.94 9.83 10.72
1.00 1.12 1.24 1.50 1.79
1.92 2.13 2.36 2.83 3.35
10.18 10.74 11.31 12.44 13.57
1.61 1.79 1.99 2.40 2.86
3.49 3.88 4.29 5.16 6.11
2600 2800 3000 3200 3400
10.6 114 12 3 13 1 13.9
1.75 2.03 2.33 2.66 3.00
3.68 4.26 4.88 5.54 6.25
10.6 11.4 12.2 13.0 13.8
1.74 2.02 2.32 2.63 2.97
3.09 3.57 4.08 4.62 5.20
11.62 12.51 13.40 14.30 15.19
2.09 2.43 2.79 3.17 3.58
3.92 4.52 5.17 5.87 6.60
14.70 15.83 16.96 18.09 19.22
3.35 3.89 4.47 5.08 5.74
7.14 8.25 9.44 10.7 12.1
3600 3800 4000 4500 5000
14.7 15.5 16.3 18.4 20.4
3.36 3.74 4.15 5.25 6.48
6.99 7.79 8.62 10.9 13.4
14.6 15.5 16.3 18.3 20.3
3.33 3.71 4.12 5.21 6 43
5.81 6.46 7.14 8.99 11.1
16.08 16.98 17.87 20.11 22.34
4.02 4.47 4.96 6.27 7.75
7.38 8.21 9.07 11.4 14.1
20.35 21.49 22.62 25.44 28.27
6.43 7.17 7.94 10.05 12 40
13.5 15.0 16.6 20.9 25.7
5500 6000 6500 7000 7500
22.5 24.5 26.6 28.6 30.6
7.85 9.34 11.0 12.7 14.6
16.2 19.2 22.6 26.1 30.0
22.4 24.4 26.4 28.5 305
7.78 9.26 10.9 12.6 14.5
13.3 15.8 18.5 21.4 24.5
24.57 26.81 29.04 31.28 33.51
9.37 11.15 13.09 15.18 17.43
17.0 20.1 23.6 27.3 31.2
31.10 33.92 36.75 39.58 42.41
15.01 17.86 20.96 24.31 27.91
31.1 36.9 43.2 50.0 57.3
1.09
Note: No allowance has been made for age, difference in diameter, or any abnormal condition of interior surface. Any factor of safety must be estimated from the local conditions and the requirements of each particular installation. It IS recommended that for most commercial deslgn purposes a safety factor of 15 to 20% be added to the values in the tables-see page 3-5.
Std wt steel sch 40
Schedule 80 steel
Schedule 160 steel
11.938" inside dia
11.374 inside dia
10.126 inside dia
Asphalt-dipped cast iron
8 . 5 0 0 lnslde dia
Velocity head ft
,
(Continued)
12 Inch
Asphalt-dipped cast iron
1 2 . 0 inside dia Flow US gal per mln
Velocity head ft
Head loss R per
100fl
Velocity ft per sec
,006 .010 ,014 ,019 ,025
.014 .021 .030 .039 .050
,797 ,996 1.20 1.39 1.59
,010 ,015 ,022 ,030 ,039
.025 .038 .052 .069 .088
1.42 1.58 1.74 1.90 2.21
,031 ,039 .047 .056 .076
.062 .076 .090 .lo6 .I40
1.79 1.99 2.19 2.39 2.79
,050 ,062 .075 .089 ,121
.I10 .I33 -159 .I87 .240
.I42 .I76 .207 .247 .291
2.53 2.84 3.16 3.47 3.79
,099 ,125 ,155 .I87 .223
.I80 .216 .263 .315 .371
3.19 3.59 3.98 4.38 4.78
,158 ,200 ,246 ,298 .355
.308 .384 .469 .562 .663
,216 ,250 .287 ,327 ,414
.339 .390 .444 .502 .629
4.11 4.42 4.73 5.05 5.68
.262 .303 .348 ,396 ,501
.432 .497 .566 .640 .802
5.18 5.58 5.98 6.37 7.17
,416 ,483 ,554 ,631 ,798
.772 .889 1.02 1.15 1.44
511 .618 .735 ,863 1.00
.769 .923 1.09 1.27 1.47
6.32 6.95 7.58 8.21 8.84
.619 .749 .891 1.05 1.21
.981 1.18 1.39 1.62 1.87
7.97 8.77 9.56 10.36 11.16
.985 1.19 1.42 1.67 1.93
1.76 2.12 2.51 2.93 3.38
8.60 10.0 11.5 12.9 14.3
1.15 1.55 2.04 2.59 3.19
1.68 2.26 2.92 3.68 4.52
9.47 11.05 12.63 14.21 15.79
1.39 1.90 2.48 3.13 3.87
2.14 2.89 3.74 4.71 5.78
11.95 13.94 15.94 17.93 19.92
2.22 3.02 3.94 4.99 6.16
3.86 5.22 6.77 8.52 10.5
6.30 7.48 8.76 10.1 1 .
15.8 17.2 18.6 20.1 21.5
3.86 4.60 5.39 6.26 7.18
5.44 6.45 7.54 8.72 9.98
17.37 18.95 20.53 22.10 23.68
4.68 5.57 6.54 7.58 8.71
6.97 8.26 9.66 11.2 12.8
21.91 23.90 25.90 27.89 29.88
7.45 8.87 10.41 12.07 13.86
12.6 15.0 17.5 20.3 23.3
8.00 9.04 10.1 11.3 12.5
13.2 14.9 16.7 18.6 20.6
22.9 24.4 25.8 27.2 28.7
8.17 9.22 10.3 11.5 12.8
11.3 12.8 14.3 15.9 17.6
25.26 26.84 28.42 30.00 31.58
9.90 11.18 12.54 13.97 15.48
14.5 16.4 18.3 20.4 22.6
31.87 33.86 35.86 37.85 39.84
15.77 17.80 19.95 22.23 24.64
26.4 29.8 33.3 37.1 41.0
15.1 18.0 21.1 24.5 28.1
24.9 29.6 34.7 40.2 46.1
31.5 34.4 37.3 40.1 43.0
15.4 18.3 21.6 25.0 28.7
21.2 25.2 29.5 34.2 39.2
34.73 37.89 41.05 44.21 47.37
18.73 22.29 26.15 30.33 34.82
27.2 32.3 37.9 43.8 50.3
43.82 47.81 51.79 55.78 59.76
29.81 35.47 41.63 48.28 55.43
49.6 58.7 69.0 79.9 91.6
Velocity head ft
Head loss R per
100R
Velocity ft per sec
,005 ,008 ,012 ,016 ,020
.011 .017 .024 .031 .040
,632 ,789 ,947 1.11 1.26
1.29 1.43 1.58 1.72 2.01
.026 .032 ,039 ,046 .063
.049 460 .071 .083 .I11
.I47 .I84 -225 .271 .320
2.29 2.58 2.87 3.15 3.44
,082 ,103 ,128 ,154 ,184
,211 ,245 ,281 .320 .405
.374 .431 .493 .558 .702
3.73 4.01 4.30 4.59 5.16
5.67 6.24 6.81 7.38 7.94
.500 .605 .720 ,845 ,980
.862 1.04 1.23 1.44 1.67
5.73 6.31 6.88 7.45 8.03
3000 3500 4000 4500 5000
8.51 9.93 11.3 12.8 14.2
1.13 1.53 2.00 2.53 3.13
1.91 2.58 3.36 4.24 5.21
5500 6000 6500 7000 7500
15.6 17.0 18.4 19.9 21.3
3.78 4.50 5.28 6.13 7.03
8000 8500 9000 9500 10,000
22.7 24.1 25.5 26.9 28.4
11,000 12,000 13.000 14,000 15,000
31.2 34.0 36.9 39.7 42.6
Velocity ft per sec
Velocity head ft
ft per 100fl
Velocity ft per sec
Velocity head ft
Head loss ft per
200 250 300 350 400
.57 .71 .85 .99 1.13
,005 .008 ,011 .015 .020
.011 .017 .024 .031 .040
.57 .72 .86 1.00 1.15
450 500 550 600 700
1.28 1.42 1.56 1.70 1.99
.025 .031 .038 ,045 .061
.049 .060 .072 .085 -114
800 900 1000 1100 1200
2.27 2.55 2.84 3.12 3.40
.080 .I01 .I25 .I51 ,180
1300 1400 1500 1600 1800
3.69 3.97 4.26 4.54 5.11
2000 2200 2400 2600 2800
Head loss
'
100R
Note: No allowance has been made for age, difference in diameter, or any abnormal condition of interior surface. Any factor of safety must be estimated from the local conditions and the requirements of each particular installation. It is recommended that for most commercial design purposes a safety factor Of 15 to 20% be added to the values in the tables-see page 3-5.
CAMERON HYDRAULIC DATA Friction of Water (Continued)
Friction of Water (Continued) (Based on Darcy's Formula)
(Based on Darcy's Formula)
Asphalt-dipped cast iron and new steel pipe
Asphalt-dipped cast iron and new steel pipe
14 lnch
Flow US gal per mln
Asphalt-dipped cast iron
New steel schedule 40
14.0"lnside dia
13.124"inside dla
Velocity ft per sec
Velocity head ft
Head loss fl per 100 A
18 Inch
16 lnch
Veloclty ft per sec
Veloclty head ft
Head loss tt per 100 ft
Flow US gal per min
Asphalt-dipped cast iron
New steel schedule 40
16.0 inside dia
15.000" inslde dla
Velocity ft per sec
Velocity head ft
Head loss R per 100 fl
Velocity ft per sec
Velocity head ft
Head loss A per 100 fl
Asphalt-dipped cast iron Flow US gal per mln
-
18.0"inside dia
20 Inch Asphalt-dipped cast iron
New steel schedule 40
16.876"inside dia
Velocity ft per sec
Velocity head ft
Head loss ft per 100 R
Velocity ft per sec
Veloclty head ft
tiead loss fl per 100 f l
20.0"inside dia Flow US gal per mln
New steel schedule 40
18.812"inside dia
Veloclty ft per sec
Veloclty head ft
Head loss fl per 100 R
Velocity ft per sec
Velocity head ft
Head loss R per 100 fl
300 400 500 600 700
.625 -834 1.04 1.25 1.46
.006 -011 .017 ,024 ,033
.011 .019 .028 -039 .053
,712 ,949 1.19 1.42 1.66
,008 ,014 ,022 .031 ,043
.015 -025 .038 .052 .070
500 600 700 800 900
,798 .957 1.12 1.28 1.44
,010 .014 -019 ,025 ,032
.015 -020 -027 .035 .043
,908 1.09 1.27 1.45 1.63
,013 ,018 ,025 -033 .041
.020 .027 .036 .046 .058
500 600 700 800 900
,630 ,756 .883 1.01 1.14
,006 .009 -012 ,016 .020
,008 ,012 .016 ,019 .024
.717 ,861 1 .OO 1.1 5 1.29
.008 ,011 ,016 .020 ,026
.011 .015 .020 .026 .032
800 1000 1200 1400 1600
317 1.02 1.23 1.43 1.63
,010 ,016 ,023 .032 ,041
.012 .017 .025 -033 .042
,923 1.15 1.39 1.62 1.85
.013 ,021 ,030 ,041 ,053
.015 .023 .032 .043 ,055
800 900 1000 1100 1200
1.67 1.88 2.08 2.29 2.50
-043 ,055 ,067 ,082 ,097
.068 -085 .lo3 .I24 .I47
1.90 2.14 2.37 2.61 2.85
,056 .089 .071 .I11 .087 .I34 .I06 .I60 ,126 -182
1000 1200 1400 1600 1800
1.60 1.92 2.23 2.55 2.87
,040 ,057 ,077 .I01 ,128
.053 .075 .lo0 .I30 .I62
1.82 2.18 2.54 2.91 3.27
,051 ,074 .lo0 .I31 .I66
.070 .098 .I30 .I61 .201
1000 1200 1400 1600 1800
1.26 1.51 1.77 2.02 2.27
.025 .036 -048 -063 -080
.029 -041 .056 .072 .090
1.43 1.72 2.08 2.96 2.58
,032 ,046 ,063 ,082 ,103
,039 .055 .073 .093 ,116
1800 2000 2400 2800 3200
1.84 2.04 2.45 2.86 3.27
.052 ,065 ,093 ,127 ,166
.053 .065 .091 .I23 .I59
2.08 2.31 2.77 3.23 3.69
,067 ,083 ,119 ,162 ,212
,068 .083 .I12 .I50 .I93
1300 1400 1500 1600 1700
2.71 ,114 2.92 .I32 3.13 .I52 3.34 ,173 3.54 ,195
.I71 .I97 .225 .255 ,286
3.08 3.32 3.56 3.80 4.03
,148 ,171 ,196 ,223 .252
.212 .243 .277 .313 .351
2000 2500 3000 3500 4000
3.19 ,158 3.99 ,247 4.79 ,356 5.59 ,484 6.38 ,632
-199 .306 .436 .589 .764
3.63 4.54 5.45 6.35 7.26
,205 ,320 ,460 ,627 ,819
.245 .374 .530 .712 .920
2000 2500 3000 3500 4000
2.52 3.15 3.78 4.41 5.04
.099 .I54 .222 ,302 ,395
.I10 .I68 .239 .323 .418
2.87 3.59 4.30 5.02 5.74
,128 ,200 ,287 ,391 ,511
.I37 ,208 .294 ,394 SO8
3600 4000 5000 6000 7000
3.68 4.09 5.10 6.13 7.15
,210 ,259 ,405 ,583 ,793
.I99 .245 .377 .539 .728
4.16 4.62 5.77 6.93 8.08
,268 ,331 ,517 ,744 1.01
.241 .295 .452 .641 .862
1800 1900 2000 2500 3000
3.75 3.96 4.17 5.21 6.25
,218 .243 .270 -421 .607
.320 .355 .392 .605 .864
4.27 4.51 4.74 5.93 7.12
,283 ,315 ,349 ,546 ,786
-391 .434 .478 .732 1.04
4500 5000 6000 7000 8000
7 18 ,800 7.98 ,988 9.57 1.42 11.17 1.94 12.77 2.53
.962 1.18 1.69 2.29 2.98
8.17 9.08 10.89 12.71 14.52
1.04 1.28 1.84 2.51 3.27
1.15 1.42 2.01 2.72 3.53
4500 5000 6000 7000 8000
5.67 6.30 7.57 8.83 10.1
,500 ,617 ,888 1.21 1.58
.526 .647 ,924 1.25 1.63
6.46 7.17 8.61 10.0 11.5
.647 .798 1.15 1.57 2.04
.637 -780 1.11 1.49 1.94
8000 8.17 9000 9.19 10,000 10.2 12,000 12.3 14,000 14.3
1.04 1.31 1.62 2.33 3.17
.946 1.19 1.47 2.10 2.85
9.23 10.4 11.5 13.9 16.2
1.32 1.68 2.07 2.98 4.05
1.12 1.40 1.72 2.45 3.32
3500 7.30 4000 8.34 4500 9.38 5000 10.42 6000 12.51
.826 1.08 1.37 1.69 2.43
1.17 1.52 1.91 2.35 3.37
8.30 9.49 10.67 11.86 14.23
1.07 1.40 1.77 2.18 3.14
1.40 1.81 2.27 2.79 3.98
9000 10,000 11,000 12.000 13,000
14.36 15.96 17.55 19.15 20.74
3.20 3.95 4.78 5.69 6.68
3.77 4.64 5.60 6.65 7.98
16.34 18.16 19.97 21.79 23.60
4.14 5.12 6.19 7.37 8.65
4.44 5.45 6.58 7.80 9.13
9000 10.000 12,000 14,000 16,000
11.3 12.6 15.1 17.7 20.2
2.00 2.47 3.55 4.84 6.32
2.05 2.52 3.62 4.91 6.40
12.9 14.3 17.2 20.1 22.9
2.59 3.19 4.60 6.26 8.18
2.43 2.99 4.27 5.77 7.51
15,000 16.000 18,000 20,000 22,000
15.3 16.3 18.4 20.4 22.5
3.64 4.14 5.25 6.48 7.84
3.27 3.71 4.68 5.77 6.97
17.3 18.5 20.8 23.1 25.4
4.65 5.29 6.70 8.27 10.0
3.79 4.31 5.42 6.67 8.05
5.37 6.98 8.79 10.8 13.0
14,000 15.000 16.000 17,000 18.000
22.3 23.9 25.5 27.1 28.7
7.75 8.89 10.1 11.4 12.8
9.03 10.4 11.8 13.3 14.9
25.42 27.23 29.05 30.86 32.68
10.03 11.51 13.10 14.79 16.58
10.6 12.1 13.7 15.5 17.3
18,000 20,000 22,000 24,000 26.000
22.7 25.2 27.7 30.3 32.8
7.99 9.87 11.9 14.2 16.7
8.08 9.96 12.0 14.3 16.8
25.8 28.7 31.6 34.4 37.3
10.3 12.8 15.5 18.4 21.6
9.46 11.6 14.1 16.7 19.5
24,000 26,000 28.000 30.000 32,000
24.5 26.6 28.6 30.6 32.7
9.32 10.9 12.7 14.6 16.6
8.29 9.71 11.3 12.9 14.7
27.7 30.0 32.3 34.6 36.9
11.9 14.0 162 18.6 21.2
9.55 11.2 12.9 14.8 16.9
-
7000 8000 9000 10,000 11,000
14.6 16.7 18.8 20.8 22.9
3.30 4.32 5.47 6.75 8.17
4.49 5.86 7.39 9.11 11.0
16.60 4.28 18.97 5.59 21.35 7.07 23.72 8.73 26.09 10.56
12,000 13.000 14.000 15,000 16,000
25.0 27.1 29.2 31.3 33.3
9.71 11.4 13.2 15.2 17.3
13.3 15.3 17.7 20.3 23.1
28.46 30.83 33.20 35.58 37.95
12.57 15.5 14.75 18.1 17.11 21.0 19.64 24.0 22.35 27.3
20,000 22.000 24.000 26,000 28.000
31.9 35.1 38.3 41.5 44.7
15.8 19.1 22.8 26.7 31.0
18.3 22.2 26.4 30,9 35.8
36.31 38.94 45.57 47.20 50.84
20.46 24.76 29.47 34.58 40.11
21.3 25.8 30.6 35.9 41.5
28.000 30.000 32,000 34.000 36.000
35.3 37.8 40.3 42.9 45.4
19.3 22.2 25.3 28.5 32.0
19.4 22.3 25.3 28.6 32.0
40.2 43.0 45.9 48.8 51.6
25.0 28.7 32.7 36.9 41.4
22.6 25.9 29.5 33.2 37.2
34,000 36.000 38,000 40.000 45,000
34.7 36.8 38.8 40.9 46.0
18.7 21.0 23.4 25.9 32.8
16.6 18.5 20.7 22.9 28.9
39.2 41.6 43.9 46.2 51.9
23.9 26.8 29.9 33.1 41.9
19.0 21.3 23.7 26.2 33.1
17,000 18,000 20,000 22,000 24.000
35.4 37.5 41.7 45.9 50.0
19.5 21.8 27.0 32.7 38.8
26.1 29.7 36.0 43.5 52.7
40.32 42.69 47.43 52.18 56.92
25.23 28.27 34.92 42.26 50.29
30,000 32.000 34.000 36.000 38,000
47.9 51.1 54.3 57.4 60.6
35.6 40.5 45.7 51.2 57.1
41.1 46.7 52.7 59.1 65.8
54.47 58.10 61.73 65.36 68.99
46.04 52.39 59.14 66.30 73.88
47.6 54.1 61.0 68.4 76.1
38.000 40.000 42,000 44.000 46,000
47.9 50.4 53.0 55.5 58.0
35.6 39.5 43.5 47.8 52.2
35.7 39.5 43.6 47.8 52.2
54.5 57.4 60.2 63.1 66.0
46.1 ' 51.1 56.3 61.8 67.6
41.4 45.9 50.5 55.4 60.5
50.000 55,000 60,000 65,000 70,000
51.1 56.2 62.3 66.4 71.5
40.5 49.0 58.3 68.4 79.3
35.7 43.1 51.3 60.2 69.8
57.7 63.5 69.3 75.0 80.8
51.7 62.6 74.5 87.4 101
40.8 49.3 58.6 68.6 79.5
30.8 34.5 42.9 51.3 61.0
Note: No allowance has been made for age, difference In d~ameter,or any abnormal condition of ~nterlor surface. Any factor of safety must be estimated from the local conditions and the requirements of each particular installation. It IS recommended that for most commercial design purposes a safety factor of 15 to 20% be added to the values in the tables-see page 3-5.
Note: No allowance has been made for age, difference in diameter, or any abnormal condition of interior surface. Any factor of safety must be estimated from the local conditions and the requirements of each Particular installation. It is recommended that for most commercial design purposes a safety factor of 15 to 20% be added to the values in the tables-see page 3-5.
CAMERON HYDRAULIC DATA
INGERSOLLRAND
Friction of Water (Continued)
Friction of Water (Continued)
(Based on Darcy's Formula)
(Based on Darcy's Formula)
Asphalt-dipped cast iron and new steel pipe
Asphalt-dipped cast iron and new steel pipe
Flow US gal per mln
-
Asphalt-dlpped cast ~ r o n
New steel schedule 40
24.0"inslde dia
22.624"lnslde dla
VeVel o c ~ t y loclty f l per head sec ft
36 Inch
30 Inch
24 Inch
Head loss ft per l00ft
Veloclty ft per sec
Velocity head ft
Head loss ft per l00R
-
Flow US gal per mln
Asphalt-dlpped cast iron
New steel schedule 30
30.0"lnslde dla
28.750"lnslde dla
Veloclty ft per sec
Veloc:ty head ft
Head loss ft per l00fl
Veloclty ft per sec
Veloclty head ft
Head loss ft per l00ft
,567 ,709 .851 ,993 1.14
,005 .008 .011 ,015 ,020
,005 .007 .010 .013 ,017
.638 .798 ,958 1.12 1.28
.006 010 -014 ,019 ,025
.006 .009 .013 .017 .022
1000 1200 1400 1600 1800
.454 ,545 ,635 ,726 ,817
003 .005 ,006 ,008 ,010
.002 .003 .005 .006 .007
.494 .593 ,692 ,791 ,890
004 005 ,007 ,010 ,012
.003 .004 .005 .007 .009
1800 1.28 2000 1.42 2400 1.70 2800 1.99 3200 2.27
,025 ,031 ,045 .061 ,080
.021 .026 .037 -049 .063
1.44 1.60 1.92 2.24 2.55
,032 ,040 ,057 078 ,101
.028 .034 -047 .063 .080
2000 2400 2800 3200 3600
,908 1.09 1.27 1.45 1.63
,013 ,018 ,025 -033 .041
.009 .012 .016 .021 .026
,988 1.19 1.38 1.58 1.78
,015 ,022 ,030 -039 .049
.010 .015 .019 .025 .031
3600 2.55 4000 2.84 5000 3.55 6000 4.26 7000 4.96
.I01 .I25 .I95 ,281 ,383
.079 .097 .I49 .212 .287
2.87 3.19 3.99 4.79 5.59
.I28 ,158 ,247 356 .484
.096 .I18 .I79 -254 .341
4000 5000 6000 7000 8000
1.82 2.27 2.72 3.18 3.63
,051 ,080 ,115 157 205
.032 ,048 .069 .092 .I19
1.98 2.47 2.97 3.46 3.95
.061 ,095 ,136 .I86 .243
.037 .057 .077 .I03 -133
800 1000 1200 1400 1600
26,000 28.000 30,000 34.000 38.000
18.4 19.9 21.3 24.1 27.0
5.28 6.12 7.03 9.02 11.3
3.78 4.38 5.02 6.44 8.03
20.8 22.3 23.9 27.1 30.3
6.68 7.75 8.90 11.4 14.3
4.34 5.03 5.76 7.36 9.17
28.000 30,000 35.000 40,000 45,000
12.7 13.6 15.9 18.2 20.4
2.51 2.88 3.92 5.12 6.48
1.39 1.59 2.15 2.81 3.54
13.8 14.8 17.3 19.8 22.2
2.97 3.41 4.64 6.07 7.68
1.48 1.69 2.29 2.97 3.75
42,000 46,000 50.000 60.000 70.000
29.8 32.6 35.5 42.6 49.6
13.8 16.5 19.5 28.1 38.3
9.80 11.7 13.9 19.9 27.1
33.5 36.7 39.9 47.9 55.9
17.4 20.9 24.7 35.6 48.4
11.2 13.4 15.8 22.6 30.7
50.000 55.000 60.000 65,000 70.000
22.7 25.0 27.2 29.5 31.8
7.99 9.67 11.5 13.5 15.7
4.37 5.28 6.27 7.35 8.52
24.7 27.2 29.7 32.1 34.6
9.48 115 13.6 16.0 18.6
4.61 5.56 6.60 7.73 8.95
80,000 90,000 100,000 110,000 120.000
56.7 63.8 70.9 78.0 85.1
50.0 63.2 78.1 94.3 112
35.3 44.7 55.1 65.6 78.5
63.8 71.8 79.8 87.8 95.8
63.3 80.1 98.9 110 142
40.0 50.6 62.3 75.3 89.6
75,000 80,000 85.000 90,000 100,000
34.0 36.3 38.6 40.9 45.4
18.0 20.5 23.1 25.9 32.0
9.77 11.1 12.5 14.0 17.3
37.1 39.5 42.0 44.5 49.4
21.3 24.3 27.4 30.7 379
10.3 11.7 13.1 14.7 18.1
.
Flow US gal per mln
42 Inch 42.0lnslde dla
Asphalt-d~pped cast ~ r o n
New steel schedule 40
36.0"Inside dla
34.500"lnside dla
Velocity ft per sec
Veloclty head ft
Head loss ft per 100 R
Veloclty ft p e r sec
Velocity head ft
Head loss A per 100 ft
Flow US gal per mln
Veloclty ft per sec
Veloclty head ft
Cast iron asphalt dlpped
New steel
Head loss tU100 ft
1400 1600 1800 2000 2400
,441 ,504 ,567 ,630 -756
,003 ,004 ,005 .006 .009
.002 .002 .003 .004 .005
,480 .549 ,618 .686 .824
,004 ,005 ,006 ,007 ,011
.002 .003 ,004 ,004 .006
2000 3000 4000 5000 6000
,463 ,695 ,926 1.16 1 39
003 007 ,013 ,021 .030
.002 ,004 .006 ,009 .013
.002 .003 .006 .009 .012
2800 3200 3600 4000 5000
,883 1.01 1 .I 4 1.26 1.58
,012 .016 ,020 ,025 ,039
.007 .008 .010 .013 .019
,961 1.10 1.24 1.37 1.72
,014 ,019 ,024 ,029 .046
.008 .010 .013 .015 .023
7000 8000 9000 1 0,000 11,000
1.62 1.85 2.08 2.32 2.55
.041 ,053 .067 ,083 ,101
.017 .022 ,027 .034 ,040
.017 .021 .026 .032 .037
6000 7000 8000 9000 10,000
1.89 2.21 2.52 2.84 3.15
.056 ,076 .099 ,125 .I54
.027 .037 .048 .060 .073
2.06 2.40 2.75 3.09 3.43
-066 .090 -117 -148 ,183
-033 .043 -054 .067 .082
12,000 14,000 16,000 18,000 20,000
2.78 3.24 3.71 4.17 4.63
,120 ,163 ,213 ,270 .333
.048 .064 .083 .lo4 .I28
.043 .058 ,075 .094 .I14
12,000 14,000 16,000 18.000 20.000
3.78 4.41 5.04 5.67 6.30
.222 302 ,395 ,500 -617
.lo4 .I40 ,182 .228 .281
4.12 4.81 5.49 6.18 6.86
.263 -358 ,468 ,592 ,731
.I15 .I55 .200 .250 307
25,000 30,000 35.000 40,000 45.000
5.79 6.95 8.11 9.26 10.4
,520 ,749 1.02 1.33 1.69
.I98 .282 382 .497 .626
.I75 .249 335 .434 .545
25,000 30,000 35.000 40,000 50,000
7.88 9.46 11.0 12.6 15.8
,962 1.39 1.89 2.47 3.86
.433 .622 ,843 1.10 1.70
8.58 10.30 12.0 13.7 17.2
1.14 1.65 2.24 2.93 4.57
.471 .671 .906 1.18 1.82
50.000 60.000 70,000 80,000 90,000
11.6 13.9 16.2 18.5 20.8 .
2.08 3.00 4.08 15.33 6.74
.771 1.11 1.50 1.95 2.47
.669 .954 1.29 1.67 2.11
60.000 70.000 80,000 90,000 100,000
18.9 22.1 25.2 28.4 31.5
5.55 7.56 9.87 12.5 15.4
2.45 3.32 4.33 5.47 6.74
20.6 24.0 27.5 30.9 34.3
6.58 8.96 11.7 14.8 18.3
2.60 3.52 4.58 5.77 7.11
100,000 110,000 120.000 130.000 140.000
23.2 25.5 27.8 30.1 32.4
8.32 10.1 12.0 14.1 16.3
3.04 3.67 4.37 5.12 5.93
2.60 3.13 3.72 4.35 5.04
110,000 120.000 130,000 140.000 150.000
34.7 37.8 41.0 44.1 47.3
18.7 22.2 26.1 30.2 34.7
8.15 9.69 11.4 13.2 15.1
37.7 41.2 44.6 48.0 51.5
22.1 26.3 30.9 35.8 41.1
8.58 10.2 11.9 13.8 15.8
150.000 160.000 170.000 180.000 190.000
34.7 37.1 39.4 41 7 44.0
18.7 21.3 24.1 27.0 30.0
6.80 7.73 8.73 9.78 10.9
5.77 6.56 7.39 8.28 9.21
160,000 170.000 180,000 190.000 200.000
50.4 53.6 567 59.9 63.0
39.5 44.6 50.0 55.7 61.7
17.2 19.4 21.7 24.2 26.8
54.9 58.3 61.8 65.2 68 6
46.8 52.8 59.2 66.0 73.1
18.0 20.3 22.8 25.3 28.0
200,000 250,000 300.000 350.000 400.000
46.3 57.9 69.5 81.1 92 6
33.3 52.0 74.9 102 133
12.1 18.8 27.1 36.8 48.0
10.2 15.6 22.4 30.4 39.6
-
Note: No allowance has been made for age, difference in diameter, or any abnormal condition of interior surface. Any factor of safety must be estimated from the local conditions and the requirements of each particular installation. It is recommended that for most commercial design purposes a safety factor of 15 to 20% be added t o the values in the tables-see page 3-5.
Note: No allowance has been made for age, difference in diameter, or any abnormal condition of interior surface. Any factor of safety must be estimated from the local conditions and the requirements of each particular installation. It IS recommended that for most commerc~aldesign purposes a safety factor of 15 to 20% be added to the values in the tables-see page 3-5.
CAMERON HYDRAULIC DATA Friction of Water
Friction of Water (Continued)
54 lnch 54.0"Inside d ~ a
Flow US gal per rnln
2000 3000 4000 5000 6000
Cast Iron asphalt dipped
New steel
Flow US gal per rnin
Cast Iron asphalt d~pped
New steel
Veloc~ty ft per sec
Veloc~ty head ft
.355 .532 .709 ,887 1.06
,002 ,004 ,008 .012 .018
.DO1 .002 .003 .005 .007
.oo: .002 .003 .005 .006
10,000 12.000 14.000 16.000 18.000
1.40 1.68 1.96 2.24 2.52
,030 ,044 ,060 .078 099
.010 .013 .018 .023 ,029
.009 ,013 ,017 ,022 .027
1 24
.009 .011 .014 .017 .024
.009 ,010 ,014 .017 .023
20,000 22.000 24.000 26,000 28,000
2.80 3.08 3.36 3.64 3.92
122 147 .I75 206 .239
.036 .043 .051 ,059 .069
,033 .039 .047 ,054 .062
30,000 35,000 40,000 45,000 50.000
4.20 4.90 5.60 6.30 7.00
.274 .373 .487 ,617 ,761
.079 .lo6 .I37 ,173 ,213
,071 .096 ,123 .I54 .I89
head loss
ft1100 tt
7000 8000 9000 10,000 12,000
1.42 1.60 1.77 2.13
,024 .031 .040 ,049 ,070
14,000 16,000 18,000 20,000 25.000
2.48 2.84 3.19 3.55 4.43
,096 125 ,158 .I95 .304
-033 .042 ,053 .065 .I00
.031 .039 .048 .059 .092
30.000 35.000 40.000 45,000 50,000
5.32 6.21 7.09 7.98 8.87
.439 .598 -779 .987 1.22
.I43 .I93 .251 .316 .389
.I30 ,175 .225 .279 .340
55,000 60,000 70,000 80.000 90,000
9.75 10.64 12.41 14.18 15.96
1.47 1.76 2.39 3.12 3.95
.469 .556 .754 .982 1.24
.406 .485 .654 .849 1.07
100,000 110,000 120,000 130,000 140.000
17.73 19.50 21.28 23.05 24.82
4.88 5.90 7.03 8.25 9.56
1.53 1.84 2.19 2.52 2.98
1.31 1.58 1.88 2.20 2.54
Veloc~ty ft per sec
Veloc~ty head ft
head loss ft per 100 ft
84 lnch
72 lnch
60 lnch
Asphalt-dipped cast iron and new steel pipe 48 lnch
New Steel Pipe (Continued)
(Based on Darcy's Formula)
(Based on Darcy's Formula)
Nom~nalslze
Nom~nalsize
Nominal size
60.0inside dia
7 2 inside dia
84.0inside dia
Flow US gal per min
Flow US gal per mln
Flow US gal per mln
VeVeHead l o c ~ t y l o c ~ t y loss ft per head R per ft sec 100 R
14.000 16,000 18,000 20,000 22,000
1.59 1.82 2.04 2.27 2.50
,039 -051 .065 ,080 ,097
.010 .013 .017 .020 .023
18,000 20.000 22.000 24,000 26,000
1.42 1.58 1.73 1.89 2.05
,031 ,039 ,047 ,056 ,065
.007 .008 ,010 .012 .013
24,000 26.000 28,000 30,000 35,000
24,000 26.000 28.000 30.000 35,000
2.72 2.95 3.18 3.40 3.97
,115 ,135 -157 .I80 -245
.027 .032 -037 .042 .056
28,000 30,000 35.000 40,000 45.000
2.21 2.36 2.76 3.15 3.55
,076 -087 ,118 ,154 ,195
.015 .018 .023 .029 .036
40,000 45,000 50,000 55.000 60,000
40.000 45.000 50,000 60.000 70,000
4.54 5.11 5.67 6.81 7.94
.320 ,405 ,500 ,719 ,979
.072 .091 .l 11 .I57 .212
50,000 60,000 70,000 80.000 90,000
3.94 4.73 5.52 6.30 7.09
,241 ,347 ,472 .617 ,781
,045 ,063 .085 .I10 .I37
80.000 90,000 100,000 110,000 120.000
9.08 10.2 11.3 12.5 13.6
1.28 1.62 2.00 2.42 2.88
.274 .345 .423 SO9 .603
100,000 110,000 120,000 130,000 140,000
7.88 8.67 9.46 10.2 11.0
,964 1.17 1.39 1.63 1.89
130,000 140,000 150.000 160,000 170.000
14.8 15.9 17.0 18.2 19.3
3.38 3.92 4.50 5.12 5.78
.705 .815 .933 1.06 1.19
150,000 160,000 170,000 180.000 190,000
11.8 12.6 13.4 14.2 15.0
180,000 190,000 200.000 250.000 300.000
20.4 21.6 22.7 28.4 34.0
6.48 7.21 7.99 12.5 18.0
1.33 1.48 1.64 2.55 3.65
200,000 250.000 300.000 350,000 400,000
350.000 400.000 450.000 500,000 550.000
39.7 45.4 51.1 56.7 62.4
24.5 32.0 40.5 50.0 60.5
4.95 6.45 8.14 10.0 12.1
600,000 650.000 700.000 750.000 800.000
68.1 73.8 79.4 85.1 90.8
71.9 84.4 97.9 112 128
14.4 16.9 19.7 22.4 25.5
Velocity ft per sec
Velocity head ft
Head loss ft per
l00R
Velocity ft per sec
Velocity head
Head loss R per
ft
100 R
1.39 1.51 1.62 1.74 2.03
,030 ,035 .041 ,047 ,064
.005 .006 .007 .008 ,011
2.32 2.90 3.18 3.47
,083 ,105 -130 ,157 ,187
.014 .017 .021 .025 .029
70.000 80,000 90,000 100,000 1 1 0,000
4.05 4.63 5.21 5.79 6.37
,255 ,333 ,421 ,520 ,629
.039 .051 .063 .078 .093
.I68 .203 .240 .280 323
120,000 130,000 140,000 150,000 160,000
6.95 7.53 8.11 8.64 9.26
,749 ,879 1.02 1.17 1.33
.I10 .I29 .I49 .I70 .I92
2.17 2.47 7.89 3.12 3.48
.370 .419 .472 .528 .587
170,000 180,000 190,000 200,000 250.000
9.84 10.4 11.0 11.6 14.5
1.50 1.69 1.88 2.08 3.25
.216 .242 .269 .297 .459
15.8 19.7 23.6 27.6 31.5
3.86 6.02 8.67 11.8 15.4
.648 1.00 1.44 1.95 2.53
300,000 350,000 400,000 450.000 500,000
17.4 20.3 23.2 26.1 28.9
4.68 6.37 8.32 10.5 13.0
.655 .886 1.15 1.45 1.79
450,000 500.000 550,000 600,000 650.000
35.5 39.4 43.3 47.3 51.2
19.5 24.1 29.2 34.7 40.7
3.20 3.94 4.75 5.65 6.62
550,000 600,000 650,000 700,000 750,000
31.8 34.7 37.6 40.5 43.4
15.7 18.7 22.0 25.5 29.3
2.16 2.56 3.00 3.48 3.99
700,000 750,000 800,000 850,000 900,000
55.2 59.1 63.0 67.0 70.9
47.2 54.2 61.7 69.6 78.1
7.66 8.79 9.99 11.3 12.6
800,000 850,000 900,000 950,000 1,000,000
46.3 49.2 52.1 55.0 57.9
33.3 37.6 42.1 46.9 52.0
4.53 5.11 5.72 6.37 7.05
2.61
Note: No allowance has been made for age, difference in diameter, or any abnormal condition of interior surface. Any factor of safety must be estimated from the local conditions and the requirements of each partlcular installat~on It is recommended that for most commercial design purposes a safety factor of 15 to 20% be added to the values In the tables-see page 3-5. Note: No allowance has been made for age, difference in diameter, or any abnormal condition of interior surface. Any factor of safety must be estimated from the local conditions and the requirements of each particular installation. It is recommended that for most commercial design purposes a safety factor of 15 to 20% be added to the values in the tables-see page 3-5.
INGERSOLLRAND Friction of Water
FRICTION
CAMERON HYDRAULIC DATA Friction of Water
New Steel Pipe (Continued)
96 Inch
108 Inch
Nominal size
120.0inside dia
108.0 inside dia
96.0 inside dia Flow US gal per min
Flow US gal per mln
Velocity ft per sec
Velocity head ft
Head loss ft per
Flow US gal per mln
Velocity ft per sec
Veloclty head ft
Head loss ft per
Velocity ft per sec
Velocity head ft
Head loss ft per
12.000 14,000 1 6,000 18.000 20.000
,532 .621 ,709 ,798 ,887
,004 ,006 ,008 ,010 ,012
.001 ,001 .001 .002 .002
15:000 20,000 25.000 30,000 35,000
-525 .700 ,876 1.05 1.23
.004 .008 ,012 ,017 ,023
.OOl ,001 .002 .002 .003
20.000 30.000 40.000 50,000 60,000
,567 ,851 1.14 1.42 1.70
,005 ,011 .020 .031 .045
.001 .001 .002 .004 .005
22,000 24,000 26.000 28,000 30,000
,975 1.06 1.15 1.24 1.33
,015 ,018 .021 ,024 ,027
.002 .003 .003 .004 .004
40,000 45 000 50,000 60.000 70,000
1.40 1.58 1.75 2.10 2.45
,030 .039 .048 .069 ,093
,004 .005 .006 .009 .011
70,000 80,000 90.000 100,000 110,000
1.99 2.27 2.55 2.84 3.12
,061 ,080 ,101 .I25 ,151
.007 .009 .011 .013 .016
40,000 50,000 60,000 70.000 80,000
1.77 2.22 2.66 3.10 3.55
.049 ,076 .I10 ,149 - 195
.007 -011 .015 .020 .026
80.000 90.000 100,000 110,000 120,000
2.80 3.15 3.50 3.85 4.20
,122 -154 ,190 ,230 ,274
.015 .018 .022 .027 .031
120.000 130.000 140.000 150.000 160.000
3.40 3.69 3.97 4.26 4.54
,180 ,211 ,245 ,281 ,320
.019 .022 .025 .028 .032
90,000 100,000 110,000 120,000 130,000
3.99 4.43 4.88 5.32 5.76
,247 ,305 ,369 ,439 ,515
,033 .040 ,048 .056 .066
130,000 140,000 150,000 160,000 170,000
4.55 4.90 5.25 5.60 5.95
,322 ,373 ,428 ,487 ,550
.037 .042 .048 .054 .061
170,000 4.83 180,000 5.11 190,000 5.39 200.000 5.67 250,000 7.09
,361 .405 .451 ,500 ,781
.036 .040 .045 -049 .076
140,000 1 50,000 160,000 170,000 180,000
6.21 6.65 7.09 7.54 7.98
,598 ,686 ,781 ,881 ,988
,076 .087 .098 .llO .I23
180.000 6.30 ,617 190,000 6.65 ,687 ,761 200,000 7.00 250,000 8.76 1.19 300,000 10.5'1.71
.068 .076 .084 .I29 .I83
300.000 350.000 400,000 450,000 500,000
8.51 9.93 11.3 12.8 14.2
1.12 1.53 2.00 2.53 3.12
.I08 .I45 .I88 .237 .291
190,000 200,000 250.000 300,000 350.000
8.42 8.87 13.3 15.5
1.10 1.22 1.91 2.74 3.74
,137 .I51 .233 .333 .449
350,000 400,000 450.000 500.000 600,000
12.3 14.0 15.8 17.5 21.0
2.33 3.05 3.86 4.76 6.85
.247 .321 .404 .497 .710
600,000 700.000 800,000 900,000 1,000,000
17.0 19.9 22.7 25.5 28.4
4.50 6.12 7.99 10.1 12.5
.416 -562 .731 .922 1.14
400.000 450.000 500.000 600,000 700,000
17.7 19.9 22.2 26.6 31.0
4.88 6.18 7.62 11.0 14.9
.584 .735 .905 1.30 1.76
700.000 800.000 900.000 1,000,000 1,100,000
24.5 28.0 31.5 35.0 38.5
9.33 12.2 15.4 19.0 23.0
.962 1.25 1.58 1.94 2.35
1,100,000 1,200.000 1,300.000 1,400,000 1,500,000
31.2 34.0 36.9 39.7 42.6
15.1 18.0 21.1 24.5 28.1
1.37 1.63 1.91 2.21 2.53
800,000 900.000 1,000,000 1,100,000 1,200,000
35.5 39.9 44.3 48.8 53.2
19.5 24.7 30.5 36.9 43.9
2.29 2.88 3.55 4.29 5.10
1,200,000 1,300.000 1,400,000 1,500,000
42.0 45.5 49.0 52.5
27.4 32.2 37.3 42.8
2.79 3.27 3.78 4.34
1,600,000 1,700,000 1,800,000 1.900.000 2,000,000
45.4 48.2 51.1 53.9 56.7
32.0 36.1 40.5 45.1 50.0
2.87 3.24 3.63 4.04 4.47
11.1
l00R
l00ft
168 Inch
144 Inch
120 Inch
Nominal size
Nominal size
New Steel Pipe (Continued)
(Based on Darcy's Formula)
(Based on Darcy's Formula)
l00n
Note: No allowance has been made for age, difference in diameter, or any abnormal condition of interior surface. Any factor of safety must be estimated from the local conditions and the requirements of each particular installation. It is recommended that for most commercial design purposes a safety factor of 15 to 20% be added to the values in the tables-see page 3-5.
Flow US gal per mln
192 Inch
Nominal size
Nominal slze
144.W inside dia
168.0inside dia Flow US gal pef mln
Velocity head ft
Nominal size
Head loss ft per
Flow US gal per min
Velocity ft per sec
Velocity head ft
Head loss R per 100 R
30,000 .591 40.000 .788 50,000 .985 60,000 1.18 70,000 1.38
,005 ,010 ,015 .022 ,030
.001 .001 .002 ,002 .003
50.000 ,724 60,000 ,868 70,000 1.01 80.000 1.16 90,000 1.30
,008 ,012 ,016 ,021 ,026
.001 .001 .002 .002
60.000 80,000 100,000 120.000 140.000
1.58 1.77 1.97 2.17 2.36
.039 .049 .060 .073 ,087
.004 .005 .DO6 .006 .008
100,000 1.45 120,000 1.74 140,000 2.03 150.000 2.17 160,000 2.32
.033 ,047 ,064 ,073 ,083
130,000 2.56 140,000 2.76 150.000 2.96 160,000 3.15 170.000 3.35
.I02 .I 18 .I36 .I54 ,174
.009 ,010 .011 .013 .015
180,000 200,000 220,000 240.000 250,000
2.61 2.90 3.18 3.47 3.62
180,000 190,000 200,000 250,000 300.000
3.55 3.74 3.94 4.93 5.91
,195 .217 ,241 ,376 ,542
.016 .018 .020 .030 -043
260.000 280.000 300.000 350,000 400,000
350,000 400,000 450,000 500,000 600,000
6.90 7.88 8.87 9.85 11.8
,738 ,964 1.22 1.51 2.17
.058 .075 .094 .I16 .I65
700.000 800,000 900.000 1,000.000 1,200,000
13.8 15.8 17.7 19.7 23.6
2.95 3.86 4.88 6.02 8.67
1,400,000 1,5M],000 1,600,000 1,800.000 2,000.000
27.6 29.6 31.5 35.5 39.4
2.200,OOO 2,400,000 2,500.000 2.600.000 2.800,OOO
43.3 47.3 49.3 51.2 55.2
80,000 90,000 100,000 110,000 120,000
Velocity ft per sec
100 ft
-
192.0"inside dia Velocity ft per sec
,665 ,887
Veloclty head ft
Head
loss
n per 100 ft
1.33 1.55
,007 -012 -019 .027 .037
.001 .001 .001 .002 .003
.003 .004 .005 .005 .006
150,000 1.66 160,000 1.77 180.000 2.00 200,000 2.22 220.000 2.44
,043 ,049 ,062 .076 ,092
.003 .003 .004 .005 .006
.I05 ,130 ,157 ,187 ,203
.008 .009 .011 .013 .014
240,000 250,000 260,000 280.000 300,000
2.66 2.77 2.88 3.10 3.32
,110 ,119 ,129 ,149 ,172
,007 .007 .008 .009 .010
3.76 4.05 4.34 5.07 5.79
,220 .255 ,293 ,398 .520
.015 .018 .020 .027 .035
350.000 400.000 450.000 500,000 600.000
3.88 4.43 5.00 5.54 6.65
,233 305 ,386 ,476 .686
.014 .018 .022 .027 .039
450,000 500,000 600,000 700,000 800.000
6.51 7.24 8.68 10.1 11.6
,658 .813 1.17 1.59 2.08
.043 .053 .076 .lo2 .I33
700,000 800,000 900,000 1,000,000 1.200.000
7.76 8.87 9.97 13.3
,934 1.22 1.54 1.91 2.74
.052 .068 .085 .lo4 .I49
.223 .289 .364 .448 .641
900.000 1.000.000 1,200,000 1,400,000 1,600,000
13.0 14.5 17.4 20.3 23.7
2.63 3.25 4.68 6.37 8.73
.I67 .205 .293 .396 .547
1.400.000 1,600.000 1,800,000 2,000,000 2,200,000
15.5 17.7 19.9 22.2 24.4
3.74 4.88 6.18 7.62 9.22
.201 .261 .329 .405 .488
11.8 13.6 15.4 19.5 24.1
.869 .995 1.13 1.43 1.76
1,800,000 2,000,000 2,200,000 2,400,000 2,600,000
26.7 29.6 32.6 35.6 38.5
11.1
13.6 16.5 19.6 23.1
.690 .850 1.03 1.22 1.43
2,400,000 2,600,000 2,800,000 3.000.000 3,200.000
26.6 28.8 31.0 33.2 35.5
11.0 12.9 14.9 17.2 19.5
.580 .679 .786 .900 1.02
29.2 34.7 37.6 40.7 47.2
2.12 2.52 2.73 2.95 3.42
2.800.000 3.000.000 3,200,000 3,400,000 3.600,OOO
41.5 44.5 47.4 50.4 53.4
26.7 307 34.9 39.4 44.2
1.65 1.89 2.15 2.43 2.72
3,400.000 3,600,000 3.800.000 4,000,000 4,500,000
37.7 39.9 42.1 44.3 49.9
22.0 24.7 27.5 30.5 38.6
1.15 1.29 1.44 1.59 2.01
.001
1.11
11.1
Note: No allowance has been made for age, difference in diameter, or any abnormal condition of interior Surface. Any factor of safety must be estimated from the local conditions and the requirements of each particular installation. It is recommended that for most commercial design purposes a safety factor of 15 to 20% be added to the values in the tables-see page 3-5.
CAMERON HYDRAULIC DATA Friction of Water (Continued)
Friction Losses in Smooth Tubing and Pipe
(Eased on Darcy's Formula)
Copper Tubing (Type K, L and M)- S. P. S. Copper and Brass Pipe, Plastic and Glass Pipe. Smooth copper tubing and pipe, brass pipe, plastic and glass pipe are available in various sizes and types to meet individual requirements a s specified-sizes may be different than standard. To avoid the necessity of interpolation and applying correction factors to t h e values for cast iron and steel pipe, a special set of tables is included herewith on pages 3-34 to 3-48 figured on t h e basis of commercially available copper tubing, and S.P.S. copper and brass pipe. These tables are calculated using the Darcy-Weisbach equation (see page 3-3) and basis an absolute roughness parameter of 0.000005 (see page 3;5); since this roughness parameter applies to very smooth pipe or tubing a safety factor should' be applied in those cases to compensate for possible questionable conditions; a s discussed on page 3-5 it is suggested that for most commercial design purposes a safety factor of 15 to 20% be added to the head loss values in the tables. I t should be noted t h a t t h e head loss d a t a can apply to a n y fluid having a kinematic viscosity v = 0.000 012 16 ft2/sec (1.130 centistokes), which is t h e viscosity for pure fresh water a t 60°F. Greater viscosities (colder water) will increase t h e friction; lower viscosities (warmer water) will decrease the friction. Friction losses for tubing and pipe sizes between those listed in the tables may be determined with reasonable accuracy using a ratio of the fifth powers of the diameters; for example: Desired friction loss pipe B = known friction loss pipe A
Copper Tubing-*S.P.S. l/2
Copper and Brass Pipe lnch
Type K tublng
Type L t u b ~ n g
Type M t u b ~ n g
-
.527" ~ n s ~ d e~ a 049" wall thk
545" ~ n s ~ d e~ a 0 4 0 wall thk
,569" ~ n s ~ ddia e ,028'' wall thk
US gal per mln
Head loss ftI100ft
Head
Flow
Veloc~ty ftisec
Velocity ftisec
loss fti100ft
Veloc~ty ftlsec
Head loss fV100ft
' Pipe
625" ~ n s i d ed ~ a 1075" wall thk Veloc~ty ftisec
Head loss fV100n'
Flow
-
US gal per mln
1' 2 1 1112 2 21/2
0.74 1 47 220 2.94 3 67
0.88 2.87 5.77 9.52 14.05
0.69 1.38 2.06 2.75 3.44
0.75 2.45 4.93 8.11 11.98
0.63 1 26 1 90 253 3.16
0.62 2.00 4.02 6.61 9.76
0.52 1.04 1.57 2.09 2.61
0.40 1.28 2.58 4.24 6.25
3 3'/2 4 4% 5
4.40 5.14 5.87 6.61 7.35
19.34 25.36 32.09 39.51 47.61
4.12 4.81 5.50 6.19 6.87
16.48 21.61 27.33 33.65 40.52
3.79 4.42 5.05 5.68 6.31
13.42 17.59 22.25 27.39 32.99
3.13 3.66 4.18 4.70 5.22
8.59 11.25 14.22 17.50 21.07
3 3% 4 4th 5
8.81 10.3 11.8 13.2 14.7
65.79 86.57 109.9 135.6 163.8
825 9.62 11 .O 124 13.8
56.02 73.69 93.50 115.4 139.4
7.59 8.84 10.1 11.4 12.6
45.57 59.93 76.03 93.82 113.3
6.26 7.31 8.35 9.40 10.4
29.09 38.23 48.47 59.79 72.16
6 7
6 7 8 9 10
I/ 1 Ill2
2 2'12
8 9 10
%I lnch
Friction of Water (Eased on Darcy's Formula)
Copper and Brass Pipe 34 lnch
Copper Tubing-*S.P.S.
Flow
-
US gal per min
.
Type K t u b ~ n g
Type L t u b ~ n g
Type M tublng
4 0 2 inside d ~ a 0 4 9 wall thk
430" ~ n s ~ d e~ a 035" wall th k
450 ~ n s ~ d e~ a 025 wall thk
Veloc~ty ftisec
Head loss W100 fl
Veloclty ftisec
Head loss tV100 ft
Veloc~ty ftisec
Head loss N 1 0 0 ft
Flow -
Type M tubing
,690" inside d ~ a . 0 3 0 wall thk
loss
Veloc~ty ftlsec
Head loss fUl00 fl
Flow
-
niioo
n
'Pipe Flow
-
I 1 Velocity itisec
U S gal per mln
051 101 152 202 2 52
0.66 2.15 4.29 7.02 10.32
0 44 0 88 1 33 1 77 2 20
0.48 1.57 3.12 5.11 7.50
0 40 0 81 1 21 1 61 201
0.39 1.27 2.52 4.12 6.05
0 34 0 67 1 00 1 34 1 68
0.26 0.82 1.63 2.66 3.89
02 04 06 08 1
ll/z 2 2'/2 3
3 78 504 6 30 7 55
20.86 34.48 51.03 70.38
3 30 440 5 50 6 60
15.15 20.03 37.01 51.02
3 02 402 5 03 6 04
12.21 20.16 29.80 41.07
2 51 335 4 19 5 02
7.84 12.94 19 11 26 32
I l/2 2 2'2 3
3'12
8 82 10 I 11 4 126
92.44 117.1 144.4 174.3
7 70 8 80 9 90 110
66.98 84.85 104.6 126.1
7 04 8 05 9 05 10 05
53.90 68.26 84.1 1 101.4
5 86 6 70 7 53 8 36
34 52 43.70 53.82 64.87
3l2 4 4'2 5
4M 5
Type L tubing
.666" ins~dedia , 0 4 2 wall th k
Head
Pipe
494' ~ n s ~ d dla e 0905 wall thk
02 04 06 08 1
4
Type K t u b ~ n g
,652" inside dia ,049" wall thk
Calculations on pages 3-34 to 3-48 are by lngersoll-Rand Co. Note No allowance has been made for age, dlfference in diameter, or any abnormal condit~onof ~ n t e r ~ o r surface Any factor of safety must be est~matedfrom the local c o n d ~ t ~ o nand s the requirements of each PartlC~larlnstallatlon It IS recommended that for most commerc~aldes~gnpurposes a safety factor of 15 to 20% be added to the values In the tables-see page 3-5
Note: No allowance has been made for age, d~fferenceIn diameter, or any abnormal condition of Interior surface. Any factor of safety must be estimated from the local conditions and the requirements of each Particular installation. It is recommended that for most commerc~aldesign purposes a safety factor of 15 to 2O0/o be added to the values in the tables-see page 3-5.
CAMERON HYDRAULIC DATA
INGERSOLLRAND
Friction of Water (Continued)
Friction of Water (Continued)
(Based on Darcy's Formula)
(Based on Darcy's Formula)
Copper Tubing-*S.P.S.
Copper Tubing-*S.P.S. Copper and Brass Pipe 1l/4 lnch
Copper and Brass Pipe
Y4 lnch
I
Type K tublng
Type K t u b ~ n g
Type L t u b ~ n g
Type M t u b ~ n g
,745' ~ n s ~ d e~ a ,065'' wall thk
,785'' ~ n s ~ d dia e 045" wall thk
.811" ~ n s ~ dd e~ a .032" wall thk
Flow
Pipe
A
Flow -
US gal per mln
Ielocity ftisec
1 2 3 4 5
Head loss WlOO A
3.73 6.1 6
2 94
8 2 2 ~ n s ~ d e~ a 114" wall thk
Flow
Head loss W100 ft
gal Per min
Head Veloc~ty ftisec
loss W100 ft
Velocity ftisec
0 66 1.33 1.99 2.65 3.31
0.44 1.44 2.91 4.81 7.1 1
0.62 1.24 1.86 2.48 3 10
0.38 1.23 2.49 4.12 6.09
0.60 1.21 1.81 2.42 3.02
0.35 1.16 2.34 3.86 5.71
3.98 4.64 5.30 5.96 6.62
9.80 12.86 16.28 20.06 24.19
3.72 4 34 4.96 5.59 6.20
8.39 11.01 13.94 17.17 20.70
3.62 4.23 4.83 5.44 6.04
7.86 10.32 13.07 16.10 19.41
7.29 7.95 8.61 9 27 9.94
28.66 33.47 38.61 44.07 49.86
6.82 7.44 8.06 8.68 9.30
24.52 28.63 33.02 37.69 42.64
6.64 7.25 7.85 8 45 9 05
22.99 26.84 30.96 35.33 39.97
10.6 11.25 11.92
55.97 62.39 69.13
9.92 10.55 11 17
47.86 53.35 59.10
9.65 10.25 10.85
44.86 50.00 55.40
U S
US g a1 per mln
1 245" Inside d ~ a , 0 6 5 wall thk Velocity ftisec
Head loss W100ft
Type M t u b ~ n g
1.265" i n s ~ d ed ~ a ,055" wall thk
1.291" Inside d ~ a . 0 4 2 wall th k
1.368" inside d ~ a 146" wall thk
Head loss W100R
Head loss W100ft
Head loss W100ft
US gal per mln
Veloc~ty ftlsec
Type K t u b ~ n g
I
Type L tublng
I
-
US gal per mln
1
,995" ~ n s ~ d e~ a ,065'' wall thk veloc~ty ftlsec
1
Head loss W100 ft
1
1.025" inside dia ,050" wall thk veloc~ty ftlsec
/
Head loss ft/100 ft
1
Velocity ftlsec
-
1.31 1.58 1.84 2.11 2.37
0.79 1.09 1.43 1.81 2.22
1.28 1.53 1.79 2.04 2.30
0.74 1.01 1.32 1.67 2.06
1.22 1.47 1.71 1.96 2.20
0.67 0.92 1.20 1.52 1.87
1.09 1.31 1 53 1.75 1.96
0.51 0.70 0.91 1.15 1.42
5 6 7 8 9
10 12 15 20 25
2.63 3.16 3.95 5.26 6.58
2.67 3.69 5.47 9.13 13.59
2.55 3.06 3.83 5.10 6.38
2.48 3.42 5.07 8.46 12.59
2.45 2.93 3.66 4.89 6.11
2.25 3.10 4.60 7.67 11.42
2.18 2.62 3.27 4.36 5.46
1.71 2.35 3.49 5.81 8.65
10 12 15 20 25
30 35 40 45 50
7.90 9.21 10.5 11.8 13.2
18.83 24.83 31.57 38.03 47.20
7.65 8.94 10.2 11.5 12.8
17.44 23.00 29.24 36.15 43.71
7.33 8.55 9.77 11.0 12.2
15.82 20.86 26.51 32.77 39.63
6.55 7.65 8.74 9.83 10.9
11.98 15.79 20.06 24.80 29.98
30 35 40 45 50
60 70 80 90 100
15.8 18.4 21.1 23.7 26.3
65.65 86.82 110.7 137.2 166.3
15.3 17.9 20.4 23.0 25.5
60.78 80.38 102.5 127.0 153.9
14.7 17.1 19.6 22.0 24.4
55.10 72.86 92.85 115.1 139.4
41.66 55.07 70.16 86.91 105.3
60 70 80 90 100
13.1 15.3 17.5 19.6 21.8
1112 ' lnch Type M t u b ~ n p
I
I
'Pipe
Flow Flow
Veloc~ty ftisec
Flow
5 6 7 8 9
1 lnch
(
Pipe
Type L t u b ~ n g
1.055" i n s ~ d ed ~ a ,035" wall thk e o c i t ftisec
1
Head loss W100 f l
1
1.062" i n s ~ d ed ~ a 1 2 6 5 wall thk e o c t ftisec
1
Head loss W100 ft
Flow
1
-
LJ - S -
gal ppr mln
-
US gal per mln
Type L tubing
Type M tubing
Pipe
1.481" inside dia ,072" wall thk
1.505" i n s ~ d edia ,060" wall thk
1.527" Inside dia . 0 4 9 wall thk
1.600" inside dia ,150" wall thk
Velocity ftlsec
Head loss tVlOOtt
Velocity ftlsec
Head loss Wl00n
Velocity ftlsec
Head loss tV100ft
Veloclty ftlsec
Head loss W100fi
Flow
-
US gal per mln
9 10 12 15
1.49 1.67 1.86 2.23 2.79
0.79 0.97 1.17 1.61 2.39
1.44 1.62 1.80 2.16 2.70
0.73 0.90 1.08 1.49 2.21
1.40 1.57 1.75 210 2.63
0.68 0.84 1.01 1.39 2.07
1.27 1 43 1.59 1.91 2.39
0.55 0.67 0.81 1.12 1.65
8 9 10 12 15
20 25 30 35 40
3.72 4.65 5.58 6.51 7.44
3.98 5.91 8.19 10.79 13.70
3.60 4.51 5.41 6.31 7.21
3.68 5.48 7.58 9.99 12.68
3.50 4.38 5.25 6.13 7.00
3.44 5.1 1 7.07 9.31 11.83
3.19 3.98 4.78 5.58 6.37
2.75 4.09 5.65 7.45 9.45
20 25 30 35 40
45
60 70 80 90
837 9.30 11.2 13.0 14.9 16.7
16.93 20.46 28.42 37.55 47.82 59.21
8.11 9.01 10.8 12.6 14.4 16 2
15.67 18.94 26.30 34.74 44.24 54.78
7.88 8.76 10.5 12.3 14 0 15 8
14.61 17.66 24.53 32.40 41.25 51.07
7.16 7.96 9 56 11.2 12.8 14 4
11.68 14.11 19.59 25.87 32.93 40.76
45 50 60 70 80 90
100 110 120 130
18.6 20.5 22.3 24 2
71.70 85.29 99.95 115.7
18.0 19.8 21.6 23.4
66.34 78.90 92.46 107.0
17.5 19.3 21.0 22.8
61.84 73.55 86.18 99.73
15 9 17 5 19.1 20.7
49.34 58.67 68.74 79.53
100 110 120 130
8
50
Note: No allowance has been made for age, difference In diameter, or any abnormal c o n d ~ t ~ oof n ~nter~or surface. Any factor of safety must be estimated from the local conditions and the requirements of each Particular installation It is recommended that for most commercial design purposes a safety factor of 15 to 20% be added to the values in the tables-see page 3-5.
Type K tubing
Note: No allowance has been made for age, difference in d~ameter,or any abnormal condition of ~nterior surface. Any factor of safety must be estimated from the local conditions and the requirements of each particular installation. It IS recommended that for most commerc~aldesign purposes a safety factor of 15 to 20% be added to the values in the tables-see page 3-5.
INGERSOLLRAND
CAMERON HYDRAULIC DATA Friction of Water (Continued)
Friction of Water (Continued)
(Based on Darcy's Formula)
(Based on Darcy's Formula)
Copper Tubing-*S.P.S.
Copper Tubing-'S.P.S.
Copper and Brass Pipe
21/2
2 lnch
Flow
-
US gal per rnln
Type L t u b ~ n g
Type M t u b ~ n g
Pipe
1 959" ~ n s ~ dd e~ a 083" wall thk
1.985" ~ n s ~ d e~ a .070" wall thk
2.009' ~ n s ~ d e~ a 058' wall thk
2 062" Inside d ~ a .1565' wall thk
Veloc~ty ftisec
Head loss WlOO fl
Veloc~ty ft:sec
Head loss W100 fl
Veloc~ty ft!sec
Head loss f11100 ft
Veloclty ftssec
Type L tubing
Type K t u b ~ n g
Type K t u b ~ n g
Flow -
Head loss WlOO ft
US gal per mln
Type M tu b ~ n g
*
Pipe
-
2.435" i n s ~ d ed ~ a .095" wall thk
2.465" ~ n s ~ d e~ a .080" wall thk
2.495" i n s ~ d ed ~ a .065" wall thk
2.500" ~ n s ~ dd e~ a 1875" wall thk
US gal per mln
Veloc~ty ftlsec
Head loss ft/100 A
Head loss tt1100 A
Head loss W100 ft
Head loss f11100 A
U S gal per rnln
Flow
Veloc~ty ftlsec
Veloc~ty ftisec
Veloc~ty ftlsec
Flow -
1.34 1.68 2.02 2.35 2.69 3.02
0.35 0.52 0.72 0.94 1.19 1.47
1.31 1.64 1.97 2.30 2.62 2.95
0.33 0.49 0.68 0.89 1.13 1.39
1.31 1.63 1.96 2.29 2.61 2.94
0.33 0.49 0.67 0.88 1.12 1.38
20 25 30 35 40 45
1.88 2.61 3.43 4.36 5.39 6.52
3.36 4.03 4.70 5.37 6.04 6.71
1.77 2.46 3.24 4.12 5.08 6.15
3.28 3.93 4.59 525 5.90 6.55
1.68 2.32 3.06 3.88 4.80 5.80
3.26 3.92 4.57 5.22 5.88 6.53
1.66 2.30 3.03 3.85 4.75 5.74
50 60 70 80 90 100
7.58 8.27 8.96 9.65
7.74 9.06 10.46 11.97
7.38 8 05 8.73 9.40
7.30 8.54 9.87 11.28
7.21 7.86 8.52 9.18
6.89 8.05 9.31 10.64
7.19 7.84 8.49 9.14
6.82 7.98 9.22 10.54
110 120 130 140
150 160 170 180 190
10.35 11.0 11.7 12.4 13.1
13.56 15.24 17.01 18.87 20.81
10.1 10.8 11.4 12.1 12 8
12.78 14.36 16.03 17.79 19.62
9.83 10.5 11.1 11.8 12.5
12.06 13.55 15.12 16.78 18.51
9.79 10.45 11.1 11.8 12.4
11.94 13.42 14.98 16.61 18.33
150 160 170 180 190
200 220 240 260 280
13.8 15.2 16.5 17.9 19.3
22.85 27.18 31.84 36.85 42.19
13.4 14.8 16.1 17.5 18.8
21.54 25.61 30.01 34.73 39.76
13.1 14.4 15.7 17.1 18.4
20.31 24.16 28.31 32.75 37.50
13.1 14.4 15.7 17.0 18.3
20.12 23.93 28.03 32.44 37.13
200 220 240 260 280
300 320 340 360 380
20.7 22.1 23.4 24.8 26.2
47.86 53.86 60.18 66.83 73.80
20.1 21.5 22.8 24.2 25.5
45.10 50.75 56.71 62.97 69.54
19.7 21.0 22.3 23.6 24.9
42.53 47.86 53.48 59.38 65.57
19.6 20.9 22.2 23.5 24.8
42.12 47.40 52.96 58.81 64.94
300 320 340 300 380
400 420 440 460 480
27.6 29.0 30.3 31.7 33.1
81.09 88.70 96.62 104.9 113.4
26.9 28 2 29 5 30.9 32 2
76.41 83.57 91.04 98.80 106.8
26.2 27.5 28.8 30 2 31.5
72.04 78.80 85.83 93.15 100.7
26.1 27.4 28.7 30 0 31.4
71.35 78.04 85.00 92.24 99.76
400 420 440 460 480
500
34.5
122.3
33 6
115.2
32 8
108.6
32 6
10 12 14 16 18
1.07 1.28 149 170 1.92
0.31 0.43 0.56 0.71 0.87
1 04 1.24 1.45 1.66 1.87
0.29 0.40 0.52 0.66 0.82
1.01 1.21 1 42 1.62 1.82
0.27 0.38 0.50 0.63 0.77
.96 1 15 1 34 1 53 1 72
0.24 0.33 0.44 0.55 0.68
10 12 14 16 18
20 25 30 35 40 45
1.38 1.72 2.07 2.41 2.76 3.10
0.37 0.55 0.76 1.00 1.26 1.56
20 25 30 35 40 45
2.13 2.66 3.19 3.73 4.26 4.79
1.05 1.55 2.15 2.82 3.58 4.42
2.07 2.59 311 3 62 4.14 4.66
0.98 1.46 2.01 2.65 3.36 4.15
2.02 2.53 3.03 3 54 4.05 4 55
0.93 1.38 1.90 2.50 3.17 3.92
1.92 2 39 2 87 3.35 3.83 4.30
0.82 1.22 1.68 2.21 2.80 3.46
20 25 30 35 40 45
50 60 70 80 90 100
3.45 4.14 4.82 5.51 6.20 6.89
50 60 70 80 90
5.32 6.39 7.45 8.52 958
5.34 7.40 9.76 12.4' 15.36
5.17 6.21 7.25 8.28 9.31
5.01 6.95 9.16 11.65 14.41
5 05 6 06 7.07 8.09 910
4.73 6.56 8.65 11.00 13.60
4.80 5.75 6.70 7.65 861
4.17 5.79 7.63 9.70 12.00
50 60 70 80 90
110 120 130 140
I00 110 120 130 140
10.65 11.71 12.78 13.85 14.9
18.58 22.07 25.84 29.88 34.18
10.4 11.4 12.4 13 4 14.5
17.43 20.71 24.25 28.04 32.07
10.1 11 1 12 1 13 1 14.2
16.45 19.55 22.88 26.45 30.26
9.57 10.5 11.5 12.5 13 4
14.51 17.24 20.18 23.33 26.69
100 110 120 130 140
150 160 170 180 190
16.0 17.0 18 1 192 20.2
38.75 43.58 48.67 54.01 59.61
15.5 16.5 17.6 18.6 19.6
36.36 40.89 45.66 50.67 55.92
15 2 16.2 17.2 18.2 19.2
34.30 38.58 43.08 47.81 52.76
14 4 15 3 16 3 17 2 18.2
30.25 34.01 37.98 42.15 46.51
150 160 170 180 190
200 210 220 230 240
21.3 22.4 23.4 24.5 25.6
65.46 71.57 77.93 84.53 91.38
20.7 217 22 8 23 8 24 8
61.41 67.14 73.10 79.29 55.72
20 2 21.2 22.2 23 2 24.3
57.94 63.34 68.96 74.80 80.86
19.2 20.1 21 .O 22 0 23 0
51.07 55.83 60.78 65.93 71.26
200 210 220 230 240
250 260 270 280 290 300
26.6 27.7 28.8 29.8 30 9 32.0
98.43 105.8 113.4 121.3 129.3 137.6
25.9 26.9 27.9 29.0 30.0 31 1
92.37 99.26 106.4 113.7 121.3 129.1
25.3 26.3 273 28.3 29.4 30.4
87.14 93.63 100.3 107.3 114.4 121.8
23.9 24 9 258 26 8 27 8 28 7
76.79 82.51 88.42 94.52 100.8 107.3
250 260 270 280 290 300
Note: No allowance has been made for age, difference In diameter, or any abnormal c o n d ~ t ~ oofn Interlor surface. Any factor of safety must be est~rnatedfrom the local c o n d ~ t ~ o nand s the requirements of each particular lnstallat~on.It is recommended that for most comrnerc~ald e s ~ g npurposes a safety factor of 15 to 20% be added to the values in the tables-see page 3-5.
Copper and Brass Pipe lnch
.
107.5
500
Note: No allowance has been made for age, difference In d~ameter,or any abnormal c o n d ~ t ~ oofn Interior surface. Any factor of safety must be est~matedfrom the local conditions and the requirements of each particular installation. It IS recommended that for most cornrnerc~ald e s ~ g npurposes a safety factor of 1 5 to 20% be added to the values in the tables-see page 3-5.
FRICTION
CAMERON HYDRAULIC DATA Friction of Water (Continued)
Friction of Water (Continued)
(Based on Darcy's Formula)
(Based on Darcy's Formula)
Copper Tubing-*S.P.S.
Copper Tubing-*S.P.S.
Copper and Brass Pipe
3% lnch
3 lnch
I Flow -
US gal per mln
Type K t u b ~ n g
2.907"~ n s ~ d e~ a 109" wall thk
1
Type L t u b ~ n g
090"wall thk
I
Copper and Brass Pipe
Type M tublng
072" wall thk
1
3.062"~ n s ~ dd e~ a ,219"wall thk Vloclty ftlsec
Type K t u b ~ n g
I
'Pipe
1 7::
ft/100 ft
Flow Flow -
Us gal Per mln
Note: No allowance has been made for age, difference in diameter, or any abnormal condition of interior surface. Any factor of safety must be estimated from the local conditions and the requirements of each particular installation. It is recommended that for most commercial design purposes a safety factor of 15 to 20% be added to the values in the tables-see page 3-5.
US gal per mln
Type L tubing
Pipe
Type M tublng
3.385"inside d ~ a 1 2 0 wall thk
3.425ins~ded ~ a
3 459 ins~ded ~ a ,083wall th k
Head loss ftI100 R
Head loss ill100 ft
Velocity ftlsec
Head loss ill100 ft 0.49 0.64 0.81 1.00
2.00 2.33 2.66 3.00
0.46 0.60 0.77 0.95
60 70 80 90
1.21 1.43 1.68 1.93 2.21
3.33 3.67 4.00 4.33 4.66
1.14 1.35 1.58 1.83 2.09
I00 110 120 130 140
Veloc~ty ttlsec
.loo"wall thk
Veloc~ty ftlsec
3.500 ~ n s ~ ddia e .250wall thk Velocity ftlsec
Head loss ill100 R
Flow
-
US gal per mln
60 70 80 90
2.14 2.49 2.84 3.20
0.54 0.71 0.90 1.11
2.09 2.44 2 78 3.13
0.51 0.67 0.85 1.05
2 05 2.39 2.73 3.07
100 110 120 130 140
3.56 3.92 4.26 4.62 4.98
1.34 1.59 1.86 2.15 2.45
3.48 3.82 4.18 4.52 4.87
1.27 1.50 1.76 2.03 2.32
3.41 3.76 4.10 4.45 4.79
150 160 170 180 190
5.34 5.69 6.05 6.40 6.76
2.78 3.12 3.48 3.86 4.25
5.21 5.56 5.91 6.26 6.60
2.62 2.95 3.29 3.64 4.02
5.12 5.46 5.80 6.16 6.49
2.50 2.81 3.14 3.48 3.83
5.00 5.33 5.66 6.00 6.33
2.36 2.66 2.96 3.28 3.62
150 160 170 180 190
200 220 240 260 280
7.11 7.82 8.54 9.25 9.95
4.67 5.54 6.49 7.50 8.58
6.95 7.65 8.35 9.05 9.74
4.41 5.24 6.13 7.09 8.11
6.82 7.51 8.19 8.87 9.55
4.20 4.99 5.85 6.76 7.73
6.66 7.33 8.00 8.66 9.33
3.97 4.72 5.52 6.39 7.30
200 220 240 260 280
'
300 350 400 450 500
10.7 12.5 14.2 16.0 17.8
9.73 12.87 16.42 20.36 24.68
10.4 12.2 13.9 15.6 17 4
9.19 12.16 15.51 19.23 23.32
10.2 11.9 13.7 15.4 17.1
8.76 11.60 14.79 18.33 22.23
10.0 11.7 13.3 15.0 16.7
8.28 10.95 13.97 17.32 20.99
300 350 400 450 500
550 600 650 700
19.6 21.4 23.1 24.9
29.39 34.47 39.92 45.75
19.1 20.9 22.6 24.4
27.76 32.56 37.71 43.21
18.8 20.5 22.2 23.9
26.46 31.04 35.94 41.18
18.3 20.0 21.6 23.3
24.99 29.31 33.95 38.89
550 600 650 700
750 800 850 900 950
26.6 28.4 30.2 32.0 33.8
51.94 58.49 65.40 72.68 80.31
26.1 27.8 29.6 31.3 33.0
49.05 55.24 61.77 68.63 75.84
25.6 27.3 29.0 30.7 32.4
46.75 52.65 58.87 65.41 72.27
25.0 26.6 28.3 30.0 31.6
44.15 49.72 55.59 61.77 68.24
750 800 850 900 950
1000 1100 1200 1300 1400
35.6 39.2 42.6 46.2 49.8
88.29 105.3 123.7 143.5 164.7
34.8 38.2 41.8 45.2 48.7
83.37 99.45 116.8 135.5 155.5
34.1 37.6 41.0 44.5 47.9
79.46 94.77 111.3 129.1 148.2
33.3 36.7 40.0 43.3 46.6
75.02 89.47 105.1 121.9 139.9
1000 1100 1200 1300 1400
Note: No allowance has been made for age, difference In diameter, or any abnormal condition of interior surface. Any factor of safety must be estimated from the local conditions and the requirements of each particular installation. It is recommended that for most commerc~aldesign purposes a safety factor of 15 to 20% be added to the values in the tables-see page 3-5.
INGERSOLLRAND CAMERON HYDRAULIC DATA Friction of Water (Continued)
Friction of Water (Continued)
(Based on Darcy's Formula)
(Based on Darcy's Formula)
Copper Tubing-*S.P.S.
Copper Tubing-*S.P.S.
Copper and Brass Pipe
5 lnch
4 lnch Type K tubing Flow
-
US gal per min
3.857" ins~dedia 1 3 4 " wall thk Velocity ftlsec
Head loss W100 fi
Type L t u b ~ n g
3.905" inside dia 1 1 0 " wall thk Veloc~ty ftisec
Head loss fVlOO ft
Copper and Brass Pipe
Type M tubing
Pipe
3.935" ~ n s ~ d dia e .095" wall thk
4 . 0 0 0 i n s ~ d edia ,250'' wall thk
Velocity ftlsec
Head loss W l 0 0 fi
Velocity ftisec
Head loss W100 n
Flow
Flow
Us gal per mln
us .
-
-
gal per
mln
Type K tubing
Type L tubing
Type M tubing
Pipe
4.805" inside dia 160" wall thk
4.875 inside dia 1 2 5 wall thk
4.907" inside dia 1 0 9 wall thk
5.063" inside dia ,250" wall thk
Velocity ftisec
Head loss fU1W ft
Velocity ftisec
Head loss fUlOO ft
Velocity ftisec
Head loss fU100 ft
Velocity ftisec
Head loss fU100 ft
Flow
US gal per min
0.68 0.80 0.94 1.08 1.23
2 64 2.90 3.16 3.42 3.69
0.65 0.77 0.90 1.04 1.19
2.55 2.81 3.06 3.31 3.57
0.60 0.71 0.83 0.96 1.10
100 110 120 130 140
150 160 170 180 190
2.64 2.82 3.00 3.17 3.35
0.52 0.58 0.65 0.72 0.79
2.58 2.75 2.92 3 09 3.26
0.48 0.54 0.60 0.67 0.74
2.53 2.70 2.87 3.04 3.21
0.47 0.52 0.58 0.65 0.71
2.38 2.54 2.70 2.86 3.02
0.40 0.45 0.50 0.56 0.61
150 160 170 180 190
4.28 4 55 4 81 5.08
1.40 1.57 1.75 1.94 2.14
3.95 4.21 4 48 4.74 5.00
1.35 1.51 1.69 1.87 2.06
3.83 4.08 4.33 4.58 4.84
1.25 1.39 1.56 1.73 1.91
150 160 170 180 190
200 220 240 260 280
3.53 3.88 4.24 4.59 4.94
0.87 1.03 1.20 1.39 1.59
3 44 3 78 4.12 4.46 4.81
0.81 0.96 1.12 1.30 1.48
3.38 3.72 4.05 4.39 4.73
0.78 0.93 1.09 1.26 1.43
3.18 3.50 3.81 4.14 4.45
0.67 0.80 0.94 1.08 1.23
200 220 240 260 280
2.49 2.96 3.46 4.00 4.57
5.35 5 89 6.42 6.95 7.49
2.35 2.79 3.26 3.77 4.31
5.27 5.80 6.32 6.85 7.38
2.26 2.68 3.14 3.63 4.15
5.10 5.61 6.12 6.63 7.14
2.09 2.48 2.90 3.36 3.84
200 220 240 260 280
300 350 400 450
5.29 6.17 7.05 7.94
1.80 2.38 3.03 3.75
5.15 6.01 6.87 7 73
1.68 2.22 2.82 3.49
5.07 5.91 6.75 7.60
1.63 2.15 2.73 3.39
4.76 5.56 6.35 7.15
1.40 1.85 2.35 2.91
300 350 400 450
8.24 9.60 11 0 12.4 13 7
5.18 6.85 8.74 10.83 13.12
8.02 9.36 10.7 12.0 13.4
4.88 6.46 8.23 10.20 12.36
7.90 9.22 10.5 11.9 13 2
4.70 6.22 7.93 9.83 11.91
7.65 8.92 10.2 11.5 12.8
4.35 5.75 7.33 9.08 11.00
300 350 400 450 500
500 550 600 650 700
8.81 9.70 10.6 11.5 12.4
4.54 5.40 6.32 7.32 8.37
8.59 9.45 10.3 11.2 12.0
4.23 5.03 5.90 6.82 7.81
8.45 9 29 10.1 11.O 11.8
4.10 4.88 5.71 6.61 7.57
7 95 8.75 9.54 10.3 11.1
3.53 4.19 4.91 5.68 6.50
500 550 600 650 700
550 600 650 700 750
15.1 16.5 17.9 19.2 20.6
15.61 18.31 21.19 24.28 27.55
14.7 16.0 17.4 18.7 20.1
14.71 17.24 19.96 22.86 25.95
14.5 15.8 17.1 18.4 19.8
14.17 16.61 19.23 22.03 25.00
14.1 15.3 16.6 17.9 19.1
13.09 15.35 17.77 20.35 23.09
550 600 650. 700 750
750 800 850 900 950
13.2 14.1 15.0 15.9 16.8
9.50 10.69 11.94 13.26 14.64
12.9 13.7 14.6 15.5 16.3
8.86 9.97 11.13 12.36 13.67
12.7 13.5 14.4 15.2 16.1
8.58 9.65 10.79 11.98 13.22
11 9 12.7 13.5 14.3 15.1
7.38 8.30 9.27 10.29 11.36
750 800 850 900 950
800 850 900 950 1000 1100
22.0 23.3 24.7 26 1 27.4 30.2
31.01 34.67 38.51 42.54 46.76 55.74
21.4 22.8 24.1 25.4 26.8 29.4
29.21 32.65 36.27 40.06 44.03 52.48
21.1 22.4 23.7 25.0 26.4 29.0
28.14 31.46 34.94 38.60 42.42 50.56
20.4 21.7 23.0 24.2 25.5 28.1
25.99 29.05 32.27 35.64 39.17 46.69
800 850 900 950 1000 1100
1000 1100 1200 1300 1400
17.6 19.4 21.2 22.9 24.7
16.08 19.16 22.48 26.04 29.85
17.2 18.9 20.6 22.4 24.0
14.99 17.86 20.95 24.27 27.82
16.9 18.6 20.3 22.0 23.7
14.52 17.30 20.30 23.51 26.95
15.9 17.5 19.1 20.6 22.2
12.48 14.86 17.44 20.20 23.15
1000 1100 1200 1300 1400
1200 1300 1400
32.9 35.7 38.4
65.45 75.89 87.05
32.1 34.8 37.4
61.62 71.45 81.95
31.6 34.2 36.9
59.37 68.83 78.95
30.6 33.1 35.7
54.82 63.55 72.89
1200 1300 1400
1500 1600 1800 2000 2200
26.4 28.2 31.8 35.3 38.8
33.89 38.18 47.46 57.68 68.82
25.8 27.5 30.9 34.4 37.8
31.59 35.59 44.23 53.75 64.13
25.4 27.0 30.4 33.8 37 2
30.60 34.47 42.85 52.06 62.12
23.8 25.4 28.6 31.8 35.0
26.28 29.60 36.79 44.70 53.32
1500 1600 1800 2000 2200
1500 1600 1800 2000 2200
41.1 43 9 49.4 54.9 60.4
98.23 111.5 138.8 168.9 201.7
40.1 42.8 48.1 53 5 58.9
93.13 105.0 130.6 158.9 189.8
39.5 42.1 47.4 52.7 580
89.71 101.1 125.8 153.1 182.8
38.3 40.8 45.8 51.0 56.1
82.82 93.34 116.1 141.3 168.7
1500 1600 1800 2000 2200
2400 2600 2800 3000
42.4 45.9 49.4 52.9
80.89 93.86 107.7 122.5
41.2 44.6 48.1 51.5
75.37 87.45 100.4 114.1
40 5 44 0 473 50.7
73.00 84.70 97.21 110.5
38.1 41.4 44.5 47.6
62.65 72.69 83.42 94.84
2400 2600 2800 3000
100 110 120 130 140
2 74 302 3 29 3.57 3.84
0.72 0.85 0.99 1.15 1.31
150 160 170 180 190
4.11 4.39 4.66 4.94 5.21
1.48 1.67 1.86 2.06 2.27
200 220 240 260 280
5.49 6.04 6.59 7.14 7.69
300 350 400 450 500
2.68 2.94 3.21 348
::::1
Note: No allowance has been made for age, difference in diameter, or any abnormal condition of interior surface. Any factor of safety must be estimated from the local conditions and the requirements of each particular installation. It is recommended that for most commercial design purposes a safety factor of 15 to 20% be added to the values in the tables-see page 3-5.
Note: No allowance has been made for age, difference in diameter, or any abnormal condit~onof Interior surface. Any factor of safety must be estimated from the local conditions and the requirements of each particular installation. It is recommended that for most commercial design purposes a safety factor of 15 to 20% be added to the values in the tables-see page 3-5
INGERSOLL-RAND CAMERON HYDRAULIC DATA Friction of Water (Continued)
Friction of Water (Continued) (Based on Darcy's Formula)
(Based on Darcy's Formula)
Copper Tubing-*S.P.S.
Copper Tubing-'S.P.S.
Copper and Brass Pipe
12 lnch
10 lnch Flow
-
-
US gal per mln
Type K tublng
Type K tublng
'P ~ p e
Type M t u b ~ n g
Type L tubrng
Flow
9 449 ~ n s l d ed ~ a Veloc~ty ftisec
Head loss fU100 ft
9 700 ~nslded ~ a
9 625 l n s ~ d ed ~ a Veloclty ftisec
Head loss tUlOO ft
10 020 ~ n s l d edla
-
US gal per mln
US gal per mln
Veloc~ty ftisec
Head loss it1100 tt
2 17 2 39 2 61 2 82 3 04
0.15 0.18 0.21 0.25 0.28
2 03 2 24 2 44 2 65 2 85
0.13 0.16 0.18 0.21 0.24
500 550 600 6 50 700
Type L tublng
'P ~ p e
Type M tublng
Flow
Flow
-
Head loss fU100 ft
Velocity ftlsec
Copper and Brass Pipe
11 31 5 ' ~ n s ~ d e~ a Velocity ftisec
11 565 ~ n s ~ d e~ a
Head loss fU100 ll
Veloc~ty ftisec
Head loss fU100 ft
11 617 ~ n s ~ d e~ a Veloc~ty ftlsec
Head loss ft1100 it
12 000 lnslde d ~ a Veloc~ty ftisec
Head loss ftilOO ft
-
Us gal per mln
800
2.55
0.17
2.44
0.16
242
0.15
2.27
0.13
800
750 800 850 900 950
1500 1600 1800
4.79 5.11 5 74
0.54 0.60 0.75
4.58 4.89 5.50
0.48 0.54 0.67
4.54 4.84 5.45
0.47 0.53 0.66
426 4.54 5 11
0.40 0.45 0.56
1500 1600 1800
0.46 0.50 0.59 0.68 0.78
1000 1100 1200 1300 1400
2000 2200 2400 2600 2800
6.38 7.02 7.66 8.30 8.93
0.91 1.08 1.26 1.46 1.68
6.11 6.72 7.33 7.94 8 55
0.82 0.97 1.14 1.32 1.51
6.05 6.66 7.27 7.87 8.48
0.80 0.95 1.11 1.29 1.48
5.67 6.24 6.81 7.38 7.94
0.68 0.81 0.95 1.10 1.26
2000 2200 2400 2600 2800
589 6 28 7 32 8 14 8 95
0.89 1.00 1.35 1.63 1.94
1500 1600 1800 2000 2200
3000 3500 4000 4500 5000
9.57 11.2 12.8 14.4 16.0
1.90 2.52 3.22 4.00 4.86
9.16 10.7 12.2 13.7 15.3
1.71 2.27 2.90 3.60 4.37
9.08 10.6 12.1 13.6 15.1
1.67 2.22 2.84 3.52 4.27
8.51 9 93 11.3 12.8 14.2
1.43 1.90 2.42 3.01 3.65
3000 3500 4000 4500 5000
2.66 3.08 3.53 4.01 5.32
9 77 10 6 11 4 12 2 14 2
2.28 2.63 3.02 3.42 4.55
2400 2600 2800 3000 3500
5500 6000 6500 7000 7500
17.5 19.1 20.7 22.3 23.9
5.79 6.80 7.88 9.04 10.27
16.8 18.3 19.9 21.4 22.9
5.21 6.11 7.09 8.13 9.23
16.6 18.2 19.7 21.2 22.7
5.10 5.98 6.93 7.95 9.03
15.6 17 0 18.4 19.6 21 3
4.35 5.11 5.92 6.79 7.71
5500 6000 6500 7000 7500
17 4 19 5 21 7 23 9 26 1
6.80 8.45 10.26 12.24 14.38
16 3 18 3 20 3 22 4 24 4
5.81 7.22 8.77 10.45 12.28
4000 4500 5000 5500 6000
8000 8500 9000 9500 10,000
25.5 271 28 7 303 31.9
11.57 12.95 14.39 15.91 17.50
24.4 26.0 27.5 29.0 30.5
10.40 11.64 12.94 14.31 15.73
24 2 25 7 27 2 28.8 30.7
10.18 11.39 12.66 14.00 15.39
22 7 24 1 25.5 270 28.4
8.69 9.72 10.81 11.95 13.14
8000 8500 9000 9500 10,000
17.32 19.87 22.59 25.46 28.50
28 2 30 4 32 6 34 7 36 9
16.68 19.13 21.75 24.52 27.44
26 4 28 5 30 5 32 6 34 6
14.24 16.33 18.56 20.92 23.42
6500 7000 7500 8000 8500
10,500 11,000 11,500 12,000 12,500
33.5 35 1 36 7 38.3 39.9
19.17 20.90 22.70 24.57 26.51
32.1 33.6 35 1 36.7 38 2
17.23 18.78 20.40 22.08 23.83
31.8 33.3 34.8 36.3 37 8
16.85 18.38 19.96 21.60 23.31
29 8 31 2 32 6 34.0 35 5
14.39 15.69 17.04 18.44 19.89
10,500 11.000 11,500 12.000 12,500
31.70 35.06 38.57
39 1 41 2 43 4
30.52 33.75 37.14
36 6 38 7 40 7
26.05 28.80 31.69
9000 9500 10,000
13,000 14,000 15.000
41 5 44.7 47.9
28.52 32.75 37.25
39.7 42.8 45 8
25.63 29.43 33.47
39.4 42 4 45.4
25.08 28.79 32.75
36 9 39 7 42.6
21.40 24.57 27.94
13.000 14.000 15.000
500 550 600 650 700
229 2 52 2 75 2 97 3 20
0.18 0.21 0.24 0.28 0.32
221 2 43 2 65 2 87 3 09
0.16 0.19 0.22 0.26 0.29
750 800 850 900 950-
3 43 3 66 3 89 4 12 435
0.36 0.41 0.46 0.51 0.56
3 31 3 53 3 75 3 97 419
0.33 0.37 0.42 0.46 0.51
3 26 3 47 3 69 3 91 413
0.32 0.36 0.40 0.45 0.49
3 05 3 26 3 46 3 66 387
0.27 0.31 0.34 0.38 0.42
1000 1100 1200 1300 1400
4 56 5 03 5 49 5 95 641
0.61 0.73 0.85 0.99 1.13
4 41 4 48 5 29 5 73 617
0.56 0.67 0.78 0.90 1.03
4 34 4 78 5 21 5 64 608
0.54 0.64 0.75 0.87 1.00
4 07 4 32 4 71 5 10 550
1500 1600 1800 2000 2200
6 86 7 32 8 24 9 15 10 1
1.28 1.44 1.79 2.17 2.58
6 61 7 06 7 94 8 82 9 70
1.17 1.32 1.63 1.98 2.36
6 51 6 95 7 82 8 68 9 55
1.13 1.27 1.57 1.91 2.27
2400 2600 2800 3000 3500
11 0 11 9 12 8 13 7 16 0
3.02 3.50 4.01 4.55 6.04
10 6 11 5 12 3 132 15 4
2.76 3.20 3.67 4.16 5.52
10 4 11 3 12 2 13 0 15 2
4000 4500 5000 5500 6000
18 3 206 22 9 25 2 27 5
7.72 9.60 11.66 13.91 16.34
17 6 19 8 22 0 24 3 26 5
7.06 8.78 10.66 12.71 14.93
6500 7000 7500 8000 8500
29 7 32 0 34 3 36 6 38 9
18.95 21.74 24.71 27.86 31.19
28 7 30 9 33 1 35 3 37 5
9000 9500 10 000
41 2 43 5 45 6
34.69 38.37 42.22
39 7 41 9 44 I
p~
-
Note: No allowance has been made for age, dlfference In diameter, or any abnormal condltlon of Interlor surface Any factor of safety must be estimated from the local condltlons and the requlrernents of each particular ~nstallation.It IS recommended that for most commerc~aldesign purposes a safety factor of 15 to 20°h be added to the values In the tables-see page 3-5
-
Note: No allowance has been made for age, d~fferenceIn diameter, or any abnormal condition of Interior surface. Any factor of safety must be estimated from the local conditions and the requlrernents of each part~cularinstallation. It is recommended that for most commercial d e s ~ g npurposes a safety factor of 15 to 2OoA be added to the values in the tables-see page 3-5.
FRICTION
INGERSOLL-RAND CAMERON HYDRAULIC DATA
Friction Loss for Viscous Liquids (Continued)
Friction Loss for Viscous Liquids
(Based on Darcy's Formula)
(Based on Darcy's Formula)
Loss in Feet of Liquid per 1000 Feet of Pipe 1% lnch (1.610" inside dia) Sch 40 New Steel Pipe
Loss in Feet of Liquid per 1000 Feet of Pipe 1 lnch (1.049" inside dia) Sch 40 New Steel Pipe Kinematic viscosity-centistokes
-
Flow US nal
Bbl ner
0.6
1.1
2.1
2.7
4.3
7.4
10.3
13.1
15.7
206
Approx SSU viscosity
Kinematic viscosity-centistokes
- 26.4
Flow
US gal per min
Bbl per h r (42 gal)
32.0
43.2
65.0
108.4 Approx
. 125
I
I
I
1
I
I
1
150
1
200
1
300
1
500
162.3
216.5
325
435
650
SSU viscosity
1
750
1
1000
I
1500
I
2000
I
3000
For t h ~ spipe size: V = 0.1576 x gpm; h, = 0.000385gpm2. Figures in shaded area are laminar (viscous) flow. For velocity data see page 3-15 .
Calculations on pages 3-48to 3-88are by lngersoll-Rand CO. For velocity data see page 3-14. Note: No allowance has been made for age, d~fferencein diameter, or any abnormal condition of interior surface. Any factor of safety must be estimated from the local conditions and the requirements of each particular installation. It is recommended that for most commercial design purposes a safety factor of 15 t o 20°/0 be added to the values in the tables-see page 3-5.
Note: No allowance has been made for age, difference in diameter, or any abnormal cond~tionof interior surface. Any factor of safety must be estimated from the local conditions and the requirements of each Particular installation. It is recommended that for most commercial design purposes a safety factor of 15 to 20% be added to the values in the tables-see page 3-5.
FRICTION
INGERSOLLRAND CAMERON HYDRAULIC DATA
Friction Loss for. Viscous Liquids (Continued)
Friction Loss for Viscous Liquids (Continued)
(Based on Darcy's Formula)
(Based on Darcy's Formula)
Loss in Feet of Liquid per 1000 Feet of Pipe 2 lnch (2.067" inside dia) Sch 40 New Steel Pipe
Loss in Feet of Liquid per 1000 Feet of Pipe 2 lnch (2.067" inside dia) Sch 40 New Steel Pipe
Klnematlc vlscoslty-cent~stokes Flow
Flow 2.1 .
-
I
~ a l
- .
per
I
2.7
4.3
7.4
10.3
13.1
15.7
26 4
20.6
US gal per mln
Approx SSU viscosity
For this pipe size: V = 0.0956 x gpm; h, = 0.000142 gpm2. Figures in shaded area are laminar (viscous) flow. For velocity data see page 3-16.
Note: No allowance has been made for age, difference in diameter, or any abnormal condition of interior surface. Any factor of safety must be estimated from the local conditions and the requirements of each particular installation. It is recommended that for most commercial design purposes a safety factor of 15 to 20% be added to the values in the tables-see page 3-5.
I
Bbl per hr (42 gal)
32.0
65.C
43 2
Approx 125
150
200
1
300
162.3
108 4
(
500
216.5
325
435
650
SSU viscosity
1
750
1
1000
1
1500
1
2000
1
3000
Loss In lb per sq in = ,433 (sp gr) (flgures from table). Flgures in shaded area are laminar (VISCOUS) flow. For veloclty data see page 3-16.
Note: No allowance has been made for age, difference in diameter, or any abnormal condition of interior surface. Any factor of safety must be estimated from the local conditions and the requ~rementsof each particular installation. It is recommended that for most commercial design purposes a safety factor of 15 to 20% be added to the values in the tables-see page 3-5.
CAMERON HYDRAULIC DATA Friction Loss for Viscous Liquids (Continued)
Friction Loss for Viscous Liquids (Continued)
(Based on Darcy's Formula)
(Based on Darcy's Formula)
Loss in Feet of Liquid per 1000 Feet of Pipe 2% lnch (2.469" inside dia) Sch 40 New Steel Pipe
Loss in Feet of Liquid per 1000 Feet of Pipe 2% lnch (2.469 inside dia) Sch 40 New Steel Pipe
Kinematic viscosity-centistokes
K~nematlcv~scos~ty-centstokes Flow
-
Per hr (42 gal)
Approx SSU viscosity
31.5
33
35
40
50
60
70
80
100
US gal per mln
Bbl per hr (42 gal)
1
2 4 6 8
1.4 29 57 86 114
10 12 14 16 18
26.4
32 0
43 2
125
150
200
65 0
300
108.4
1623
216 5
325
435
650
1500
2000
3000
6.52 17.0 22.1 33.1 44.1
7.38 14.8 29.5 44.3
11.0 22.0 44.1 66.2
Approx SSU v~scos~ty
3.58
.54 1.09 2.17 3.28 4.34
14.3 17 1 200 22.8 257
4.48 5.38 6.27 7.16 8.06
5.43 6.51 7.60 8-68 Q.77
20 25 30 35 41,
286 35 7 42.9 50.0 57 1
8.96 11.2 13.4 15.7 17.9
45 50 60 70 80
64.3 71.4 85.7 100 114
33.0 392 54.0 70 0 87.7
.45 .90 1.79
2.W
70.9 13.6 16-3 19.0
27.7
.73 1.47
293 4.40 $87
7.33 8.80 10.3 11.7 13.2
500
750
1.84 3.68 7.36 11.0 14.7
2.75 5.50 11.0 16.5 22.0
11.0 73.2 15.4 17.6 19.8
18.4 22.1 25.7 a.4 XI.1
27.5 33.0 38.5 44.0 49.5
36.7
22.0
36.8 46.0
55.0
73.4 91.8 170 129 147
1.10 2.20 4.41 6.82 8.32
14.7 18.3 22*0 25.6 29.3
27.6 33,l 38.6 44.2
33.0 36.6 44.0 51.3
49.6 55.2 66.2 77.2
88.8
55.2
82.5 96.3
64.4 73.6
116
1000 3.67 7.35 14.7
22.0 29.4 44.1 5f.4 58.8 66.1
55.2 66.2 77.2 83,2 99.3
293
332 383
885
101
88.3
220
244
129 143 157 171 186
110 130 154 180 206
115 137 164 188 216
125 148 176 205 232
99.3 110
1 184
248 275
330
497
202
305 330 358
367 403
552
197 226 263
447 477
662
574 551
772 827 882 937 993
221 239
190 200 220 240 260
271 286 314 343 371
233 258 310 367 429
243 269 322 381 445
260 286 343 404 470
265 292 351 416 482
280 308 369 436 505
306 334 400 469 543
140 150 160 170 180
200 214 228 243 257
234 265 296 328 364
247 279 312 345 384
267 305 338 373 412
299 333 374 415 461
257 276 29rl 312
280 300 320 340 360
400 429 457 486 514
497 568 643 725 809
513 586 663 745 835
540 617 695 776 866
556 632 716 800 892
580 659 747 839 936
630 705 799 894 994
190 200 220 240 260
271 286 314 343 371
403 438 522 612 71 1
420 457 540 633 732
454 493 586 682 782
514 550 658 760 867
587 628 752 866
385 413 440 468 495
530
765 f&Q
220
257
588 624 661
523 550 605
698
660
881 955
715
133
221
90 100 110 120 130
110
124 138 165 193
118
148 185 222 258
129 147
56.5 73 5 93.4
82.8 92.0
73.8
BB.8 103
110 138 165 193
248 276 331 3B6 441
24.4 27,2
.
#7 717
443 517 591
88.2 110 132 154 176 $98
220 276 331 386 r141 496
551 662 772 882
738
812 686 960
734
808
i
Forthis pipe size: V = 0.0670 x gpm; h, = 6.97 x Figures in shaded area are laminar (viscous) flow. For velocity data see page 3-17.
x gpm2.
Note: No allowance has been made for age, difference in diameter, or any abnormal condition of interior surface. Any factor of safety must be estimated from the local conditions and the requirements of each particular installation. It is recommended that for most commercial design purposes a safety factor of 15 to 20% be added to the values in the tables-see page 3-5.
Loss in lb per sq In = ,433(sp gr) (figures in table). Figures in shaded area are laminar (viscous) flow. For velocity data see page 3-17. Note: No allowance has been made for age, difference in diameter, or any abnormal condition of interior surface. Any factor of safety must be estimated from the local condit~onsand the requirements of each particular installation. It is recommended that for most commercial design purposes a safety factor of 15 to 20% be added to the values in the tables-see page 3-5.
INGERSOLL-RAND CAMERON HYDRAULIC DATA
Friction Loss for Viscous Liquids (Continued)
Friction Loss for Viscous Liquids (Continued) (Based on Darcy's Formula)
(Based on Darcy's Formula)
Loss in Feet of Liquid per 1000 Feet of Pipe 3 lnch (3.068" inside dia) Sch 40 New Steel Pipe
Loss in Feet of Liquid per 1000 Feet of Pipe 3 lnch (3.068" inside dia) Sch 40 New Steel Pipe
--
K~nemat~c v~scos~ty-cent~stokes
Flow
US gal per mln
Bbl per hr(42 gal)
8 10 15 20 25
11 4 14 3 21 4 28 6 35 7
30 35 40 50 60
42 9 50.0 57 1 714 857
FRICTION
6
11
21
27
43
74
103
131
157
206
60
70
80
100
Approx SSU vlscoslty
315
33
35
40
50 .42
.59 .73
.?4
.89 1.11 1.67 2.23 2.79
1.18 1.47
22 32 70 1 12 1 69
25 37 76 1 27 1 93
29 43 89 1 47 2 23
32 .47 94 1 57 2 31
.24 54 107 1 78 2 61
79 2 07 3 01
1.10 1.46 3 29
2.33
2 36 3 13 4 03 610 857
2 64 3 48 4 42 6.70 932
2 99 3.97 5 02 750 104
3 22 4 21 5 29 793 110
3 60 4 66 5 90 876 120
4 12 5 41 6 80 101 137
4 50 5 89 7 46 109 15.0
4 83 6 35 7 93 117 160
661 8 37 123 168
4.40 5.13 5.87 132 180
.a
.93 1.40 1.86
3.35
2.20 2.93
3.66
70 80 90 100 120
100 114 129 143 171
115 147 184 224 31.8
124 159 199 242 341
138 175 218 263 369
145 184 228 275 386
159 203 25.0 302 419
180 229 280 337 468
196 246 304 364 505
209 264 324 390 53.4
219 27.7 338 408 564
236 298 363 436 600
140 160 180 200 225
200 228 257 286 322
424 54 8 690 847 107
456 58 0 727 889 112
494 63.3 787 957 120
509 65 4 816 994 124
554 70 4 872 106 132
655 79 1 972 117 145
66.0 83.8 104 125 155
700 87 9 109 131 164
732 92 3 114 137 169
786 98 2 122 146 180
250 275 300 325 350
357 393 429 464 500
131 158 187 218 253
137 164 193 225 260
147 175 204 238 275
151 180 212 247 283
160 191 225 261 300
175 208 244 283 324
188 226 260 300 344
195 233 273 316 361
204 243 281 325 373
218 258 298 345 396
375 400 425 450 475
536 571 607 643 679
288 328 368 410 457
298 339 381 427 473
314 354 397 443 493
322 363 407 455 504
341 385 432 480 532
367 414 463 515 571
388 436 488 543 599
407 458 511 568 625
424 476 529 587 646
448 498 550 619 681
500 525 550 575 600
714 750 786 822 857
504 555 606 663 721
524 574 627 685 742
544 597 651 708 767
555 609 665 723 783
587 644 703 761 820
627 688 748 814 882
658 720 783 852 919
684 748 814 886 960
707 770 838 912 989
750 821 890 962
For this pipe size: V = 0.0434 x gpm; h, = 2.923-' x gpm2 Figures in shaded area are laminar (viscous)flow. For velocity data see page 3-18.
Note: No allowance has been made for age, difference in diameter, or any abnormal condition of interior surface. Any factor of safety must be estimated from the local conditions and the requirements of each particular installation. It is recommended that for most commercial design purposes a safety factor of 15 to 20% be added to the values in the tables-see page 3-5.
Figures in shaded area are laminar (viscous) flow. For velocity data see page 3-18.
Note: No allowance has been made for age, difference in diameter, or any abnormal condition of interior surface. Any factor of safety must be estimated from the local conditions and the requirements of each Particular installation. It is recommended that for most commercial design purposes a safety factor of 15 to 20% be added to the values in the tables-see page 3-5.
FRICTION
INGERSOLL-RAND CAMERON HYDRAULIC DATA Friction Loss for Viscous Liquids (Continued)
Friction Loss for Viscous Liquids (Continued)
(Based on Darcy's Formula)
(Based on Darcy's Formula)
Loss in Feet of Liquid per 1000 Feet of Pipe 3% lnch (3.548" inside dia) Sch 40 New Steel Pipe
Loss in Feet of Liquid per 1000 Feet of Pipe 3% lnch (3.548 inside dia) Sch 40 New Steel Pipe Flow
US gal per mln
For this pipe size: V = 0.03245 x gpm; h, = 1.634 x Figures in shaded area are laminar (viscous)flow. For velocity data see page 3-19.
gpm2.
Note: No allowance has been made for age, difference in diameter, or any abnormal condition of interior surface. Any factor of safety must be estimated from the local conditions and the requirements of each particular installation. It is recommended that for most commercial design purposes a safety factor of 15 to 20% be added to the values in the tables-see page 3-5.
Bbl per hr (42 gal)
Kinematic viscosity-centistokes 216.5
.
325
435
Approx SSU viscosity 125
150
Loss in Ib per sq in = ,433 (sp gr) (figures in table). Figures in shaded area are laminar (viscous) flow. For velocity data see page 3-19.
Note: No allowance has been made for age, difference in diameter, or any abnormal condition of interior surface. Any factor of safety must be estimated from the local conditions and the requirements of each Particular installation. It is recommended that tor most commercial design purposes a safety factor of 15 to 20% be added to the values in the tables-see page 3-5.
INGERSOLL-RAND CAMERON HYDRAULlC DATA Friction Loss for Viscous Liquids (Continued)
Friction Loss for Viscous Liquids (Continued)
Loss in Feet of Liquid per 1000 Feet of Pipe 4 lnch (4.026 inside dia) Sch 40 New Steel Pipe
Loss in Feet of Liquid per 1000 Feet of Pipe 4 lnch (4.026" inside dia) Sch 40 New Steel Pipe
(Based on Darcy's Formula)
(Based on Darcy's Formula)
K~nemat~c v~scoslty-centtr okes
-
- 264
Flow US gal per mln
Bbl per hr (42 gal)
15 20 30 40 50
21 4 28 6 429 57 1 71 4
lo4
gpm2.
Note: No allowance has been made for age, difference in diameter, or any abnormal condition of interior surface. Any factor of safety must be estimated from the local conditions and the requirements of each particular installation. It is recommended that for most commercial design purposes a safety factor of 15 to 20% be added to the values in the tables-see page 3-5.
432
650
2165
1623
1084
125
150
200
435
650
500
750
1000
1500
2000
3000
3.91 5.21 7.82 10.4 13.0
5.85 7.80 11.7 15.8 79.5
7.80 10.4 15.6 20.8 26.0
11.7 15.6 23.4 31.2 39.0
15.7 20.8 31.3 41.8 52.2
23.4 31.2 46.8
23.4 27.3 31.2 35.1 39.0
31.2
46.8 54.6 82.4
62.7 73.2 83.6
15.6
15.6 18.2 20.8 23,4 2&0
48.8 52.0
70.2 78,O
91.1 705
125 141 15%
93.7
72.8 83.2 93.6 I#
125 146 $67 188 209
187 218 250 281 372
230
343
251 2032 292 313
437 488
300
"95 1.27 1.90 2.54 3.17
1.15 1.54 2.30 3.08 3.84
1.55 2.07 3.11 4.15 5.78
3.80
4.61
4.44
5.38 6.15
9.37 10.9 125 14.1
2.34
3.12 4.08 6.25 7.81
1
85 7 100 114 129 143
881 108 12 9
11.3 13 7
6.22 7.25 8.29 9.33 10.4
120 140 160 180 200
171 200 228 257 286
17 6 22.9 29.0 35.5 426
18 6 24 3 303 37 4 45.0
20.3 26.5 332 40 7 487
18.8 21.9 25.0
31,2 36.4 41.7
45 7 548
4B.g 52.1
48.8 54.6 82.4 70.2 78.a
220 240 260 280 300
314 343 371 400 429
50 3 58 5 67 2 76 4 85 8
53 0 61 5 70.8 80 5 90.8
57 1 65 1 76.8 87.2 98.5
64.7 74.7 85.7 973 110
57-3
85.8
174
93.8
125
67.7 73.0 127
325 350 375 400 450
464 500 536 571 643
98 5 112 127 143 178
104 118 133 149 184
113 128 145 162 198
125 143 161 180 222
146 166 187 208 254
500 550 600 650 700
714 786 857 929 1000
213 252 296 338 386
221 263 305 353 402
237 280 328 378 433
265 313 364 419 474
305 360 417 480 546
---
1070 1140 1215 1285 1360
325
Approx SSU v~scoslty
60 70 80 90 100
750 800 850 900 950 For this pipe size: V = 0.0252 x gpm; h, = 9.858 x Figures in shaded area are lammar (viscous) flow. For velocity data see page 3-20.
32.0
437 490 544 603 666
62.5
488 546 608 674 743
533 570 663 739 813
616 687 763 844 927
$2.4
109
125 740 158
If2 187
35
93.7
lO@
$3
408
136 146 f58
218 254 273 293 372 351
340
508
386 932 478 470
567 585
285
t69 1SZ 195 208 234
343 404 467 528 608
280 286 507 583 663
330
523 575 gZ7 g80 732
745 830 920
585 624
101
l@ 117 127 t35 146 156
a
455 510 570 629 696
36.4 41.6
82.5 78.1
-
-
685 764 848 939
-
234
429 488 507 548
'
826
703 781 860 937
-
683
784 838 889 941
993
Loss in Ib per sq in = 433 (sp gg) (f~gures from table). Flgures In shaded area are lamlnar (VISCOUS) flow For velocity data see page 3-20.
Note: No allowance has been made for age, difference in diameter, or any abnormal condition of interior surface. Any factor of safety must be estimated from the local conditions and the requirements of each particular installation. It is recommended that for most commercial design purposes a safety factor of 15 to 20% be added to the values in the tables-see page 3-5.
INGERSOLLRAND
FRICTION
CAMERON HYDRAULIC DATA
Friction Loss for Viscous Liquids (Continued) (Based on Darcy's Formula)
Friction Loss for Viscous Liquids (Continued)
Loss in Feet of Liquid per 1000 Feet of Pipe 6 lnch (6.065" inside dia) Sch 40 New Steel Pipe
(Based on Darcy's Formula)
Loss in Feet of Liquid per 1000 Feet of Pipe 6 lnch (6.065" inside dia) Sch 40 New Steel Pipe
1 Flow
Flow
-
US nal
Bbl ner
.6
11
2.1
2.7
4.3
7.4
10.3
Klnematfc v~scos~ty-cent~stokes
-
Kinematic viscosity-centlslokes
13.1
15.7
20.6
A ~ ~ r SSU o x vlscosit~
For this pipe slze: V = 0.01 11 x gpm; h, = 1.914 x lo4 gpm2 Figures in shaded area are lamlnar (v~smus)flow. For velocity data see page 3-22.
Note: No allowance has been made for age, difference in diameter, or any abnormal condition of interlor surface. Any factor of safety must be estimated from the local conditions and the requirements of each particular installation. It is recommended that for most commerc~aldesign purposes a safety factor of 15 to 20% be added to the values in the tables-see page 3-5
US gal per mln
Bbl Per hr (42 gal)
26.4
32.0
43.2
65 0
108 4
162 3
216.5
125
150
2W
300
500
750
1000
151 227 303 379 4%
252 378 5.05 8.31 7.58
3.78 586 7.55 9.45 113
5.04 758 101 12.6 151
530 608 882 757 137
8.84 10.7 11.4 12.8 13.9
13.2 15.1 77.0 18.9 20.8
17.6 20.2 227 252
142 183 23 1 28 6 34 1
159 208 26 2 31 9 28 0
IS,Y f77 20.2 36 9 44 2
22.6 26.4 302 340 37.8
30.2 35.3 *03
369 431 50 0 57 0 644
402 464 53 4 60 8 685
446 517 59 6 68 6 768
521 591 69 4 78 8 88 5
416 153 48 1 88 3 994
68 0 839 101 120 140
72 1 885 106 125 146
76 9 952 115 136 158
85 7 105 126 148 173
14002000 16002285 18002570 2M102860 22003140
184 234 292 350 417
193 244 299 364 435
206 260 322 387 459
2400 3403 26003710 28004000 3000 4285 3200 4570
487 564 645 734 827
507 587 669 751 850
535 620 714 805 909
9 75 100 125 150
714 107 143 178 214
175 200 225 250 275
325
435
650
1500
2000
3000
789 227
101 152 203 25.3 30.4
227 302 378 454
265 303 341 378 477
35.5 405 45.6 567 $5.8
53.0 60.8 681 757 83.2
45.4
60.9
Approx SSU v~scos~ty
IW
62 .92 1.23 2 75 375
.74 112 149 186 396
1.57 2.01 2.51 301
250 286 322 357 393
4 90 610 743 891 106
5 17 651 793 943 111
5 62 707 866 104 122
300 350 400 450 500
429 500 571 643 714
123 159 20 1 24 7 300
129 171 21 3 26 0 31 3
550 600 650 700 750
786 857 929 1000 1070
356 415 47 7 54 1 608
800 900 1000 1100 1200
1140 1285 1430 1570 1715
277
757 714 15 1
63.0
151
90.8
50.4
806 882 757
91.3 107
108 121 136 151
554 60.5 65 5 M.6 75.6
833 909 9BS $06 114
112 122 132 142 152
166 182 tQ7 272 227
738 151 167 182
?62 163
203
242 27'2 302
223
333
200
60.6 148 177 208 242
j2f
136 163 192 220
243
303
230 288 350 425 510
258 323 399 481 573
287 363 452 535 628
316 393 480 576 683
353 445 543 652 771
284 324 591 707 833
424 484 545 665 868
585 677 773 667 982
668 769 874 993
730 841 954
799 913
885
968
726 787
97 8 120 I44 171
111
55.3
71.0
1
Loss In ib per sq In = 433 jsp gg) (hguros In table) F~guresIn shaded area are lam~nar(v~swuslflow velocity data see page 3-22.
or
Note. NO allowance has been made for age, difference in diameter, or any abnormal c o n d ~ t ~ oofn interior surface. Any factor of safety must be estimated from the local condtlions and the requirements of each particular installation. It is recommended that for most commercial deslgn purposes a safety factor of 15 to 2046 be added to the values in the tables-see page 3-5
INGERSOLLRAND
FRICTION
CAMERON HYDRAULIC DATA
Friction Loss for Viscous Liquids (Continued)
Friction Loss for Viscous Liquids (Continued)
(Based on Darcy's Formula)
(Based on Darcy's Formula)
Loss in Feet of Liquid per 1000 Feet of Pipe 8 lnch (7.981" inside dia) Sch 40 New Steel Pipe
Loss in Feet of Liquid per 1000 Feet of Pipe 8 lnch (7.981" inside dia) Sch 40 New Steel Pipe
Kinernat~cvlscos~ly-centlstokes Flow
32 0
26 4
US gai per mln
For thls plpe sue V = 000641 x gpm h For veloclty data see page 3 23
=
6 383
x
10
* gpm
Note No allowance has been made for age difference In diameter, or any abnormal condltlon of Interior surface Any factor of safety must be estlmated from the local condlt~onsand the requ~rementsof each particular lnstallatlon It is recommended that for most commerclal deslgn purposes a safety factor of 15 to 20% be added to the values In the tables-see page 3-5
Bbl per hr (42 gal)
43 2
65 0
108 4
1623
216 5
325
435
650
Approx SSU viscosity 125
1
150
1
XX]
1
300
1
500
1
750
1
1000
1
1500
1
2000
1
3000
LOSS In Ib per sq In = 433 jsp gr) (figures ~n table). Figures in shaded area are lamlnar (VISCOUS) flow. For veloc~tydata see page 3-23. Note. No allowance has been made for age, d~fferenceIn d~ameter.or any abnormal c o n d ~ t ~ oofn interior surface. Any factor of safety must be estimated from the local condit~onsand the requ~rementsof each Rartlcular installation. It IS recommended that for most commercial design purposes a safety factor of 15 to 20% be added l o the values in the tables-see page 3-5
INGERSOLLRAND
CAMERON HYDRAULIC DATA
I
/ I
FRICTION
Friction Loss for Viscous Liquids (Continued)
Friction Loss for Viscous Liquids (Continued) (Based on Darcy's Formula)
(Bared on Darcy's Formula)
Loss in Feet of Liquid per 1000 Feet of Pipe 10 lnch (10.02" inside dia) Sch 40 New Steel Pipe
Loss in Feet of Liquid per 1000 Feet of Pipe 10 lnch (10.02" inside dia) Sch 40 New Steel Pipe
Klnematlc v ~ s c o s ~ t y c e n t l s t o k e s
-
Flow
6
US gal per rn~n
/
Bbl per hr (42 aal)
2200 3140 2400 3430 26003710 2800 4000 4285 3000
11
27
21
74
43
103
Klnemallc viscosity-cent~stokes 131
157
206
Approx SSU v~scos~ly
. 1 3 1 5 1
33
1 3 5
1 4 0
1 5 0
1 6 0
1 7 0
1 8 0
(100
21 3 25 2 296 34 1 39 1
22 2 26 3 306 35 3 40 2
23 7 28 0 325 37 4 42 7
24 6 28 9 335 38 4 43 5
26 1 30 7 356 40 8 46 6
28 6 33 4 387 44 5 50 7
303 35 5 410 47 1 53 2
32 1 37 3 429 49 0 55 7
31 8 38 9 448 51 0 57 7
350 41 0 473 54 1 61 3
52 5 68 0 861 106 128
54 4 70 5 886 109 131
57 4 73 9 923 113 136
58 9 75 9 948 116 139
62 3 79 9 992 122 145
66 4 85 8 107 130 156
70 6 90 2 112 136 162
73 6 94 2 117 142 169
76 2 97 1 120 146 173
80 8 102 127 153 182
3500 4000 4500 5000 5500
5000 5715 6430 7145 7855
6000 6500 7000 7500 8000
8570 9280 10000 10700 11400
152 177 205 236 266
154 180 208 239 272
161 187 217 248 282
164 191 220 251 286
172 201 231 262 296
183 212 243 277 314
191 221 255 291 329
197 228 263 298 337
204 236 369 303 345
213 246 282 321 360
850012100 9000 12900 10000 14300 11000 15700 1200017150
301 337 416 503 599
307 341 422 511 603
318 354 434 522 617
321 359 441 533 630
334 372 453 544 643
352 392 478 574 679
367 407 492 593 701
378 422 511 611 719
387 429 524 626 737
403 447 542 649 763
For t h ~ splpe size V = 0 00407 x gpm h, For veloclty data see page 3 24
=
2 569 x 10
x gpm'
Note No allowance has been made for age dlfference ~n d~ameter,or any abnorrral condlllon of lnterlor surface Any factor of safety must be estlmated from the local condltlons and the requlrements of each particular ~nstallattonIt 15 recommended that for most cornmerc~aldeslgn purposes a safety factor Of 15 to 20% be added to the values rn the tables-see page 3 5
US gal per mln
Bbl per hr (42 gal)
7000 10OOO 750010700 8000 11400 9000 12900 1000014300
216.5
325
435
650
Approx SSU viscos~ty 125
296 335 377 469 567
1
150
305 347 389 482 582
I
200
326 369 414 512 619
I
300
355 402 452 557 666
1
500
396 447 505 624 743
I
750
436 492 550 679 817
1
IOW
468 529 594 729 872
I
1500
522 589 659 809 964
I
2000
566
638 710 869
1
3000
637 766 797 976
Loss in Ib per sq in = ,433 (sp gr) (ligures i n table). Figures in shaded area are laminar (viscous) flow. For veloc~tydata $88 page 924.
Note No allowance has been made for age, dlfference In d~ameter,or any abnormal condltlon of Interlor surface Any factor of safety must be estlmated from the local Condlt~onsand the requlrements of each Pafllcular lnstallat~on I t IS recommended that for most commercial desrgn purposes a safety factor of 15 to 20% be added to the values In the tables-see page 3-5
INGERSOLLRAND
FRICTION
CAMERON HYDRAULIC DATA
Friction Loss for Viscous Liquids (Continued)
Friction Loss for Viscous Liquids (Continued)
(Based on Darcy's Formula)
Loss in Feet of Liquid per 1000 Feet of Pipe 12 lnch (11.938" inside dia) Sch 40 New Steel Pipe
(Based on Darcy's Formula)
Loss in Feet of Liquid per 1000 Feet of Pipe 12 lnch (11.938" inside dia) Sch 40 New Steel Pipe
-26.4
K ~ n e m a t ~vlscos~ty-cent~stokes c
Flow
Klnematic vlscoslty-cent~stokes Flow
US gal per rnln
I
0.6 Bbl per hr (42 gal)
1 13
27
2.1
4.3
7.4
10.3
13.1
15.7
20 6
60
70
80
100
Approx SSU vlscoslty
31.5
40
35
33
50
I
3500 4000 4500 5000 5500
5000 5715 6430 7145 7855
21 8 283 35 7 44 0 53 1
22 6 292 368 45 2 54 4
23 8 307 38 5 47 I 566
24 4 315 39 4 48 2 578
26 0 333 41 6 50 7 60 7
28 3 362 45 0 54 7 65 3
30 1 384 47 7 57 8 68 9
31 6 403 49 9 60 4 71 9
32 9 418 51 7 62 6 74 4
34 9 443 54 8 66 2 78 7
6000 6500 7000 7500 8000
8570 9280 10000 10700 11400
63 0 738 854 979 111
64 5 754 872 998 113
66 9 781 901 103 117
68 3 796 918 105 119
71 6 833 959 109 124
76 8 892 102 117 132
80 9 938 108 122 138
84 3 977 112 127 143
87 2 101 116 131 148
92 1 106 122 138 155
9000 10000 11000 12000 13000
12850 14300 15700 17150 18550
141 173 209 249 291
143 176 212 252 295
147 180 217 258 301
149 183 220 261 305
155 190 228 269 314
164 200 240 283 330
172 209 250 294 342
178 217 269 304 353
183 223 266 312 363
192 233 278 326 373
14000 20000 15000 21400 1600022850 1800025700 20000 28600
338 387 440 557 687
342 392 445 561 692
348 399 453 571 703
353 403 457 577 709
363 414 469 590 725
380 433 490 614 752
394 449 507 634 775
406 462 522 651 795
416 473 534 666 812
434 493 556 692 842
For thls plpe slze v - 0 00287 x gpm h, For velocity data see page 3-25
=
1 275 x 10
x gpmL
Note No allowance has been made for age, dtfference in d~ameter,or any abnormal cond~tjonof Interlor surface Any factor of safety must be estimated from the local condlt~onsand the requ~rementsof each particular lnstallat~on It IS recommended that for most commercial des~gnpurposes a safety factor of 15 to 20% be added to the values in the tables-see page 3-5
US gal per mln
Bbl per hr (42 gal)
32 0
43.2
65.0
108.4
162 3
216 5
325
435
650
1000
1500
2000
3000
Approx SSU vlscoslty
125
150
200
100 200 300 400 500
143 286 429 571 714
.08 "16 49 81 1 22
.10 .?9 53 86 1 25
.4? 94 137
600 700 800 900 1000
857 1000 1140 1285 1430
166 215 270 3.31 3.97
171 230 2.88 3.52 422
1200 1400 1600 1800 2000
1715 2000 2285 2570 2860
543 710 8 96 110 132
2500 3000 3500 4000 4500
3570 4285 5000 5715 6430
5000 5500 6000 6500 7000 7500 8000 9000 10000 11000
300
.13
.20 .40
500
750
.34
.51
1.02
.67 1.01 1.34 1.71
1.51 2.02 2.50
1.87 2.43 3.05 3.74 448
212 275 3.45 4.21 5.04
1.97 2.37 2.63 4.93 589
577 753 9 48 116 140
633 824 10 4 127 15.2
688 896 11.3 13.8 166
196 27 2 36 2 434 576
206 28 4 37 3 473 583
224 30 8 40 3 510 628
7145 7855 8570 9280 10000
69 8 828 968 112 128
70 3 836 982 114 131
10700 11400 12850 14300 15700
145 163 202 204 290
12000 17150 13000 18550 1400020000 15000 21400 16000 22850
341 394 452 513 578
27
62
.82
1.00
3.02 3.61 4.04 4.44
5.13
.68 1.37 2.00
1.00
2.05
2.88 3.37
3.06 3.98 5.01
4.05 4.88
6.03 7.05
5.36
8.99
6.05 6.84
7.89
1.35 2.74 4.11
5.46 6.84 7.99 9.36 70.7 12.1
2.00 4.01 6.16 8.21 10.3
10.0
13.5
12.3 13.9 15.9 18.0 20.0
12.1 14.6
16.2
16.2 18.9 21.7
24.f 28.2 32.4
17.7 20.5
24.2
36.5
27.4
40.1
34.2
51.3 61.6 71.9 82.1 92.4
9.30
801 104 13.1 16.0 191
5.91 118 14.8 18.0 215
$3.47 10.5 19.7 236
253 34 6 45 2 570 69.9
280 38 4 50 2 632 776
315 43 0 56 0 705 864
343 46 8 60 9 765 936
75.6 895 104 120 137
84 1 994 116 133 152
93.3 110 128 148 174
104 122 142 164 186
112 132 154 176 201
126 148 172 197 224
138 162 '188 215 244
103 183 212 243 275
148 167 208 253 301
155 174 215 260 309
172 192 237 286 338
196 220 270 325 384
210 235 289 347 41 1
226 253 311 373 441
253 282 346 415 490
274 306 375 450 530
310 345 422 505 594
354 409 469 532 598
361 417 477 541 608
395 456 521 589 662
448 516 588 664 745
479 551 628 710 796
514 591 673 760 851
569 655 745 840 940
616 707 804 906
689 790 898
257 53 1 68 8 863 105
41.1 47.9 945 115
F~guresin shaded area are laminar (VISCOUS) flow For velocity data see page 3-25.
Note: No allowance has been made for age, difference in diameter, or any abnormal condition of interior surface. Any factor of safi?ty must be estimated from the local condlttons and the requirements of each particular installation. It is recommended that for most commercial design purposes a safety factor of 15 to 20% be added to the values in the tables-see page 3-5.
CAMERON HYDRAULIC DATA
INGERSOLLRAND
Friction Loss for Viscous Liquids (Continued)
Friction Loss for Viscous Liquids (Continued)
(Bared on Darcy's Formula)
(Based on Darcy's Formula)
Loss in Feet of Liquid per 1000 Feet of Pipe 14 Inch (13.124" inside dia) Sch 40 New Steel Pipe
Loss in Feet of Liquid per 1000 feet of Pipe 14 Inch (13.124 inside dia) Sch 40 New Steel Pipe
Kinematic v~scoslty-cent~stokes
K~nematjcv~scos~ly-cent~stokes Flow US
gal per
Bbl per hr (42
27
43
74
Flow
103
131
157
206
Approx SSU vlscos~ty
. 1315
1
33
1
35
1
40
1
50
1
60
1
70
1
80
(
100
For thls plpe slze v - 0 00237 x gpm h = 8 73 x 10 * n gpm' For veloclty data see page 3-26 Note No allowance has been made for age d~fferenceIn dlameter or any abnormal c o n d ~ t ~ oofn lnterlor surface Any factor of safety must be estlrnated from the local condltlons and the requlrements of each particular bnstallatlon It IS recommended that for most commerc!al deslgn purposes a safety factor Of 15 to 20% be added to the values In the tables-see page 3 5
US gal per min
Bbl per hr (42 gal)
. Approx SSU v~scosity 125
1
150
1
200
1
300
1
500
1
750
1
1000
1
1500
1
2000
1
3000
F~guresin shaded area are laminar (viscous) flow For veloc~tydata see page 3-26.
Note: No allowance has been made for age, difference in dlarneter, or any abnormal condition of interior surface. Any factor of safety must be estimated from the local c o n d ~ t ~ o nand s the requlrements of each Particular installation. It is recommended that for most cornrnerclal design purposes a safety factor of 15 to 20% be added to the values In the tables-see page 3-5
INGERSOLLRAND
FRICTION
CAMERON HYDRAULIC DATA
Friction Loss for Viscous Liquids (Continued)
Friction Loss for Viscous Liquids (Continued)
(Baaed on Darcy's Formula)
(Based on Darcy's Formula)
Loss in Feet of Liquid per 1000 Feet of Pipe 16 lnch (15.000" inside dia) Sch 40 New Steel Pipe
Loss in Feet of Liquid per 1000 Feet of Pipe 16 lnch (15.000" inside dia) Sch 40 New Steel Pipe
K~nemat~c v~scos~ty-centlstokes Flow
Klnematlc v~scos~ly-cenl~slokes
264
Flow US
Bbl per
gal per
hr
Approx SSU viscos~ty
(42
gal)
mln
US gal per man
1315
1
33
1
35
1
40
1
50
1
60
1
70
1
80
1
Bbl per hr (42 gall
I
I
I
I
I
I
5 116 A 10
I
I
I
I
432
650
200
300
1084
1623
2165
325
435
650
Approx SSU v~scos~ty
125
1
150
1
500
750
1000
100
20000 28600 22000 31400 2409034300 2600037100 2800040000
For thls plpe slze v - 0 00182 K gpm h. For veloclty data see page 3-26
320
I
' igpm-
Note No allowance has been made for age, difference In dlameler, or any abnormal condltlon of Interlor surface Any factor of safely must be estimated from the local condltlons and the requlremenls of each particular Installallon I1 IS recommended that for most commercial deslgn purposes a safety factor of 15 to 20% be added l o the values In the tables-see page 3-5
285 340 399 462 530
296 352 413 478 548
301 358 420 487 559
329 390 456 527 602
371 439 512 591 674
396 486 566 652 743
424 502 565 674 768
469 554 645
742 846
506 597 694 798 909
564 664 772 886
Figures In shaded area are iam~nar(VISCOUS) flow. For velocity data see page 3-26.
Note: No allowance has been made for age, d~fferencein diameter, or any abnormal cond~tionof interior surface. Any factor of safety must be estimated from the local conditions and the requirements of each palticular installation. it is recommended that for most commercial design purposes a safety factor of 15 to 20% be added t o the values in the tables-see page 3-5.
INGERSOLLRAND
CAMERON HYDRAULIC DATA
FRICTION Friction Loss for Viscous Liquids (Continued)
Friction Loss for Viscous Liquids (Continued)
(Based on Darcy'r Formula)
(Based on Darcy's Formula)
Loss in Feet of Liquid per 1000 Feet of Pipe 18 lnch (16.876 inside dia) Sch 40 New Steel Pipe
Loss in Feet of Liquid per 1000 Feet of Pipe 18 lnch (16.876" inside dia) Sch 40 New Steel Pipe K~nemat~c v~scos~ty-cent~stokes Flow 06 US
Bbl
ctal
npr
mln
hFi42 gai)
GLr
113
21
27
43
74
103
131
157
206
Aonrox SSU v~scosltv 31 5
33
35
For thls plpe slze v = 0 001434 x gprn. h, = 3 193 x 10 ' x gpmFor veloclty data see page 3-27 Note No allowance has been made for age, dlfference In dlameter or any abnormal COndltlOn o f Interlor surface Any lactor of safely must be esttmaled from the local c o n d ~ l ~ o nand s the requ~rementsof each particular lnstallat~on It IS recommended that for most commercial des~gnpurposes a Safety factor Of 15 to 20% be added to the values In the tables-see page 3-5
Figures in shaded area are laminar (v~saous)flow. For velocity data see page 3-27. Note: NO allowance has been made for age, difference in diameter, or any abnormal condition of interior surface. Any factor of safety must be estimated from the local conditions and the requirements of each particular installation It is recommended that for most commercial design purposes a Safety factor of 15 to 20% be added t o the values In the tables-see page 3-5.
INGERSOLLUAND
CAMERON HYDRAULIC DATA Friction Loss for Viscous Liquids (Continued)
Friction Loss for Viscous Liquids (Continued) (Based on Darcy's Formula)
(Based on Darcy's Formula)
Loss in Feet of Liquid per 1000 Feet of Pipe 20 lnch (18.812" inside dia) Sch 40 New Steel Pipe
Loss in Feet of Liquid per 1000 Feet of Pipe 20 lnch (18.812" inside dia) Sch 40 New Steel Pipe K~nemat~c v~scos~ty-cent~slokes Flow 264 US gal
32 0
43 2
I
For lhls plpe slze v - 0 001 154 x gpm h For veloclly data see page 3-27
2 068 r 10 ' # gpm'
Note No allowance has been made for age, dlfference In dlameter or any abnormal c o n d ~ t ~ oof n tnterlor Surface Any factor of safety must be est~matedfrom the local condlllons and the requlrements of each panlcular lnstallallon It IS recommended that for most commerc~aldeslgn purposes a safety factor of 15 to 20% be added to the values In the tables-see page 3-5
650
108 4
162 3
216 5
325
435
650
Bbl ~ e r
I
I
I
I
1
I
I
Figures In shaded area are iam~nar(VISCOUS) flow For velocity data see page 3-27. Note: No allowance has been made for age. difference In d~ameter,or any abnormal c o n d ~ t ~ oof n Interlor surface. Any factor of safety must be est~rnatedfrom the local condtt~onsand the requlrements of each paniCUlar Installation It is recommended that for most commercial design purposes a safety factor of 15 to 20% be added to the values In the tables-see page 3-5.
INGERSOLL-RAND
FRICTION
CAMERON HYDRAULIC DATA
Friction Loss for Viscous Liquids (Continued)
Friction Loss for Viscous Liquids (Continued)
(Based on Darcy's Formula)
(Based on Darcy's Formula)
Loss in Feet of Liquid per 1000 Feet of Pipe 24 lnch (22.624" inside dia) Sch 40 New Steel Pipe
Loss in Feet of Liquid per 1000 Feet of Pipe 24 lnch (22.624" inside dia) Sch 40 New Steel Pipe
K ~ n e m a t ~viscos~ty-cent~stokes c Flow US gal per mln
-
tic viscosity-centistokes 0.6
2.1
1.13
2.7
4.3
7.4
10.3
13.1
15 7
20.6
Flow 108.4
Bbl per hr (42 gal)
162.3
216.5
325
435
650
Approx SSU viscos~ty ,pprox SSU v~scosity 33
35
40
50
60
70
80
2000 3000 4000 5000 6000
2860 4285 5715 7145 8670
.31 .63 1.10 1.70 2.41
.34 .71 1.18 1.79 2.54
.37 -78 1.28 1.94 2.73
.39 .82 1.34 2.02 2.83
.41 .86 1.45 2.18 3.05
.47 .97 1.62 2.43 3.38
.51 1.05 1.75 2.61 3.62
.55 1.11 1.85 2.76 3.82
.57 117 1.94 2.88 3.98
7000 8000 9000 10000 12000
10000 11400 12850 14300 17150
3.24 4.21 5.29 6.50 9.29
3.41 4.40 5.52 6.76 9.62
3.65 4.69 5.86 7.16 10.1
3.77 4.85 6.04 7.37 10.4
4.06 5.19 6.46 7.85 11.0
4.47 5.71 7.08 8.59 12.0
4.78 6.09 7.54 9 13 12.7
5.03 6.40 7.92 9.58 13.3
14000 16000 18000 20000 22000
20000 22850 25700 28600 31400
12.6 16.3 20.6 25.4 30.6
13.0 16.8 21.2 26.0 31.3
13.6 17.6 22.0 27.0 32.5
13.9 18.0 22.5 27.6 33.1
14.7 18.9 23.7 28.9 34.6
16.0 20.4 25.5 31.0 37.0
26.9 21.6 26.8 32.6 38.9
17.7 22.5 28.0 33.9 40.4
24000 26000 28000 30000 32000
34300 37100 40000 42850 45700
36.4 42.6 49.3 56.6 64.3
37.1 43.5 50.3 57.6 65.4
38.4 44.9 51.8 59.2 67.2
39.1 45.7 52.7 60.2 68.2
40.8 47.6 54.8 62.5 70.7
43.6 50.6 58.2 66.3 74.9
45.7 53.0 60.9 69.2 78.1
47.5 55.0 63.1 71.8 80.9
34000 36000 38000 40000 42000
48600 51400 54300 57150 60000
72.5 81.2 90.4 100 110
73.6 82.4 91.7 101 112
75.6 84.5 93.9 104 114
76.7 85.7 95.2 105 116
79.5 88.7 98.4 109 119
84.0 93.6 104 114 125
87.5 97.4 108 119 130
90.6 101 11 1 123 134
44000 46000 48000 50000 55000
62900 65700 68600 71450 78600
121 132 144 156 188
122 134 145 158 190
125 137 148 161 194
127 138 150 163 196
131 142 154 167 201
137 149 162 175 210
142 155 168 181 217
147 159 173 186 223
60000 65000 70000 80000 90000
85710 92860 100000 114290 128570
224 263 304 397 502
226 265 307 400 506
230 269 312 406 512
232 272 314 409 515
238 278 321 417 525
248 289 333 431 541
256 298 343 443 555
263 306 352 454 568
31.5
100 500
For this pipe size: v = 7.98 x 10 For velocity data see page 3-28.
'x
.59 1.21 2.07 3.07 4.25
gpm, h, = 9.886 x 10.' x gpmY.
Note: No allowance has been made for age, difference in diameter, or any abnormal condit~onof interior surface. Any factor of safety must be estimated from the local conditions and the requirements of each particular installation. It is recommended that for most commercial design purposes a safety factor of 15 to 20% be added to the values in the tables-see page 3-5.
1
750
1
1000
1
1500
1
2000
1
3000
ki' Figures in shaded area are laminar (viscous) flow. For velocity data see page 3-28.
Note: No allowance has been made for age, difference in diameter, or any abnormal condition of interior surface. Any factor of safety must be estimated from the local conditions and the requirements of each particular installation. It is recommended that for most commercial design purposes a safety factor of 15 to 20% be added to the values in the tables-see page 3-5.
FRICTION
CAMERON HYDRAULIC DATA
INGERSOLLRAND
Friction Loss for Viscous Liquids (Continued)
Friction Loss for Viscous Liquids (Continued)
(Based on Darcy's Formula)
(Based on Darcy's Formula)
Loss in Feet of Liquid per 1000 Feet of Pipe 30 lnch (28.750" inside dia) Sch 30 New Steel Pipe
Loss in Feet of Liquid per 1000 Feet of Pipe 30 lnch (28.750 inside dia) Sch 30 New Steel Pipe
K~nemat~c viscosity-centistokes
Klnemat~cv~scos~ty-cent~stokes
Flow
US gal per mln
Bbl
- 26 4
Flow 0.6
1.13
2.1
7.4
4.3
2.7
10.3
13.1
15.7
20.6
US gal per mln
Approx SSU viscosity
per hr (42 gal)
31.5
33
50
40
35
60
70
80
100
Bbl per hr (42 gal)
32.0
43.2
108.4
65 0
162.3
216.5
325
435
650
1500
2000
3000
Approx SSU v~scosity 125
150
200
300
500
750
1000
1.28 1.36
1.79 202
1,44
2.15
1.53 1,62
2-29
f.4S 1.a
243
3.60 4.50 5.49
3iBS 4.14
3.24~ 6 02
,W
3200 3400 3600 3800 4000
4570 4860 5140 5425 5715
.23 .25 .28 .31 .33
.25 28 .31 .34 .37
.27 -31 -34 -38 .41
.29 .32 .36 .39 .43
.30 .34 .38 .42 .56
.34 -38 -43 -47 .51
.37 .42 .46 .51 .55
40 .44 49 .54 .59
.42 .46 .51 .56 .62
.43 .48 53 .59 .64
3200 3400 3600 3800 4000
4570 4860 5140 5425 5715
46 51 57 62 68
.49 .54 .60 .66 72
.54 60 66 .72 .79
.58 65 .72 79 86
.68 .75 .83 .91 .99
.77 86 94 1.03 1.12
5000 6000 7000 8000 9000
7145 8570 10000 11400 12850
.51 -72 .97 1.25 1.57
.57 .77 1.03 1.33 1.66
.62 .86 1.12 1.43 1.79
.65 .88 1.16 1.49 1.85
.68 .95 1.26 1.61 2.00
.77 1.06 1.40 1.79 2.21
.83 1.14 1.51 1.91 2.37
.87 1.21 1.59 2.02 2.49
.91 1.26 1.66 2.11 2.60
.97 1.35 1.77 2.25 2.77
5000 6000 7000 8000 9000
7145 8570 10000 11400 12850
1.00 1.38 181 2.32 2 89
106 1 46 191 2.42 2.97
116 1.59 2.08 2.62 3.22
1.26 1.73 2.34 2.94 3 61
146 1 99 2.60 327 4.01
164 2 24 2.91 3.66 4.48
179 2.44 3.17 3.98 4.86
10000 12000 14000 16000 18000
14300 17150 20000 22850 25700
1.92 2.74 3.70 4.80 6.05
2.03 2.87 3.86 5.00 6.27
2.18 3.07 4.11 5.29 6.62
2.25 3.17 4.23 5.44 6.80
2.43 3.40 4.52 5.80 7.22
2.68 3.73 4.95 6.33 7.86
2.86 3.98 5.27 6.72 8.33
3.01 4.19 5.53 7.04 8.72
3.14 4.35 5.74 7.31 9.05
3.34 4.63 6.10 7.75 9.57
10000 12000 14000 16000 18000
14300 17150 20000 22850 25700
351 4.89 6 44 8.17 10.1
3.58 4.94 6.54 8.37 10.4
3.87 533 6.99 8 85 10.9
4.33 5.95 7 79 9.84 12.1
4.81 6.61 8.65 10.9 13.4
537 7.35 9.60 12 1 14.9
582 796 10.4 13 1 160
6.57 8.95 11.7 14.6 179
7.19 9.78 12.7 15.9 19.5
14.4 18.0 22.0
20000 22000 24000 26000 28000
28600 31400 34300 37100 40000
7.44 8.97 10.6 12.5 14.4
7.69 9.26 11.0 12.8 14.8
8.09 9.71 11.5 13.4 15.4
8.31 9.95 11.8 13.7 15.8
8.80 10.5 12.4 14.4 16.6
9.55 11.4 13.4 15.5 17.8
10.1 12.0 14.1 16.4 18.8
10.6 12.6 14.8 17.1 19.6
11.0 13.0 15.3 177 20.2
11.6 13.8 16.1 18.6 21.3
20000 22000 24000 26000 28000
28600 31400 34300 37100 40000
12.2 14 5 16.9 19.6 22.4
12.7 15.1 177 20.4 233
13.2 15.6 18.2 21.0 24.0
146 17 2 20.1 23.1 26.4
167 19.7 230 26.4 30.1
179 21 1 24.6 283 322
19.2 22.7 26.4 304 346
21.5 25.3 29.4 33.8 38.4
233 27.5 31.9 36.6 41.6
263 30.9 35.8 41.1 46.6
30000 35000 40000 45000 50000
42850 50000 57150 62290 71450
16.5 22.4 29.1 36.8 45.3
16.9 22.9 29.7 37.5 46.1
17.6 23.7 30.7 38.6 47.4
18.0 24.2 31.3 39.3 48.2
18.9 25.3 32.6 40.8 50.0
20.3 27.0 34.7 43.3 52.9
21.3 28.4 36.4 45.3 55.2
22.2 29.5 37.8 47.0 57.1
22.9 30.4 38.9 48.3 58.8
241 32.0 40.8 50.7 61.5
30000 35000 40000 45000 50000
42850 50000 57150 62290 71450
253 33 5 42 7 52.9 642
26.4 34 9 44 4 55 0 666
27.1 35.7 45.6 56.7 68.9
29.8 39 2 49.8 61.5 74.2
34.0 44.5 56 4 69 4 837
364 47.7 60 4 77 0 92.6
390 51 1 64.6 79.5 95.8
43.3 56 6 71.5 87.8 106
46.9 61 2 77.1 94.6 114
52.5 68.3 86 0 105 126
78570 55000 85710 60000 65000 92860 70000 100000 75000107140
54.8 65.1 76.3 88.4 101
55.6 66.0 77.3 89.5 103
57.1 67.7 79.1 91.5 105
57.9 68.6 80.2 92.6 106
60.0 70.9 82.7 95.4 109
63.3 74.7 87.0 100 114
66.0 77.7 90.3 104 118
68.2 80.3 93.2 107 122
70.1 82.4 95.7 110 125
73.3 86.0 99.8 114 130
55000 78570 764 85710 60000 89 6 92860104 65000 70000 100000 119 7 5 0 0 0 1 0 7 1 4 0 135
79.3 92.9 108 123 140
82.2 96.5 112 128 146
88.1 103 119 136 154
991 116 133 152 172
110 128 147 168 190
113 132 152 174 196
125 145 167 191 216
134 156 180 205 231
149 173 199 227 256
115 130 146 162 180
117 131 147 164 181
119 134 150 167 184
120 135 151 168 186
124 139 155 172 190
129 145 162 180 198
134 150 167 185 204
138 154 172 190 210
141 158 176 195 214
147 164 183 202 222
158 176 196 216 238
164 184 204 226 248
173 193 214 236 259
193 216 239 263 289
213 237 262 289 316
220 245 281 309 339
242 269 297 327 359
259 288 319 350 384
286 318 351 386 423
80000114290 85000121430 90000 128570 95000135710 100000142860
For t h ~ spipe size: v = 4.942 x 10 For velocity data see page 3-28.
' x gpm; h, = 3.791 x
10
'I
x
80000 85000 90000 95000 100000
152 170 189 209 230
.@ .73
.n .81
.$8 t.10 t.13 t.18
2.T6
2.39
4.34
5.98
5.M
7.30
Figures in shaded area are laminar (viscous) flow. For velocity data see page 3-28.
gpmL
Note: No allowance has been made for age, d~fferencein diameter, or any abnormal condition of interlor surface. Any factor of safety must be estimated from the local cond~tionsand the requ~rementsof each particular installation. It is recommended that for most commercial design purposes a safety factor of 15 to 20% be added to the values in the tables-see page 3-5.
114290 121430 128570 135710 142860
.fE5
I
Note: No allowance has been made for age, difference in diameter, or any abnormal condition of interior surface. Any factor of safety must be estimated from the local conditions and the requirements of each particular ~nstallation.It is recommended that for most commercial design purposes a safety factor of 15 to 20% be added to the values in the tables-see page 3-5.
FRICTION
CAMERON HYDRAULIC DATA
INGERSOLLRAND
Friction Loss for Viscous Liquids (Continued)
Friction Loss for Viscous Liquids (Continued) (Based on Darcy's Formula)
(Based on Darcy's Formula)
Loss in Feet of Liquid per 1000 Feet of Pipe 36 lnch (34.500" inside dia) Sch 30 New Steel Pipe
Loss in Feet of Liquid per 1000 Feet of Pipe 36 lnch (34.500" inside dia) Sch 30 New Steel Pipe
Kinematic viscosity-centistokes Flow
0.6 US gal per mln
Bbl per hr (42 gal)
1.13
2.1
2.7
31.5
33
35
4.3
7.4
10.3
- 26.4
15.7
20.6
Approx SSU viscosity
40
50 .44
US gal per mln
Bbl per hr (42 gal)
60
70
80
.51 .66 .84 1.04 1.25
.53 -69 -88 1.08 1.31
.56 .74 .94 1 .16 1.40
6000 7000 8000 9000 10000
8670 10000 11400 12850 14300
100
325
435
650
1500
2000
3000
Approx SSU v~scos~ty
125
500
750
1000
.76 .96 1 19 1.44
1.m 1 92 2.34 2 79
17150 20000 22850 25700 28600
2.02 2.69 3.41 4.21 5.08
2.07 2.72 3.45 4.29 5.21
224 2.93 3.71 4 57 5.50
2.51 3.28 4.13 5.08 6.11
2.78 3.64 4.59 5.64 6.78
3.10 4.05 5.10 6.26 7.52
3.37 4.39 552 6 76 8.12
3.80 4.94 6.20 7.58 9.08
22000 24000 26000 28000 30000
31400 34300 37100 40000 42850
6.02 7.04 8.12 9.28 10.5
6.21 7.30 8.46 9.70 11.0
6.51 7.60 8.76 9.99 113
7.22 8.42 9.69 11.1 12.5
8.02 9.66 11.1 12.6 14.3
8.88 10.3 11.9 13.5 15.3
13.2 16.8 20.9 25.3 30.1
35000 40000 45000 50000 55000
50000 57150 62290 71450 78570
13.9 17.7 21.9 26.5 31.5
14.5 18.4 22.8 27.6 32.8
14.9 18.9 23.4 28.4 33.9
16.4 20.8 25.6 30.9 36.7
18.7 23.6 29.1 35.0 41.4
33.7 39.1 44.9 57.5 71.5
35.3 40.9 46.9 60.0 74.6
60000 85710 65000 92860 70000 100000 80000 114290 90000 128570
36.9 42.7 48.9 62.5 77.6
38.4 44.4 50.8 64.8 80.4
39.8 46.1 52.9 67.7 84.2
42.9 49.5 56.5 71.8 88.8
48.3 55.7 63.6 80.6 99.5
85.0 102 120 139 160
87.1 104 123 142 164
90.7 108 127 148 170
100000 142860 94.3 110000157140 112 120000171430 132 130000 185710 153 140000 200000 176
97.6 116 136 158 181
102 122 143 166 191
107 128 150 173 198
183 206 232 258 316
186 211 236 263 322
193 218 244 272 332
150000214290 160000 228570 170000 242860 180000 257140 200000285710
206 232 260 289 352
217 244 273 303 369
224 252 282 313 380
.39 .52 .66 .82 1.00
.74 .92 1.11
.48 .63 .80 .98 1.19
12000 14000 16000 18000 20000
17150 20000 22850 25700 28600
1.09 1.47 1.90 2.39 2.94
1.15 1.55 2.00 2.50 3.07
1.25 1.66 2.14 2.67 3.26
1.29 1.72 2.21 2.75 3.36
1.39 1.85 2.37 2.95 3.58
1.54 2.04 2.61 3.23 3.92
1.65 2.18 2.78 3.44 4.17
1.74 2.29 2.92 3.61 4.37
1.81 2.39 3.03 3.75 4.54
1.93 2.54 3.22 3.98 4.81
12000 14000 16000 18000 20000
22000 24000 26000 28000 30000
31400 34300 37100 40000 42850
3.54 4.20 4.91 5.67 6.50
3.68 4.36 5.09 5.87 6.71
3.90 4.60 5.36 6.18 7.05
4.02 4.74 5.51 6.34 7.23
4.28 5.03 5.85 6.72 7.65
4.67 5.48 6.35 7.29 8.28
4.96 5.81 6.73 7.71 8.75
5.20 6.09 7.04 8.06 9.14
5.39 6.31 7.30 8.35 9.46
5.71 6.68 7.71 8.82 9.99
35000 40000 45000 50000 55000
50000 57150 62290 71450 78570
8.80 11.4 14.4 17.8 21.5
9.06 11.8 14.8 18.2 21.9
9.47 12.2 15.4 18.8 22.7
9.70 12.5 15.7 19.2 23.1
10.2 13.2 16.4 20.1 24.1
11.0 14.1 17.6 21.4 25.6
11.6 14.9 18.5 22.5 26.9
12.1 15.5 19.2 23.4 27.9
12.5 16.0 19.9 24.1 28.7
25.5 29.9 34.6 45.0 56.9
26.0 30.4 35.2 45.8 57.7
26.8 31.3 36.2 46.9 59.1
27.3 31.8 36.8 47.6 59.9
28.4 33.1 38.1 49.3 61.8
30.2 35.1 40.4 52.0 65.0
31.6 36.7 42.1 54.1 67.6
32.8 38.0 43.6 55.9 69.7
100000 142860 70.1 110000 157140 84.8 120000171430 101 130000185710 118 140000200000 137
71.1 85.8 102 119 138
72.6 87.5 104 122 141
73.5 88.6 105 123 142
75.7 91.1 108 126 145
79.5 95.3 113 131 151
82.4 98.7 116 136 156
158 180 203 228 280
161 183 206 231 284
163 184 208 233 286
166 189 212 237 291
173 196 220 245 301
178 201 226 252 309
1 828 x
300
216.5
1.04 1.35 1.69 2.06 2 47
.37 .50 .62 .76 .92
=
200
162.3
.95 1.23 1.55 1 .89 2.27
.36 .47 .60 .73 .89
For this pipe slze. v = 3 432 x lo-' x gpm, h, For veloclty data see page 3-29
150
108 4
.84 1.10 1.38 1 69 2.03
.33 .43 .54 .67 .82
157 179 201 226 278
65.0
.73 .95 1.24 1.52 1.83
.29 .39 .50 .63 .77
150000214290 160000 228570 170000 242860 180000257140 200000285710
43 2
.67 .88 1 10 1 35 1.63
8670 10000 1 1400 1 2850 14300
60000 85710 65000 92860 70000 100000 80000 114290 90000 128570
32.0
.61 .80 1.01 1.25 1.50
6000 7000 8000 9000 10000
.58
Kinematic v~scos~ty-cent~stokes
Flow
13.1
x gpm2
Note No allowance has been made for age, difference In diameter, or any abnormal condltlon of Interlor surface Any factor of safety must be estimated from the local condltlons and the requ~rementsof each particular lnstallat~onIt IS recommended that for most commercial deslgn purposes a safety factor of 15 to 20% be added to the values In the tables-see page 3-5.
I
1
.58
200 225 252 281 342
9 57
,%@
4.161 3.45 5 . 4 0 4.m 6.77 7.68 9.36 8.26 11.2 9.89
12.8 14.6 16.4
10.7 12.4 14.3 162 18.3
11.6 13.5 15 5 17.6 19.8
13.1 15.2 17.4 19.8 22.2
20.0 25.3 31.1 37.5 46.0
21.5 271 33.4 40.2 47.5
23.9 30.1 36.9 44.4 52.5
25.8 32.5 39.9 47.9 56.5
28.9 36.4 44.5 53.4 62.9
53.5 61.6 70.2 88.9 110
55.3 63.8 72.7 92.1 113
61.1 70.3 80.1 101 125
65.8 75.6 86.1 109 134
73.1 84.0 95.5 120 148
120 142 167 192 220
132 156 183 211 240
137 168 196 226 257
150 178 207 239 272
161 190 222 255 291
178 210 244 281 320
249 280 312 346 419
272 305 340 377 456
291 326 364 403 486
308 345 385 426 514
329 369 411
362 405 451 499 600
111
454
548
Figures In shaded area are lamlnar (VISCOUS) flow. For veloclty data see page 3-29. Note: No allowance has been made for age, difference in diameter, or any abnormal condition of interior surface. Any factor of safety must be estimated from the local conditions and the requirements of each particular installation. It is recommended that for most commercial design purposes a safety factor of 15 to 20% be added to the values in the tables-see page 3-5.
FRICTION
CAMERON HYDRAULIC DATA
INGERSOLLRAND
Friction Loss for Viscous Liquids (Continued)
Friction Loss for Viscous Liquids (Continued)
(Based on Darcy's Formula)
(Based on Darcy's Formula)
Loss in Feet of Liquid per 1000 Feet of Pipe 42 lnch (42.0" inside dia) New Steel Pipe
Loss in Feet of Liquid per 1000 Feet of Pipe 42 lnch (42.0" inside dia) New Steel Pipe
K~nematicviscosity-centistokes
- 06
Flow US gal per mln
Bbl per hr (42 gal)
-
1.13
4.3
2.7
2.1
7.4
Kinematic viscosity-centistokes
10.3
13.1
157
Approx SSU viscos~ty
31.5
35
33
40
50
60
70
80
Flow
- 26.4
206
100
US gal per mln
Bbl per hr (42 gal)
162.3
216.5
325
435
650
125
150
200
300
500
750
1000
1500
2000
3000
.38 .46 .54 .62 .71
.43 .51 .60 .69 .79
.46 .55 .64 .74 .85
49 .58 .68 .78 .89
.51 -60 .71 .81 .93
,551 .65 75 .87 .99
10000 11000 12000 13000 14000
14300 15700 17150 18600 20000
-56 .66 .78 .90 1.03
.59 .70 .81 .93 1.06
.64 .76 .88 1.01 1.15
.72 .85 .99 1.13 1.29
1.10 1.26 1.43
.90 1.06 1.23 1.41 1.60
.98 1.15 1.33 1.53 1.74
1.11 1.30 1.51 1.73 1.96
1.66 1.90 2.15
.75 .84
.89 1.00 1.12 124 1.37
.96 1.07 1.20 1.33 1.47
1.01 113 1.26 1.40 1.54
1.05 1.18 1.31 1.46 1.60
1.12 1.26 1.40 1.55 1.71
15000 16000 17000 18000 19000
21400 22850 24290 25700 27140
1.17 1.32 1.48 1.64 1.81
1.20 1.34 1.50 1.66 1.82
1.30 1.45 1.62 1.79 1.97
1.45 1.63 1.81 2.00 2.19
1.61 1.81 2.01 2.22 2.44
1.80 2.01 2.23 2.47 2.71
1.95 2.18 2.42 2.67 2.93
2.20 2.46 2.72 3.00 3.29
2.41 2.69 2.98 3.28 3.59
2.02
20000 25000 30000 35000 40000
28600 35700 42850 50000 57150
1.98 2.94 4.08 5.38 6.84
2.00 3.02 4.24 5.63 7.15
2.15 3.19 4.41 5.80 7.35
2.40 3.54 4.88 6.41 8.12
2.66 3.94 5.60 7.33 9.26
2.96 4.36 5.99 7.85 9.91
3.20 4.71 6.46 8.44 10.7
3.59 5.27 7.21 9.40 11.9
3.92 5.73 7.83 10.2 12.8
4.45 6.47 8.82 11.5 14.4
45000 62290 50000 71450 60000 85710 70000100000 80000114290
8.46 10.2 14.2 18.8 24.0
8.83 10.7 14.8 19.6 25.0
9.08 11.0 15.3 20.3 26.0
10.0 12.1 16.7 22.0 27.9
11.4 13.7 18.9 24.8 31.4
12.2 14.7 20.2 27.5 34.8
13.1 15.7 21.7 28.4 36.0
14.5 17.5 24.0 31.4 39.7
15.7 18.9 25.9 33.8 42.7
17.6 21.1 28.8 37.6 47.4
128570 142860 157140 171430 185710
29.8 36.1 43.1 50.5 58.5
31.0 37.5 44.7 52.4 60.6
32.3 39.3 46.9 55.0 63.8
34.5 41.6 49.4 57.8 66.8
38.8 46.8 55.4 64.7 74.7
42.8 51.6 61.1 71.2 82.1
44.3 53.4 63.3 73.8 85.1
48.8 58.7 69.5 81.0 93.3
52.4 63.1 74.5 86.8 100
58.2 69.9 82.5 96.0 110
67.1 76.2 85.9 96.1 107
69.5 78.9 88.8 99.3 110
73.2 83.2 93.7 105 116
76.4 86.6 97.3 109 121
85.3 96.5 108 121 134
93.7 106 119 132 147
101 114 127 142 157
106 120 135 150 166
114 129 144 160 178
126 142 159 177 195
122 134 203 285 380
128 141 213 298 397
133 146 220 307 407
148 162 242 337 447
161 177 264 367 484
173 189 282 390 515
183 200 298 413 565
195 214 318 440 579
215 235 348 481 632
.29 .34 .41 .47 .54
15000 16000 17000 18000 19000
21400 22850 24290 25700 27140
62 .70 .79 -88 -98
.66 .75 .84 .94 1.04
.72 .81 .91 1.01 1.12
1.05 1
.81 .91 1.01 1.13 1.24
20000 25000 30000 35000 40000
28600 35700 42850 50000 57150
1.08 1.67 2.39 3.22 4.19
1.14 1.75 2.49 3.35 4.34
1.23 1.87 2.64 3.54 4.56
1.27 1.93 2.72 3.64 4.69
1.37 2.07 2.90 3.87 4.96
1.51 2.27 3.17 4.21 5.38
1.61 2 41 3.36 4.46 5.70
1.69 2.53 3.52 4.66 5.95
1.76 2.63 3.66 4.83 6.16
1.87 2.79 3.87 5.11 6.51
45000 62290 50000 71450 60000 85710 70000100000 80000 114290
5.28 6.49 9.29 12.6 16.4
5.45 6.69 9.54 12.9 16 7
5.72 7.00 9.93 13.4 17.3
5.86 7.16 10.2 13.6 17.6
6.19 7.55 10.7 14.3 18.4
6.70 8.14 11.4 15.3 19.6
7.07 8.59 12.0 16.0 20.5
7.38 8.95 12.5 16.6 21.3
7.64 925 12.9 17.2 21.9
8.05 9.75 13 6 18.0 23.0
128570 142860 157140 171430 185710
20.7 25.5 30.8 36.6 42.9
21.1 260 31.3 37.2 43.5
21.8 26.7 32.2 38.1 44.6
22.1 27.1 32.7 38.7 45.2
23.0 28.2 33.8 40.0 46.6
24.5 29.8 35.7 42.1 49.1
25.6 31.1 37.2 43.9 51.0
26.5 32.2 38.5 45.3 52.6
27.3 33.1 39.6 46.5 54.0
28.6 34.7 41.3 48.5 56.3
140000 200000 150000 214290 160000 228570 170000242860 180000 257140
49.7 57.0 64.8 73.1 81.9
50.4 57.7 65.6 73.9 82.8
51.5 59.0 66.9 75.4 84.3
52.2 59.7 67.7 76.2 85.2
53.8 61.5 69.6 78.3 87.5
56.5 64.4 72.9 81.8 91.3
58.6 66.8 75.5 84.7 94.4
60.5 68.8 77.7 87.1 97.0
62.0 70.5 79.6 89.2 99.3
64.6 73.4 82.7 92.6 103
140000 200000 150000 214290 160000 228570 170000 242860 180000257140
125 191 269 360 464
190000 271430 118 200000285710 130 250000 357140 197 300000 428570 277 350000 500000 370
102 159 228 310 404
108.4
.37 .44 .50 .57 .66
14300 15700 17150 18600 20000
101 157 226 308 401
65.0
.35 42 .48 .55 .63
10000 11000 12000 13000 14000
200000285710 250000 357140 300000428570 350000 500000 400000571430
43.2
Approx SSU viscosity
.32 .37 .43 50 -58
90000 100000 110000 120000 130000
32.0
104 161 231 313 408
.94
105 162 232 315 410
For this pipe slze: v = 2.316x lo-' x gpm: h, For velocity data see page 3-29.
107 166 237 320 416
112 171 244 329 427
115 177 250 337 436
118 181 256 344 444
121 184 261 350 451
8.322x 10 'Ox gpm'
:
Note: No allowance has been made for age, difference In diameter, or any abnormal cond~tionof interlor surface. Any factor of safety must be estimated from the local c o n d ~ t ~ o nand s the requirements of each particular ~nstallation.It is recommended that for most commercial design purposes a safety factor of 15 to 20% be added to the values in the tables-see page 3-5.
90000 100000 110000 120000 130000
.80 .94
.90 .93
127 1.42 1.57 f.72 1.67
2.05 3.39 3.73 4.08
Figures in shaded area are laminar (viscous) flow. For velocity data see page 3-29.
Note: No allowance has been made for age, difference in diameter, or any abnormal condition of interior surface. Any factor of safety must be est~matedfrom the local conditions and the requirements of each particular installation. It is recommended that for most commercial design purposes a safety factor of 15 to 20% be added to the values in the tables-see page 3-5.
Friction Loss for Viscous Liquids (Continued)
Friction Loss for Viscous Liquids (Continued)
(Based on Darcy's Formula)
(Based on Darcy's Formula)
Loss in Feet of Liquid per 1000 Feet of Pipe 48 lnch (48.0" inside dia) New Steel Pipe
Loss in Feet of Liquid per 1000 Feet of Pipe 48 lnch (48.0" inside dia) New Steel Pipe
- 0.6
K~nernat~c v~scos~ty-centistokes
Flow
1.13
US gal per mln
Bbl per hr (42 gal)
14000 16000 18000 20000 25000
20000 22850 25700 28600 35700
.28 .36 .45 .55 .85
.31 .39 .48 .59 -90
30000 35000 40000 45000 50000
42850 50000 57150 64290 71430
1.21 1.64 2.12 2.67 3.28
55000 78570 60000 85710 65000 92860 70000 100000 75000 107140 80000 114290 85000 121430 90000 128570 95000135710 100000 142860
21
4.3
2.7
7.4
10.3
K~nemat~c vtscos~ty-cent~stokes
13.1
15.7
20.6
Approx SSU viscosity
1084
162 3
216 5
325
435
650
1500
2000
3000
Approx SSU v~scos~ty
.57 70 .84 1.27
20000 22850 25700 28600 35700
54 69 86 104 1 55
56 71 88 1 05 1 58
61 77 95 1 14 1 69
69 86 106 1 27 1 88
76 96 118 1 41 2 09
85 1 07 131 1 57 2 32
93 1 16 142 1 70 2 50
105 1 31 160 1 92 2 81
115 1 44 175 2 09 3 06
3 46
1.65 2.19 2.81 3.49 4.23
1.76 2.33 2.98 3.69 4.48
1.85 2.44 3.12 3.86 4.68
1.92 2.54 3.23 4.00 4.84
2.04 2.69 3.42 4.23 5.11
42850 50000 57150 64290 71430
215 283 360 4 45 538
221 294 376 4 65 562
233 306 388 4 79 577
259 339 429 5 28 637
287 389 491 6 03 726
318 416 525 6 46 777
343 448 565 6 94 834
384 500 630 7 72 927
417 543 683 8 36 100
471 512 767 9 38 112
5.05 5.94 6.89 7.91 8.99
5.34 6.26 7.26 8.33 9.46
5.57 6.53 7.57 8.67 9.85
5.76 6.75 7.82 8.96 10.2
6.08 7.12 8.23 9.42 10.7
78570 85710 92860 100000 107140
638 747 864 988 112
667 780 901 103 117
685 800 925 106 121
754 880 102 116 131
858 100 115 131 148
919 107 123 141 159
986 115 132 151 170
109 127 146 167 188
118 137 158 180 202
132 154 176 200 226
.42 .52 .64 .97
.41 .53 65 .79 1.19
1.27 1.71 2.21 2.78 3.40
1.36 1.82 2.35 2.93 3.59
1.41 1.88 2.42 3.02 3.68
1.51 2.01 2.57 3.21 3.90
3.96 4.70 5.50 6.36 7.28
4.09 4.85 5.66 6.54 7.48
4.30 5.08 5.92 6.83 7.80
4.41 5.21 6.07 6.99 7.97
4.67 5.50 6.39 7.35 8.37
8.27 9.32 10.4 11.6 12.9
8.49 9.55 10.7 11.9 13.1
8.83 9.93 11.1 12.3 13.6
9.02 10.1 11.3 12.6 13.9
9.46 10.6 11.8 13.1 14.5
10.2 11.4 12.7 14.0 15.4
157140 171430 185710 200000 228570
15.5 18.4 21.6 25.0 32.6
15.8 18.8 22.0 25.4 33.1
16.4 19.4 22.6 26.1 33.9
16.6 19.7 23.0 26.5 34.4
17.3 20.5 23.9 27.5 35.5
180000 257140 200000 285710 250000 357140 300000428570 350000 500000
41.2 50.7 79.1 114 154
41.7 51.4 79.9 115 156
42.7 52.5 81.3 116 158
43.3 53.1 82.2 117 159
400000571430 450000 642860 500000 714290 550000785710 600000857140
202 255 314 380 452
203 256 316 382 454
205 259 319 386 458
207 261 321 388 461 -
65 0
.52 .66 .82 .99 1.47
.37 .47 .59 .71 1.08
For thls plpe size: v = 1.773x lo-' x gpm; h, For velocity data see page 3-30.
432
.49 .62 77 .93 1.38
.35 -44 -54 .66 1.00
.34
100
32 0
.47 .60 .74 .89 1.33
50
33
. Bbl Per hr (42 gal)
26 4
80
40
31.5
-)W
70
35
110000 120000 130000 140000 160000
FRICTION
CAMERON HYDRAULIC DATA
INGERSOLL*AND
60 .44
125
150
200
300
500
750
1000
l.44
1 . S
10.7
11.1
11 9
13.3 14.7 16.1
12.4 13.8 15.2 16.8
11.4 12.8 14.2 15.7 17.3
12.0 13.4 14.9 16.5 18.1
114290 121430 128570 135710 142860
126 141 156 172 189
131 146 162 179 197
136 152 167 187 205
147 164 181 200 219
166 185 205 225 247
184 205 227 249 273
190 212 234 258 282
21 0 234 259 284 311
227 252 278 306 334
252 280 309 339 371
18.4 21.7 25.3 29.1 37.3
19.3 22.7 26.3 30.3 38.9
20.0 23.5 27.3 31.3 40.2
20.6 24.2 28.0 32.2 41.2
21.5 25.3 29.3 33.6 43.0
157140 171430 185710 200000 214290
225 264 30 5 350 397
234 274 31 7 36 3 412
245 287 333 382 434
260 304 35 1 40 1 455
292 341 39 4 449 508
323 377 43 4 49 5 559
334 390 44 9 51 3 580
368 429 494 56 3 635
395 460 529 603 681
438 509 58 5 666 752
44.6 54.7 84.2 120 162
46.6 56.7 87.7 125 168
48.6, 59.3 90.6 128 172
50.1 61.1 93.1 131 176
51.4 62.6 95.1 134 180
53.5 65.1 98.7 139 186
211 265 326 393 467
217 273 335 403 478
223 279 342 411 487
227 285 349 419 496
232 290 354 426 503
239 298 364 437 516
4.877x 10 " ' x gpm2.
Note: No allowance has been made for age, d~fferencein diameter, or any abnormal condit~onof interlor surface. Any factor of safety must be estimated from the local conditions and the requirements of each particular installation. It is recommended that for most commercial design purposes a safety factor of 15 to 20% be added to the values in the tables-see page 3-5.
197 253 315 384 459 Figures in shaded area i For velocity data see p
laminar (viscous) flow. e 3-30.
I
Note: NO allowance has been made for age, difference in diameter, or any abnormal condition of interior surface. Any factor of safety must be estimated from the local conditions and the requirements of each particular installation. It is recommended that for most commercial design purposes a safety factor of 15 to 20% be added to the values in the tables-see page 3-5.
INGERSOLLflAND CAMERON HYDRAULIC DATA Friction Loss for Viscous Liquids-4000
SSU to 20000 SSU
(Based on Darcy's Formula)
Loss in Feet of Liquid per 1000 Feet of Pipe 11/4" to 6" pipe sizes-Schedule 40 Laminar flow-figures
suitable for any interior roughness
Friction Loss for Viscous Liquids-4000 SSU to 20000 SSU (cont.) ( ~ a s e d - o nDarcy's Formula)
Loss in Feet of Liquid per 1000 Feet of Pipe 3" to 18" pipe sizes-Schedule 40 Laminar flow-Figures
suitable for any interior roughness
Lok
Note: No allowance has been made for age, difference in diameter, or any abnormal condition of interlor surface. Any factor of safety must be estimated from the local cond~tlonsand the requirements of each particular installation. It is recommended that for most commercial design purposes a safety factor of 15 to 20% be added to the values in the tables-see page 3-5.
Darcy formula for laminar (viscous) flow-hf 1587.6 d' in which-h, = friction loss-ft of liquid; L = length of pipe-ft: gpm = flow-gal per min; k = kinematic viscostty-centlstokes: d = ~nternalpipe d ~ a - ~ nWarnlng: This formula for lamlnar flow only, 1.e. for Reynolds number less than 2000. Note: No allowance has been made for age, difference in diameter, or any abnormal condition of interlor surface. Any factor of safety must be estimated from the local conditions and the requirements of each Particular installation. It is recommended that for most commercial deslgn purposes a safety factor of 15 to 20% be added to the values in the tables-see page 3-5.
INGERSOLL-RAND CAMERON HYDRAULIC DATA
FRICTION- PAPER STOCK
Friction losses-paper stock flow Curves relating friction loss to stock flow in pipes are shown on pages 3-91 to 3-101. These curves are based on the University of Maine's correlation of the Brecht and Heller data*. That data correlation produced a relationship between a pseudo-Reynolds Number "Re" and a friction factor "f" as shown on the chart on page 3-90. The following equations are applicable here: (1)
pseudo-Reynolds Number "Re"
(2)
**friction factor "f"
(3)
average stock velocity "V"
(4)
friction loss "hff' =
=
=
x V x p C1.157
1 I
3.97 R61.636 =
Q x 0.321 A
I
fxV2xLxK D
where: A = C = D = f = hf = K = L = p = Q= Re =
V
=
Pipe flow cross-sectional area -square inches % stock consistency -oven dry Inside diameter of pipe -feet. Friction factor**-see page 3-90 Friction loss-feet of water Friction factor multiplier (see page 3-89) Length of pipe-feet Stock density-lbs./ft3 (assumed to be 62.4) Volumetric flow rate -U. S. gallons/minute Pseudo-Reynold's number Average stock velocity in pipe-feetisecond
* Acknowledgements,
with the permission of TAPPI Brecht and Heller-TAPPI Vol. 33, No. 9 Durst, Chase and Jenness-TAPPI Vol. 35, No. 12 Durst and Jenness-TAPPI Vol. 37, No. 10 P. S. Riegel-TAPPI Vol. 49, No. 3 ** Note: This friction factor "f" is not related in any way to the Darcy-WeisbachColebrook friction factor previously discussed-(page 3-3). Note: For pump performance corrections when handling stock see discussion on page 4-49.
Given the pipe size, stock flow, and stock consistency, the stock velocity and Re number can be calculated using equations (3) and (1). The friction factor "f" corresponding to the calculated Re number can be taken from the chart on page 3-90 or calculated using equation (2). By using the appropriate given and derived values in equation (4), the stock line friction loss can be calculated. Friction loss values shown on the accompanying curves were derived in the foregoing manner for various diameters of schedule 40 steel pipe. For pipe diameters other than those shown, it is necessary to calculate friction loss values as described above. Although the R4 number was originally derived on an OD stock consistency basis, the friction loss curves shown here were calculated on the AD consistency basis, resulting in somewhat larger loss values and, therefore, more conservative results. Stock temperatures between 18°C and 35°C (65°F and 95°F) will not appreciably affect friction loss; higher temperatures should give somewhat lower friction losses. For stock consistencies below 2.0%, use water friction values. Stock velocity should not exceed 10 feetlsec. for stock consistencies of 3.0% or lower; for consistencies higher than 3.0%, maximum stock velocity should be 8 feetlsec.
1
The friction loss curves are based on unbleached, unrefined softwood sulfite pulp; for other types of pulp, the following multiplier values (K) may be applied:
T y p e of P u l p
i
Unbl. Sulfite- SW B1. sulfite-SW Unbl. kraft -SW Soda-HW Reclaimed fiber Pre-steamed groundwood -SW Stone groundwood- SW
*CSF -ml 640 560 730
200 70
Friction Factor Multiplier ( K ) 1.00 0.90 0.90 0.90** 0.90"" 1.00 1.42
* Canadian Standard Freeness ** Courtesy of Goulds Pumps, Inc. Note: This friction factor multiplier (K) is not related in any way to t h e resistance coefficient K i n t h e tables on pages 3-110 t o 3-121.
INGERSOLLRAND
CAMERON HYDRAULIC DATA
FRICTION- PAPER STOCK
Friction Factors for Stock Flow in Pipes
Friction of Paper Stock (Continued)
Friction Factor-"f"
Loss in feet of water per 100 ft of pipe Basis unbleached sulphite pulp-air dry
" f " FACTOR
g w 8
$
994904
0
0
0
0
Pq"?drn
0
0
c u -
0000 0 O Q ) b ( O V) 9999 9
0"
m
8 8
9
0
g
g
9
9
9
w
3 Inch
8
' f " FACTOR
I
.
/
I
50
,
I
.
I
/
I
100 F L O W150 -US G ZOO PM
I
250
I
1
1
1
1
1
INGERSOLL-RAND CAMERON HYDRAULIC DATA
Loss in feet of water per 100 ft of pipe Basis unbleached sulphite pulp-air dry
Loss in feet of water per 100 ft of pipe Basis unbleached sulphite pulp-air dry
6 lnch
4 lnch
1
bO
1
DO
I
1
I
150 200 250 FLOW-US GPM
I . . ,
300
FRICTION- PAPER STOCK
I
Friction of Paper Stock (Continued)
Friction of Paper Stock (Continued)
I
I
I
360
I
400
FRICTION- PAPER STOCK
CAMERON HYDRAULIC DATA
INGERSOLLRAND
Friction of Paper Stock (Continued)
Friction of Paper Stock
Loss in feet of water per 100 ft of pipe Basis unbleached sulphite pulp-air dry
Loss in feet of water per 100 ft of pipe Basis unbleached sulphite pulp-air dry
10 lnch
8 lnch
I
1
I
.
1
I
1000 FLOW-US GPM
I
I
1500
1
u460
do
I
jZm
1200
FLOW-US GPM
2400 2d00 ~ Q O O
FRICTION- PAPER STOCK
INGERSOLL-RAND CAMERON HYDRAULIC DATA
Friction of Paper Stock (Continued)
Friction of Paper Stock (Continued)
Loss in feet of water per 100 ft of pipe Basis unbleached sulphite pulp-air dry
Loss in feet of water per 100 ft of pipe Basis unbleached sulphite pulp-air dry
14 lnch
12 lnch
FLOW - US GPM
0
I
0
m
1
,
1000
. I ,
I
I
,
,
I
,
2000 3000 4000 5000 F L O W - U S GPM
INGERSOLL-RAND CAMERON HYDRAULIC DATA
FRICTION- PAPER STOCK Friction of Paper Stock (Continued)
Friction of Paper Stock (Continued)
Loss in feet of water per 100 ft of pipe Basis unbleached sulphite pulp-air dry
Loss in feet of water per 100 ft of pipe Basis unbleached sulphite pulp-air dry
18 lnch
16 lnch
. I
0
I
'
I 1
8
I
#
'OoO ?eO~oOfS
I
I
.
,
L
.
4000 so00 6000 OPM
.
I
1000 2000 3000 4000 5000 FLOW -US GPM
. -
-i i 6000 7000
INGERSOLLRAND
CAMERON HYDRAULIC DATA
Friction of Paper Stock (Continued) Loss in feet of water per 100 ft of pipe Basis unbleached sulphite pulp-air dry 20 Inch
FRICTION- PAPER STOCK Friction loss in fittings- (paper stock) To determine frictional resistance of paper stock flowing in elbows and tees use the chart on page 3-102; these curves are drawn for 90" short radius elbows. To determine the frictional resistance for either 90" long radius elbows or 45" elbows, multiply the results obtained from the chart by a 0.8 factor. To determine the frictional resistance of a standard tee, multiply the results obtained from the chart by a 1.7 factor. The following example demonstrates how to use the chart. Find the frictional resistance in an 8 in. schedule 40, short radius 90" steel elbow for 900 gallons per minute of 3% air dry consistency unbleached sulphite paper stock. Entering the chart with 900 gallons per minute, move horizontally to the intersection of the 8 in. curve. Proceeding vertically to the intersection of the 3% air dry consistency curve results in a frictional resistance value of 1 foot. For fittings with internal diameters different from schedule 40 steel fittings, it is necessary to determine the'flow velocity. The chart can then be entered on the velocity scale and projected upward to the intersection with the consistency curves. The frictional resistance can now be read as before. For the various types of paper stock, the K values from the table on page 3-89 should be used as multipliers of the frictional resistance. See Page 3-103 for general information on Pulp & Paper Industry.
0
I000 2000 3000 4000 5000 6000 X)OO 8000 9000 F L O W - U S GPM
INGERSOLL-RAND CAMERON HYDRAULIC DATA Friction of Paper Stock (Continued) Through 90" Elbows % AIR
DRY CONSISTENCY
PAPER STOCK DATA
I
General Information -Pulp and Paper Industry* Dejnitions of Corn rnonl y Used Terms.
6% 5 % 4k%
Fiber(s):
Cellulosic cell structures derived from the original plantlife source or from previously manufactured paper products; normally considered as water insoluble.
Pulp:
A composite mixture of cellulosic fibers constituting the basic material used for paper making.
Stock:
A designation of pulp (fibers) in process flow. In this Section, the terms "stock" or "paper stock" denote pulp (fibers) and water mixtures or suspensions. This usage excludes the presence of non-cellulosic materials such as fillers or dissolved solids.
Consistency:
Equivalent to the terms "suspended solids" or "insoluble solids." In this Section, "consistency" is defined as the fiber or pulp content expressed as a weight percentage of a paper stock, pulp slurry, or pulp cake (fiber-water mixtures).
Oven Dry:
Abbreviated as OD and signifying a moisture-free condition of pulp (fibers).
Air Dry:
Abbreviated a s AD and denoting an assumed moisture content of lo%, on a wet weight basis, for a pulp (fibers). AD value
=
1.11 x OD value
OD value
=
0.90 x AD value
Tons Per Day: Pulp mill production rate, generally expressed a s tons of OD or AD pulp per day or 24 hours. The production rate can be calculated a s follows: Short Tons of Pulp per Day =
Courtesy Goulds Pumps, Inc.
3-102
* Courtesy of
(Stock Flow in U S GPM) (C) (0.06)
Where: C
=
stock consistency expressed as a percentage
0.06
=
derived constant
IMPCO Division, Ingersoll-Rand Company, Nashua, N.H. 03060.
3- 103
PAPER STOCK DATA Notes: (1) Use OD consistency value to obtain OD pulp production rate.
Commonly required weight-volume relationships a r e listed in Tables 1, 2, 3 and 4 along with values calculated using the equations shown in Table 1. Constants used are:
Use AD consistency value to obtain AD pulp production rate. (2) The equation constant, C, was derived by use of water density value of 8.34 1blU.S. gallon, the density value a t 55°F; therefore, the equation is accurate only a t stock consistencies of 0.1% or less, and a t a stock temperature of 55°F. Solutions of the production rate equation for a normal range of stock flow and consistencies are shown on the chart on page 3-109. Example: What is the flow in US GPM of 5.0% OD consistency stock equivalent to a production rate of 100 short tons of OD pulp per day? Solution: Locate 100 TPD value on Y-axis and follow horizontal line until it intersects the 5.0% consistency line. Follow vertical line from the point of intersection to the X-axis and read 333 U S GPM a s the stock flow equivalent. Note:
Chart can be used for either OD or AD values but not for mixed values.
Weight and V o l u ~ n eRelatiov~shipsfor Cellulose Fiber-Water Susperzsions The accompanying Tables (1, 2, 3 and 4) indicate weight and volume relationships for cellulose fiber-water suspensions. The appropriate values given in Tables 2, 3 and 4 were calculated to reflect stock density change with change in pulp (fiber) content of the stock. An equation, shown below, was derived to enable calculation of stock density a t any given stock consistency. Stock Density (lblgal)
=
(8.34)
+ (3.33
x % cons.)
Where: 8.34 = lb water in US Gal. @ 55°F 3.33 = rate of change factor % Cons. = % OD Stock .consistency, expressed a s a decimal.
(1) 1.388
=
2000 lblshort ton 1440 minutestday
(2) 7.48
=
*U.S. GallonslCubic Foot
**lb/U.S. Gallon of water @ 55°F (corresponding to 62.39 lb per cu ft.) In using the equations in Table 1 the values for Column E should be determined first, then proceed alphabetically starting with Column B. (3) 8.34
=
Table 1. Explanation of Equations Used A = % O.D. consistency
A
B=- 1.388 E
Gal of stock per min per ton of O.D. fiber per 24 hours
C = E x 7.48 D
= 1 = E x 7.48
-1 C
A E=-XL 100 F
=
Lb of O.D. fiber in 100 lbs of stock. % O.D. cons.
1 =
-
1
C
Lb of O.D. fiber i n 1 cu ft of stock
D
Cu ft of stock having 1 lb of O.D. fiber
E
Lb of O.D. fiber in 1 gal of stock
F
Gal of stock having 1 lb of O.D. fiber
L XEL 100 G=--- 1.388 E x 7.48 'H =
I
J =
-
1.388 C
Cu ft of stock per min per ton of O.D. fiber per 24 hours
1 388 x L E 100 = A
1 1
1
1
-1-00 I A
1
K = --I L = 8.34 +
Lb of stock per rnin per ton of O.D. fiber per 24 hours
1
x - = 1-
8.34 x
2000 =
8.34
3.33 x 100
I 8.34 -
2000
I
Lb of water per lb of O.D. fiber
J
Gal of water per Ib of O.D. fiber
K
Gal of water per ton of 0.D fiber
L
Lb total wt per gal of stock
8.34
Table 2-Weight
$0 w Q, 0
and Volume Relationships for Cellulose Fiber-water Suspensions Range 0 000% to 1 60%
Based on oven dry (OD) f ~ b e r % Cons
Gal of stock per mln per
Cu ft of
ton of OD
Lb of OD
f~berIn 100
f ~ b e rper 24
f ~ b e rIn 1 cu
Ib of stock
hours
ft of stock
,000 0.05 0 10 0 20 0.30 0 40 50
330.5 173.5 83 1 55.5 41 6 33 2
0 0314 0.0598 0 127 0 187 0.247 0 313
55 60 65 .70 75
30 2 27 7 25.6 23.7 22 1
0.344 0 375 0 406 0.438 0 469
.80 85 90 .95 1 .OO
20.7 19 5 184 17.5 16 6
1 10 1 20 1 30 1 40 1.50
15 1 13 8 12.8 11 8 11 0
Lb of OD
*
stock hav~ng
Cu ft of stock
Lbs of stock
per rnln per
per mln per
Lbs o f OD
Gal of stock
ton of OD
ton of OD
Lbs of water
Gal of water
Gal of water
Lb total wt
1 Ib of OD
f ~ b e rIn 1
hav~ng1 Ib
f ~ b e rper 24
f ~ b e rper 24
per Ib of OD
per Ib of OD
per ton of
per gal of
fiber
gal of stock
of OD fiber
hours
hours
f~ber
ftber
OD f ~ b e r
stock
31.9 16.9 7.87 5 35 4 05 3 20
004? -008 ,017 .025 ,033 ,042
238 125 58.8 40.0 30.3 23.9
44 2 23.2 10.9 7.42 5 62 4 44
2757 1447 682 464 351 278
1999 999 499 332 249 199
240 120 59.8 39.8 29.9 23 9
479377 239568 11 9664 79617 59713 47722
8.34 8 34 8 35 8 35 8 35 8.36
2.91 2 67 2 46 2.29 2 13
,046 ,050 054 ,058 ,0627
21.8 19.9 18.4 17.1 16.0
4.04 3 70 3.42 3.17 3.00
253 231 214 198 185
181 166 153 142 132
21 7 19.9 18.3 17.1 15.9
43406 39808 36691 34053 31655
8.36 8 36 8.36 8.36 8.36
0.500 0 532 0.563 0.595 0.626
2 00 1.88 1.78 1 68 1.60
,067 ,071I ,0753 0795 ,0837
15.0 14.1 13.3 12.6 12.0
2 77 2.61 2.47 2 34 2 22
174 163 154 146 139
124 117 110 104 99
14.9 14.0 13 2 12 5 11 9
29736 28058 26379 24940 23741
8 37 8.37 8.37 8.37 8.37
0.689 0.751 0.814 0.877 0.941
1.45 1 33 1.23 114 1.06
,0922 1006 ,109 ,117 ,126
10.9 9.95 9.18 8.53 7.95
2 01 1.85 1.70 1.58 1.48
126 116 107 99.2 92.5
10 8 9.87 9.10 8.45 7.87
21583 19736 18202 16883 15756
8 38 8.38 8.38 8 38 8.39
90 82 3 75 9 70 4 65.7
Basis U.S. Gallons.
" Basis temperature of approximately 55'F
Table 3-Weight
and Volume Relationships for Cellulose Fiber-water Suspensions
Based on oven dry (OD) f ~ b e r
"O
Cons
Gal of stock per mln per
Y C-L
0 -1
Range 1 60% to 5.00%
Cu ft of
Cu ft of stock
Lb of stock
per mln per
per mln per
Lb of OD
ton of OD
Lbs ot OD
Lbs ot OD
Gal of stock
ton o f OD
ton o f OD
Lb of water
Gal of water
Gal of water
Lb total wt
f ~ b e rIn 100
f~berper 24
ftber In 1 cu
1 Ib of OD
f ~ b e rIn 1
hav~ng1 Ib
f ~ b e rper 24
f ~ b a rper 24
per Ib of OD
per Ib of OD
per ton of
per gal of
Ib of stock
hours
ft of stock
f~ber
gal of stock
of OD f ~ b e r
hours
hours
f~ber
f~ber
OD f ~ b e r
stock
1 0038 1 0666 1 130 1193 1 256
0 996 0 938 0 885 0 838 0 796
134 143 151 160 168
7 45 7 01 6 62 6 27 5 95
1 1 1 1 1
38 30 23 16 10
86 7 81 7 77 1 73 1 69 4
61 5 57 8 54 6 51 6 49 0
7 37 6 93 6 54 6 19 5 88
14748 13861 13094 12374 11751
8 39 8 39 8 40 8 40 8 40
1 383
stock hav~ng
1 60 1 70 1 80 1 90 2 00
10 3 9 73 9 19 870 8 26
2 20 2 40 2 60 2 80 3 00 3 25
7 51 6 88 6 34 5 88 5 49 5 06
1510 1 637 1 765 1 892 2 05
0 723 0 662 0 611 0 567 0 528 0 487
185 202 219 236 253 274
5 41 4 95 4 57 4 24 3 95 3 65
1 00 0 919 0 848 0 787 0 733 0 676
63 2 57 9 53 4 49 6 46 3 42 7
44 5 40 7 37 5 34 7 32 3 29 8
5 33 4 88 4 49 4 16 3 88 3 57
10672 9760 8993 8321 7746 7146
8 41 8 42 8 42 8 43 8 44 8 44
3 50 3 75 4 00 4 25 4 50
4
69 4 38 4 10 3 85 3 64
2 21 2 37 2 53 2 69 2 85
0 452 0 422 0 395 0 371 0 350
296 31 7 339 360 382
3 38 3 15 2 95 2 78 2 62
0 628 0 585 0 548 0 515 0 486
39 7 37 0 34 7 32 7 30 9
27 6 25 7 24 0 22 5 21 2
3 31 3 08 2 88 2 70 2 54
6619 6163 5755 5396 5084
8 45 8 46 8 47 8 48 8 48
4 75 5 00
34 4 3 27
3 02 3 18
0 332 0315
403 425
2 48 2 35
0 460 0 437
29 2 27 8
20 1 19 0
2 40 2 28
4820 4556
8 49 8 50
PAPER STOCK DATA
INGERSOLL-RAND CAMERON HYDRAULIC DATA Weight-Volume Relationshies
Pulp and Paper Data Relationship of Pulp Production Rate to Stock Flow At Various Stock Consistencies (Tons of Pulp per 24 Hours Versus U.S. G.P.M.)
b
0.2
"Ebz
C
cnwmom m m c c m
cnm*o* mcu-om
or-mmcmm
o-mmm
U ~ N - O
CDmNr n ~ o h ommr-ICAY
q q0 q0 q 0q 00
q0 ?0 ?0 q0 0
0 0 0 0
0 0 0 0 0
00000
m*v* or-omrNe o N-N qN . p crqr qr k rrq-
t m o m h
momu~mm
-----
c n ~ m o m m t r - 9 c -q -t -tqt o $ $o &o c qo
t t r - '
qqqqq
$?%;?
00000
m m ( ~ m ---cum
mw-om
cum*r-o
~ m t -vwmm
0000
00000
KG;:?
;:?no
mmr-cn
x g ; ~ gw;~;
00000
0000
00000
00000
0
moor-
nmwcum cqm-qq """U
m-mom w q q - 7 "om"
- o w m a m - ~ c q -
o o m m
cu qamocq cnEZ>F
qoqo?
-
r-cowm m-me
mme-: momcu
qqmo m q0o0 q0 o 00
0000
L
---- ----.-
3
~ 0 0 0 00 0
a-=
5&?& 2.-e
-
-,0 0
00000
$ 2 T F $ 3o
m m-
a=0
cn cO
.,,,-
$
O
L
" 0 -
,0
00000
o- m a r - : o m o m
*
y : o ? % $ a s ~ s s s sS
V)
a 0=':0
- c z -"""" m?rq
z ... aq
mmme c c m m ""'"
Jg-
1 1 1 1 o
woX
EE ao g z aG 3z
e
n
-OOON
:;''': :::;:
n @ m ~ om m o w m
1
mmwz
2 z z z z llrL
mF-Nz mh-UY
CLnZzz
&
1 /1 0.7-6JN cmmr-m
szz2z Eidzx
Note: Use OD 70 Consistency with Tons of OD Pulp. Use AD 'fi Consistency with Tons of A D Pulp.
INGERSOLLRAND
CAMERON HYDRAULIC DATA
Friction of Water Head Losses Through Valves and Fittings Head losses (hf) through valves, fittings, sudden contractions and efilargements, entrance and exit losss can be expressed in terms of the velocity head (V2/2g)by using the applicable resistance coefficient (K) in the equations:
Select applicable (K) from tables on pages 3-111 to 3-117; select (V) for average velocity in pipe of diameter required to accommodate fitting; see examples on page 3-119. A second method of expressing head losses (hf) through valves and fittings etc. is in terms of the equivalent length of straight pipe that will produce the same loss as calculated by the Darcy-Weisbach equation for straight pipe. (See table on page 3-120). The applicable equations are:
where d = pipe diameter-inches D = pipe diameter in feet f = friction factor (from chart, Page 3-11) for zone of complete turbulence. g = gravitational constant -32.174 ft/sec2 hf = head loss in feet of liquid K = resistance coefficient (from tables on pages 3-111 to 3-120) is based on test data, or extrapolated from test data; and depends on design, size and type of fitting. L =friction loss in pipe fittings in terms of equivalent length in feet of straight pipe (See table page 3-120). V = average velocity in pipe of diameter required to accommodate fittingftlsec. From the above one can solve for (L) and LID ratio using the value of K from the tables and selecting f for the zone of complete turbulence. A third method of expressing head losses, particularly for control valves, is in terms of a flow coefficient C,. This is defined as the flow of liquid at 60°F in gallons per minute at a pressure drop of one pound per square inch across the valve. The relationship of C, and K is shown by the following formulas. 29.9 x d2 894 x d4 C, = -------- and K = (CJ2 The tables on pages 3-111 to 3-119 list K values for schedule 40 pipe in sizes up to and including 24" and are based on flows for complete turbulence. Since the K values between pipe sizes are close, it is reasonable to interpolate between sizes if they do not correspond to schedule 40 diameters. For K values for pipes larger than 24" it is suggested that the 24" value be used. The above text and tables on pages 3-111 to 3-120 are based on material in Crane Co. Technical Paper No. 410*. Reference to this paper is suggested for more complete review of this subject.
a
* I t should be noted that there is considerable variation in published values of resistance coefficient K for different valves and fittings.
FRICTION- WATER-PIPE FITTINGS Friction of Water (Continued) Friction Loss in Pipe Fittings Resistance coefficient K
use in formula h, = K
.
" 29
i
INGERSOLLRAND CAMERON HYDRAULIC M A
Friction of Water (Continued) Friction Losses in Pipe Fittings
Friction of Water (Continued) Friction Losses in Pipe Fittings Resistance coefficient K
z
0
1
-
u,
m
Q,
r.
0
2
g
A
-
In
0;
2
Q
t-
2
w
-
I-
m
)
7
'
3
& N m2 ' m C g
z
Y C
U
-
N
X
F
( 0 0 )
Q)
2 2
0 r
-
m
v-
2:
W
C
2
In
0
7
F
7
0
2
m
0
CU
*
2
2 *
w
2
S
-
-
2
I-
-
-
.-
,rr
. 13
2
z z
2
P O I
m
I - 0
0
v - r .
2:
I-
2
2 2
2
0,
0
7-
$ 3 0 0
" 2
W
Q
W v )
LD
0
.-
$ 2
Q,
I-
z
O I L
$ 2
2
I n 0
0
e
-
P
2 2
m
'9
0
0
rp*
.-
.r
2
w
.-
-
7
U7P
N
7
X
f
N
N
0
0
3
.-
U
2 :
2 2
7-
F
In
2
e
Q
m
2
v
$
.gl n
use in formula h, = K -
2
2
7
a
I N
Resistance coefficient K use in formula h, = K -
i
2
2 I-
In
u,
In
0
0
CU
2;
2
rn
-
m
7
0
X
2
2
e
0
0
m
'?X
2
g z
? I an
0
a
C
2 =
Z J - ~f
z "
a e1.X i
rf 01
E
i .
.4
5 w.
;
,q;rl-" U
w a rn
-n
e+i~
-0
-
qii!l 0
w rn h
FRICTION- WATER-PIPE FITTINGS
I Eu
L
\
INGERSOLL-RAND CAMERON HYDRAULIC DATA
FRICTION- WATER-PIPE FITTINGS
INGERSOLL-RAND CAMERON HYDRAUUC DATA Friction of Water (Continued) Friction Loss in Pipe Fittings Resistance coefficient
Pipe exit
I .-
--I
1
*
1 -
Pipeentrance
I Pipe entrance flush
use in formula h, = K
K value
Description projecting sharp edged rounded inward projecting
0.78
sharp edged
0.5
=
0.02
rld = 0.04
0.28 1
0.24
0.06
0.15
rld =0.10
0.09
rld
From Crane Co. Technical Paper 410.
All pipe sizes
rld
=
FRICTION- WATER-PIPE FITTINGS Friction of Water (Continued)
i
Fitting
i
INGERSOLLRAND
FRICTION- WATER-PIPE FITTINGS
CAMERON HYDRAULIC DATA --
Friction of Water (Continued)
Friction of Water Friction toss in Pipe Fittings
Formulas for Calculating "K" Factors for Sudden and Gradual Contractions and Enlargements
Resistance coefficient K use in formula h, = K -
(K values are for velocity in the small pipe) Gradual Contraction (Based on velocity in small pipe)
- I
a?
~ d ,
il
d,
I'
The K factors in the table below are given for use in making estimates of friction loss for fittings not covered in the preceding pages.
a, I
Type of fitting
K value
Disk or wobble meter Rotary meter (star or cog-wheel piston) Reciprocating piston meter Turbine wheel (double-flow) meter Bends having corrugated inner radius
3.4 to 10 10 15 5 to 7.5 1.3 to 1.6 times value for smooth bend
Example: Determine L (Friction loss in pipe fittings in terms of equivalent length in feet of straight pipe). Assume a 6" angle valveSchedule 40 pipe size. Select K from table on page 3-111; select D and f for schedule 40 pipe from table below where D is pipe diameter in feet.
Gradual Enlargement (Based on velocity in small pipe)
Pipe size inches sch. 40
D Feet
f
Y2
0.0518 0.027
%
0.0687 0.025 0.0874 0.023 0.115 0.022 0.1342 0.021 0.1723 0.019
1 4
1% 2
Pipe size inches sch. 40
2% 3 4 5
6 8
D Feet
0.2058 0.2557 0.3355 0.4206 0.5054 0.6651
f
Pipe size inches sch. 40
D Feet
f
0.018 0.018 0.017 0.016 0.015 0.014
10 12 14 16 18 20
0.835 0.9948 1.0937 1.250 1.4063 1.5678
0.014 0.013 0.013 0.013 0.012 0.012
Pipe size inches
D Feet
f
24 30* 36. 42' 48'
1.8857 2.3333 2.8333 3.3333 3.8333
0.012 0.011 0.011 0.010 0.010
Based on 1"thick wall
K=
2.6 sin
2
Solution: For angle valve in 6" pipe 1-
dl2
d?)
K from page 3-1 11 = 2.25; D = 0.5054; f = 0.015 L = -KD f
-
2.25 x 0.5054 = 75.8 ft.-equivalent 0.015
length of straight
pipe. (this is shown in the table on page 3-120)
v2
Substitute above values of K in formula h, = K If desired, 2g areas can be used instead of diameters in which case substitute a, dl2 for a2 dZ2
and
(:]2f~r(--)
For an example not covered in the table on page 3-120, take a 4" plug valve with flow through branch (From page 3-112; K = 1.53)
dl = 30.2
ft. -equivalent
length of straight pipe.
b
u
0
m
c
D
L
mm '?=?"=?" b m w w w
maurn"0=?0? a m m m w
N
h h r - m m oyooo
II
m
L
N
?? '
Zm 0 Z
FRICTION- WATER-PIPE FITTINGS
CAMERON HYDRAULIC DATA
INGERSOLLflAND
N
O
U
w-"" m-mwm F N N N O
---
~
t-m ocnomwr-0-rn 7
-
2gZ
tC 7
--
-
o ~ m w m m m ~ mw o w .---cum m u *
-
Friction of Water (Continued) Resistance of Valves and Fittings to Flow of Fluids in Equivalent Length of Pipe
-
;,
11
2
0
Globc Valvc. Open mw YN'Cy? t-m-mrn - 7 -
k=?N?? N N
~ N
~
N
,- -
ON?-
- mWa t . ~ m~ m m*
U
\
_ ,
-NNPYU
S m
~5
4
CU
mCU---
8
<.,
A>.
- c
12%
-
m h w - U
b N m O b
~~~~~ z % $ z z $ z m m u ~ ( ~ m m m w
- - - N
~
~
(
7
# f z gN ma w$ ma wc o,
i5 P o U S
u
t j ~ l k n
2 3
n o
mdlgg
?,m G,, o N w . 7 - - N
-NUlOln T-:No!0 ?**-N O N ~ O ~ g~ 3 ~ m w - m - - - w ( ~
sfieee s y = c F mwlocom
- - - N N
U
-
~
-m m q ~ b (
U
~
P
C!O!T'?* T00,01r,lo , mmmmw
N O W P $ P f ~ ~b b r
0 " -
2
N
n -
--
b
u w m F T
Angle Valve, Open
~
0
Swing Check Valve, Fully Open
7
F - ( U8r n4
-??,?
q
~
0 m 7 - 7 w-mN-
mN N aO - bm %
7
0
'2
%
m e e m 0 b m m - u
7
~ 6.2 mCDh
c
- - N N ~
u m w b m
Z5'ZZZ
-
m o -
,Standard Tcr
Borda Entrance
Close Return Be 0
?
m e e m h
I1/
0
OY
-NNNO
CIoscLi Closed
m
mWo m m
W
7
I?/
-
0
N b m t ee.mw
- ( U N O ~
-
Example: The dotted line shows that the resistance of a 6-inch Standard Elbow is equivalent to approximately 16 feet of 6-inch Standard Pipe. Note: For sudden enlargements or sudden contractions, use the
Standard Tce Through Side Ou
0
7
EX%
m
L
g.&
kKjS:&
?$5'2b$
$22"
22"""E
z!2P
0 0 0 0 0
00000
0 0 0 0 0
0 0 0 0 0
0 0 0
N O -O ( UUNUOJ m w w q q q
W W U J N P
bO,COrDb-
W -
WmNOz
O W b -QNa
qFqqq
q q q ?
qqqq
LL
z m w l n 3
g .a N 0
Q*
0
3
tongSweep Elbow o r 2 run of Standard Tcc From Crane Co. Technical Paper No. 409. Data based on the above chart are satisfactory for most applications; for more detailed data and information refer to pages 3-1 10 to page 3-120 which are based on crane Co. ~echnicalPaper NO.410.
3-121
INGERSOLLRAND
CAMERON HYDRAULIC DATA
Friction Losses-Valves and Fittings -Viscous Liquids Very little reliable test data on losses through Valves and Fittings for viscous liquids is available. In the absence of meaningful data some engineers assume the flow is turbulent and use the equivalent length method; i.e. where friction losses through valves and fittings are expressed in terms of equivalent length of straight pipe (see pages 3-120 and 3-121). Calculations made on the basis of turbulent flow will give safe results since friction losses for turbulent flow are higher than for laminar (viscous) flow.
Miscellaneous Formulas Discharge of fluid through valves and fittings I
gal per min
=
19.65 d2
This equation may be used for determining the flow in a system if K is the sum of all the resistances in the system including entrance and exit losses. Where: d = pipe diameter-inches hL = friction loss in feet of liquid K = sum of all resistance in the system including entrance and exit losses.
Velocity (fps) =
0.4085 gpm d2(in.)
SECTION IV
PROPERTIES OF
INGERSOLL-RAND
CAMERON HYDRAULIC DATA
PROPERTIES OF LIQUIDS
CONTENTS OF SECTION 4
Density Information
Properties of Liquids
The DENSITY of a liquid is t h e amount of mass of that liquid (lb, kg, g) contained in a unit of volume (ft", gal., m3, cm" etc.). Thus, the units of density a r e lb/ft< lblgal., kg/m3, glcm" etc.
Page Density information . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4-3
Properties of water . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4-4 Density-specific gravity data API scales . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4-6 Properties of sodium and calcium chloride . . . . . . . . . . . . . . . . . 4-10 Properties of caustic soda . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4-11 Baume scales. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4-12 Densities of sugar solutions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4-13 Specific gravity of petroleum vs. temperature ............. 4-14 Specific gravity of hydrocarbons. . . . . . . . . . . . . . . . . . . . . . . . . .4-15 Specific gravity of miscellaneous liquids . . . . . . . . . . . . . . . . . . . 4-16 Specific gravities of aqueous solutions. . . . . . . . . . . . . . . . . . . . . 4-17 Specific kravities of refrigerant liquids . . . . . . . . . . . . . . . . . . . . 4-18 Vapor pressure information Vapor pressure of gasolines . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4-19 Vapor pressure of hydrocarbons. . . . . . . . . . . . . . . . . . . . . . . . . . 4-20 Vapor pressure of various liquids. . . . . . . . . . . . . . . . . . . . . . . . . 4-21 Vapor pressure of refrigerant liquids . . . . . . . . . . . . . . . . . . . . . 4-22 Viscosity information. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .4-23 Viscosity conversions . . . . . . . . . . . . . . . . . . . . . . . . . . ..4-25 t o 4-28 Viscosity of crankcase oils . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4-28 Viscosity of turbine oils . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4-29 Viscosity of fuel oils . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4-30 Viscosity of petroleum oils vs. temperature ............... 4-31 Viscosity of miscellaneous liquids . . . . . . . . . . . . . . . . . . . . . . . . . 4-32 Viscosity of refrigerant liquids . . . . . . . . . . . . . . . . . . . . . . . . . . . 4-33 Viscosity of sucrose solutions . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4-34 Viscosity blending chart . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4-35 Petroleum temperature volume relations . . . . . . . . . . . . . . . . . . 4-36 Viscosities and specific gravities of misc. liquids . . . .4-37 t o 4-45 Pump performance with viscous liquids . . . . . . . . . . . . . . . . . . . 4-45 Pump performance corrections charts. . . . . . . . . . . . . 4-47 and 4-48 Pump performance on paper stock . . . . . . . . . . . . . . . . . . . . . . . . 4-49 Slurry information . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .4-50 t o 4-56 4- 2
Because gravity exerts a force called "weight" on a given mass, the t e r m s "weight density" o r gravity of a liquid a r e often used.*
I I
I
, 1
I I
The SPECIFIC GRAVITY of a liquid is its density relative t o that of water; i.e., its density divided by t h a t of water. The water temperature for this purpose is usually 60°F (15.6"C) where its density is 0.9991 g/cm3(Page 4-4). F o r some purposes a water temperature of 39.2"F (4°C) is used
as a base of reference which is its point of maximum density, namely 1.000 g/cm3; for other purposes a water temperature of 68°F (20°C) may be selected a s a base of reference. The base temperature of 60°F (15.6"C)is often specified together with t h a t of t h e liquid whose specific gravity is involved. Thus, 140°F water with a density of 0.9832 glcm3 has a specific gravity a t 140°/60"F of 0.9841 (= 0.983210.9991). I t can be seen t h a t the specified gravity of a liquid is about numerically equal t o its density in g/cm3. Measuring methods have led t o other density units, such a s degrees API or degrees Baume, which a r e related t o specific gravity through the formulas and tables on the following pages.
SPECIFIC WEIGHT a s used in various equations in this data book is t h e weight in lb p e r cu ft. The specific weight of water a t 60°F (15.6%) is 62.3714 lb/ft3; and a t 68°F (20°C) it is 62.3208 lblft? F o r other temperatures proper specific weight values should be used (see page 4-4); also for f u r t h e r discussion refer back to page 2-3. * The
density definition involves strictly mass. Weight and mass are numerically
equal a t earth sea level in the usual English system of units (where lb is properly distinguished as lb,,,, or lb,,,,,.,.). Systems that derive either the mass or force unit in terms of the other via Newton's second law of motion-expressed as F = ma-(such as the International (SI) System) do not have this numerical equality, but also do
not need the gravitational constant go = 32.174 (lb,,l,,/lbf,,,,,) ft/sec2 in calculations involving fluid motion. If the lb,,,s,-lbf,,,,.c, system is used, F = ma must be replaced by 1 F = - ma. Because of this, the factor mlg, (= 0.0311 x m in lb,,,,) per unit volume go is sometimes called mass density, even though the unit of density expressed as lb,,,,, Per unit volume is also a "mass density". See pp. 8-3 to 8-7. Note: g,, is gravitational constant a t sea level-32.174 ftisec'.
CAMERON HYDRAULIC DATA
Properties of Water at Various Temperatures (Continued)
Properties of Water at Various Temperatures
Temp F
Pressure of saturated vapor lbiln2 abs
Pressure of
Speclf~cvolume f t ' Ib
gal Ib
Density speclftc wt Ib ft'
'glcm
Convers~on factor ft Ib In-
K~nematlc v~scostty cent~stokes
Tempera lure F
C
32 33 34 35
008859 009223 009600 0 09991
0016022 0016021 0016021 0 016020
01199 01198 01198 0 1198
62414 62418 62418 62 420
09998 09999 09999 0 9999
2307 2307 2307 2 307
1 79 1 75 1 72 1 68
32 33 34 35
0 06 11 17
36 37 38 39 40
0 10395 010815 011249 011698 012163
0 016020 0016020 0016019 0016019 0016019
0 1198 01198 01198 01198 01198
62 420 62420 62425 62425 62425
0 9999 09999 10000 10000 10000
2 307 2307 2307 2307 2307
1 66 1 63 1 60 1 56 1 54
36 37 38 39 40
22 28 33 39 44
41 42 43 44 45
012645 013143 013659 014192 014744
0016019 0016019 0016019 0016019 0016020
01198 01198 01198 01198 01198
62426 62426 62426 62426 6242
10000 10000 10000 10000 09999
2307 2307 2307 2307 2307
1 52 1 49 1 47 1 44 1 42
41 42 43 44 45
5 56 61 67 72
46 47 48 49 50
015314 0 15904 016514 017144 017796
0016020 0 016021 0016021 0016022 0016023
01198 0 1198 01198 01198 01199
6242 62 42 6242 6241 6241
09999 0 9999 09999 09998 09998
2307 2 307 2307 2307 2307
1 39 1 37 1 35 1 33 1 31
46 47 48 49 50
78 83 89 94 10
51 52 53 54 55
018469 019165 019883 0 20625 021392
0016023 0016024 0016025 0 016026 0016027
01199 01199 01199 0 1199 01199
6241 6241 6240 62 40 6239
09998 09997 09996 0 9996 09995
2307 2307 2308 2 308 2308
1 28 1 26 1 24 1 22 1 20
51 52 53 54 55
106 111 117 122 128
56 57 58 59 60
022183 0 23000 023843 024713 0 25611
0016028 0 016029 0016031 0016032 0 016033
01199 0 1199 01199 01199 0 1199
6239 62 39 6238 6238 62 37
09994 0 9994 09993 09992 0 9991
2308 2 308 2308 2309 2 509
1 19 1 17 116 1 14 112
56 57 58 59 60
133 139 144 15 156
62 64 66 68 70
0 27494 029497 031626 0 33889 036292
0 016036 0016039 0016043 0 016046 0016050
0 1200 01200 01200 0 1200 01201
62 36 6235 6233 62 32 6231
0 9989 09988 09985 0 9983 09981
2 309 2310 2310 2 311 2311
1 09 1 06 1 03 1 00 0 98
62 64 66 68 70
167 178 189 20 211
75 80 85 90 95
042964 050683 059583 069813 081534
0016060 0016072 0016085 0016099 0016114
01201 01202 01203 01204 01205
6227 6222 6217 6212 6206
09974 09967 09959 09950 09941
2313 2314 2316 2318 2320
0 90 0 85 0 81 0 76 0 72
75 80 85 90 95
23 9 26 7 29 4 32 2 35
100 110 120 130 140
094924 12750 16927 2 2230 28892
0016130 e016165 0016204 0016247 0016293
01207 0 1209 01212 0 1215 01219
6200 61 98 6171 61 56 6138
09931 09910 09886 09860 09832
2323 2328 2333 2 340 2346
0 69 0 61 0 57 0 51 0 47
100 110 120 130 140
37 8 433 48 9 54 4 60
150 160 170 180 190
37184 4 7414 5 9926 7 5110 9 340
0016343 0016395 0016451 0016510 0 016572
01223 0 1226 0 1231 0 1235 0 1240
6119 6099 60 79 60 57 60 34
09802 09771 09737 0 9703 0 9666
2353 2 361 2 369 2 377 2 386
0 44 0 41 0 38 036 033
150 160 170 180 190
65 6 71 1 76 7 822 878
numerlcally equal to speclflc grav~tybasls temperature reference of 39.2"F (4°C) Calculated from data in ASME Steam Tables
' Approximately
Note: For complete Steam Tables see pages 5-7 through 5-24.
saturated Temp F
vapor
Specific volume
Density specific wt.
Conversion factor
Kinematic viscosity
ftllb!inY
centistokes
0.9628 0.9589 0.9580 0.9549 0.9507 0.9464
2.396 2.406
0.31 0.29
0.9420 0.9374 0.9327 0.9279 0.9228
2.449 2.461 2.473 2.486 2.500
*
ft3!lb
gal/lb
Ib/ft3
'gi~m.~
230 240
11.526 14.123 14.696 j7.186 20.779 24.968
0.016637 0.016705 0.016719 0.016775 0.016849 0.016926
0.1245 0.1 250 0.1 251 0.1255 0.1260 0.1 266
60.11 59.86 59.81 59.61 59.35 59.08
250 260 270 280 290
29.825 35.427 41.856 49.200 57.550
0.017006 0.01 7089 0.017175 0.017264 0.01736
0.1272 0.1278 0.1285 0.1291 0.1299
58.80 58.52 58.22 57.92 57.60
200 210 212 ZT(I
lWln2 abs
2.416 2.426 2.437 0.24
Temperature
"F 200 210 212 220 230 240 250 260 270 280 290
' Approximately numerically equal to speciftc gravity basis temperature reference of 39.2"F (4°C) Calculated from data in ASME Steam Tables.
"C
93.3 98.9 100.0 104.4 110 115.6121.1 126.7 132.2 137.8 143.3
PROPERTIES OF LIQUIDS
CAMERON HYDRAULIC DATA
Pounds per gallon and specific gravities corresponding to degrees API at 60°F (Continued)
Pounds per gallon and specific gravities corresponding to degrees API at 60°F
Tenths of Degrees
Deg API
---I-API
Tenths of Deqrees
2
3
4
5
42 6
7
8
9
43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62
63 64 65 66
67 68 69
7o 71 72 73
74
0
1
2
3
4
5
6
7
8
9
6.790 .8155 6.752 ,8109 6.713 ,8063 6.675 ,8017 6.637 ,7972 6.600 -7927 6.563 ,7883 6.526 ,7839 6.490 ,7796 6.455 ,7753 6.420 ,7711 6.385 ,7669 6.350 ,7628 6.316 .7587 6.283 ,7547 6.249 .7507 6.216 ,7467 6.184 ,7428 6.151 -7389 6.119 ,7351 6.087 ,7313 6.056 ,7275 6.025 .7238 5.994 ,7201 5.964 -7165 5.934 7128 5.904 ,7093 5.874 ,7057 5.845 .TO22 5.817 ,6988 5.788 ,6952 5.759 .6919 5.731 ,6886
6.786 .8151 6.748 .81 04 6.709 ,8058 6.671 ,8012 6.633 .7967 6.596 ,7923 6.560 ,7879 6.523 ,7835 6.487 ,7792 6.451 .7749 6.416 ,7707 6.381 ,7665 6.347 ,7624 6.313 ,7583 6.280 ,7543 6.246 -7503 6.213 ,7463 6.180 ,7424 6.148 ,7385 6.116 .7347 6.084 ,7309 6.053 ,7271 6.022 ,7234 5.991 ,7197 5.961 -7161 5.931 .7125 5.901 ,7089 5.871 ,7054 5.842 ,7019 5.814 ,6984 5.785 .6950 5.757 ,6916 5.728 6882
6.782 ,8146 6.744 .81 00 6.705 ,8054 6.667 ,8008 6.630 ,7963 6.592 ,7918 6.556 ,7874 6.520 ,7831 6.484 ,7788 6.448 -7745 6.413 ,7703 6.378 ,7661 6.344 ,7620 6.310 ,7579 6.276 -7539 6.243 ,7499 6.209 ,7459 6.177 ,7420 6.144 .7381 6.113 ,7343 6.081 .7305 6.050 .7268 6.019 ,7230 5.988 -7194 5.958 .7157 5.928 7121 5.898 ,7086 5.868 .7050 5.839 ,7015 5.811 ,6981 5.782 ,6946 5.754 .6913 5.726 ,6879
6.779 ,8142 6.740 ,8095 6.701 ,8049 6.663 ,8003 6.626 -7958 6.589 .7914 6.552 ,7870 6.516 ,7826 6.480 ,7783 6.445 .7741 6.410 -7699 6.375 .7657 6.340 .7616 6.306 ,7575 6.273 .7535 6.240 ,7495 6.206 ,7455 6.174 ,7416 6.141 -7377 6.109 ,7339 6.078 ,7301 6.047 ,7264 6.016 7227 5.985 ,7190 5.955 ,7154 5.925 ,7118 5.895 .7082 5 866 .7047 5836 ,7012 5.808 ,6977 5779 .6943 5.751 .6909 5.723 ,6876
6.775 ,8137 6.736 ,8090 6.697 ,8044 6.660 ,7999 6.622 -7954 6.585 -7909 6.548 .7865 6.512 ,7822 6.476 .7779 6.441 ,7736 6.406 ,7694 6.371 .7653 6.337 -7612 6.303 ,7571 6.270 ,7531 6.236 ,7491 6.203 .7451 6.170 ,7412 6.138 ,7374 6.106 ,7335 6.075 ,7298 6.044 ,7260 6.013 ,7223 5.982 ,7186 5.952 -7150 5.922 ,7114 5.892 7079 5.863 ,7043 5.833 -7008 5.805 -6974 5.776 .6940 5.748 ,6906 5.720 ,6872
6.771 ,8132 6.732 ,8086 6.694 ,8040 6.656 ,7994 6.618 -7949 6.582 ,7905 6.545 ,7861 6.509 -7818 6.473 .7775 6.437 ,7732 6.402 ,7690 6.368 ,7649 6.334 ,7608 6.300 ,7567 6.266 .7527 6.233 .7487 6.199 .7447 6.167 ,7408 6.135 ,7370 6.103 ,7332 6.072 ,7294 6.040 7256 6.010 ,7219 5.979 -7183 5949 ,7146 5.919 -7111 5.889 ,7075 5.860 ,7040 5.831 ,7005 5.802 ,6970 5.773 ,6936 5.745 ,6902 5.718 .6869
6.767 ,8128 6.728 ,8081 6.690 ,8035 6.652 .7990 6.615 ,7945 6.578 ,7901 6.541 ,7857 6.505 ,7813 6.469 ,7770 6.434 .7728 6399 7686 6.365 ,7645 6.330 ,7603 6.296 ,7563 6.263 7523 6.229 ,7483 6.196 ,7443 6.164 ,7405 6.132 .7366 6.100 .7328 6.068 7290 6.037 ,7253 6.007 .7216 5.976 ,7179 5.946 ,7143 5.916 ,7107 5886 ,7071 5 857 7036 5.828 ,7001 5.799 ,6967 5.771 ,6933 5.743 .6899 5.715 ,6866
6.763 .a123 6.724 .a076 6.686 ,8031 6.648 ,7985 6.611 -7941 6.574 ,7896 6.537 ,7852 6.501 ,7809 6.466 -7766 6.430 ,7724 6.396 ,7682 6.360 .7640 6.326 .7599 6293 .7559 6.259 ,7519 6.226 ,7479 6.193 .7440 6.161 .7401 6.129 ,7362 6.097 ,7324 6.065 ,7286 6.034 ,7249 6.004 ,7212 5973 .7175 5.943 7139 5.913 -7013 5.883 ,7068 5.854 .TO33 5.825 ,6998 5.796 ,6964 5.768 ,6929 5.740 ,6896 5.712 .6862
6.759 ,8118 6.720 ,8072 6.682 ,8026 6.645 ,7981 6.607 .7936 6.571 -7892 6.534 .7848 6.498 7805 6.462 .7762 6.427 ,7720 6.392 ,7678 6.357 ,7636 6.323 ,7595 6.290 ,7555 6.256 ,7515 6.223 ,7475 6.190 ,7436 6.158 .7397 6.125 ,7358 6.094 .7320 6.062 ,7283 6.031 ,7245 6.000 ,7208 5.970 ,7172 5.940 ,7136 5.910 ,7100 5.880 .7064 5.851 ,7029 5.823 ,6995 5.793 ,6960 5.765 ,6926 5.737 ,6892 5.709 ,6859
6.756 ,8114 6.716 ,8067 6.679 .a022 6.641 ,7976 6.604 ,7932 6.567 -7887 6.530 -7844 6.494 ,7800 6.459 ,7758 6.423 ,7715 6.389 ,7674 6.354 ,7632 6.320 ,7591 6.287 ,7551 6.253 -7511 6.219 .7471 6.187 ,7432 6.154 ,7393 6.122 -7354 6.090 -7316 6.059 -7279 6.028 -7242 5.997 .7205 5.967 7168 5.937 ,7132 5.907 ,7096 5.877 -7061 5 848 .7026 5.820 ,6991 5791 ,6957 5.762 6923 5734 .6889 5.706 6856
I
PROPERTIES OF LIQUIDS
INGERSOLL-RAND CAMERON HYDRAULIC DATA Pounds per gallon and specific gravities corresponding to degrees API at 60°F (Continued)
Pounds per gallon and specific gravities corresponding to degrees API at 60°F (Continued)
Tenths of Degrees
2 '7
0
5.703 ,6852 5.676 76 .6819 77 5.649 -6787 5.622 78 ,6754 5.595 79 .6722 5.568 80 ,6690 5.542 81 .6659 5.516 82 .6628 5.491 83 ,6597 5.465 84 ,6566 5.440 85 ,6536 5.415 86 ,6506 87 5.390 ,6476 5.365 88 .6446 5.341 89 ,6417 5.316 90 ,6388 91 5.293 -6360 5.269 92 ,6331 5.245 93 ,6303 94 5.222 ,6275 5.199 95 ,6247 5.176 96 ,6220 5.154 97 ,6193 5.131 98 -6166 99 5.109 ,6139 5.086 100 ,6112 1015.07 ,6086 1025.05 ,6060 103 5.02 ,6034 5.00 104 ,6008 4.98 105 ,5983 4.96 106 -5958 4.94 107 ,5933 75
1
5.701 ,6849 5.673 ,6816 5.646 ,6783 5.619 -6751 5.592 .6719 5.566 ,6687 5.540 ,6656 5.514 ,6625 5.489 .6594 5.462 .6563 5.437 ,6533 5.412 ,6503 5.387 ,6473 5.363 ,6444 5.338 ,6414 5.314 ,6385 5.291 ,6357 5.266 ,6328 5.243 .6300 5.220 ,6272 5.196 ,6244 5.174 ,6217 5.151 ,6190 5.129 ,6163 5.107 ,6136 5.09 ,6110 5.07 ,6083 5.04 ,6058 5.02 ,6032 5.00 ,6006 4.98 ,5981 4.96 ,5955 4.94 ,5930
2 5.698 .6846 5.671 ,6813 5.643 ,6780 5.617 ,6748 5.590 ,6716 5.563 ,6684 5.537 ,6653 5.511 ,6621 5.486 ,6591 5.460 .6560 5.435 .6530 5.410 ,6500 5.385 ,6470 5.361 ,6441 5.336 .641 1 5.312 ,6382 5.288 ,6354 5.264 ,6325 5.241 ,6297 5.217 -6269 5.194 ,6242 5.172 ,6214 5.149 ,6187 5.126 ,6160 5.104 ,6134 5.09 ,6107 5.06 ,6081 5.04 .6055 5.02 6029 5.00 ,6003 4.98 ,5978 4.96 ,5953 4.94 .5928
3 5.695 .6842 5.668 ,6809 5.641 ,6777 5.614 ,6745 5.587 ,6713 5.561 ,6681 5.534 ,6649 5.508 ,6618 5.483 ,6588 5.458 ,6557 5.432 .6527 5.407 ,6497 5.382 ,6467 5.358 ,6438 5.334 ,6409 5.310 .6380 5.286 ,6351 5.262 .6323 5.238 ,6294 5.215 ,6267 5.192 ,6239 5.170 ,6212 5.146 ,6184 5.124 ,6158 5.102 ,6131 5.08 ,6104 5.06 .6078 5.04 ,6052 5.02 ,6026 5.00 ,6001 4.98 5976 4.95 ,5950 4.93 .5925
4 5.693 ,6839 5.665 .6806 5.638 ,6774 5.611 ,6741 5.584 ,6709 5.558 .6678 5.532 ,6646 5.506 ,6615 5.480 -6584 5.455 ,6554 5.430 ,6524 5.405 ,6494 5.380 ,6464 5.356 .6435 5.331 ,6406 5.307 ,6377 5.283 ,6348 5.260 ,6320 5.236 .6292 5.213 ,6264 5.190 ,6236 5.167 ,6209 5.144 ,6182 5.122 ,6155 5.100 .6128 5.08 .6102 5.06 ,6076 5.04 ,6050 5.02 ,6024 4.99 ,5998 4.97 ,5973 4.95 5948 4.93 ,5923
Tenths of Degrees
6
5 5.690 ,6836 5.662 .6803 5.635 .6770 5.608 ,6738 5.582 .6706 5.556 .6675 5.529 .6643 5.503 ,6612 5.477 ,6581 5.453 ,6551 5.427 ,6521 5.402 ,6491 5.377 .6461 5.353 .6432 5.329 ,6403 5.305 ,6374 5.281 ,6345 5.257 ,6317 5.234 ,9289 5.211 .6261 5.187 ,6233 5.164 ,6206 5.142 .6179 5.120 ,6152 5.098 ,6126 5.08 ,6099 5.06 .6073 5.04 ,6047 5.01 ,6021 4.99 ,5996 4.97 .5970 4.95 ,5945 4.93 -5921
5.687 ,6832 5.660 ,6800 5.632 ,6767 5.606 ,6735 5.579 -6703 5.553 ,6671 5.526 ,6640 5.501 -6609 5.475 ,6578 5.450 .6548 5.425 .6518 5.400 ,6488 5.375 ,6458 5.351 ,6429 5.326 .6400 5.302 ,6371 5.278 -6342 5.254 .6314 5.232 ,6286 5.208 ,6258 5.185 .6231 5.162 ,6203 5.140 .6176 5.118 -6150 5.096 .6123 5.08 ,6097 5.05 ,6070 5.03 ,6044 5.01 .6019 4.99 ,5993 4.97 ,5968 4.95 ,5943 4.93 ,5918 1
7 5.685 -6829 5.657 ,6796 5.630 ,6764 5.603 ,6732 5.577 ,6700 5.550 .6668 5.524 ,6637 5.498 ,6606 5.472 ,6575 5.448 ,6545 5.422 ,6515 5.397 ,6485 5.372 .6455 5.348 .6426 5.324 ,6397 5.300 ,6368 5.276 ,6340 5.252 ,6311 5.229 .6283 5.206 ,6256 5.183 ,6228 5.160 ,6201 5.138 ,6174 5.116 ,6147 5.093 ,6120 5.07 ,6094 5.05 ,6068 5.03 ,6042 5.01 ,6016 4.99 ,5991 4.97 ,5965 4.95 ,5940 4.93 ,5916
8 5.682 .6826 5.654 -6793 5.627 .6761 5.600 ,6728 5.574 ,6697 5.548 .6665 5.522 ,6634 5.496 ,6603 5.470 6572 5.445 ,6542 5.420 ,6512 5.395 ,6482 5.370 ,6452 5.346 ,6423 5.321 ,6394 5.297 ,6365 5.274 ,6337 5.250 ,6309 5.227 ,6281 5.204 ,6253 5.180 .6225 5.158 ,6198 5.136 ,6171 5.113 ,6144 5.091 .6118 5.07 .6091 5.05 ,6065 5.03 ,6039 5.01 .6014 4.99 ,5988 4.97 ,5963 4.94 ,5938 4.92 ,5913
9 5.679 6823 5.652 ,6790 5.624 ,6757 5.598 ,6725 5.571 .6693 5545 ,6662 5.519 6631 5.493 .6600 5.467 ,6569 5.443 ,6539 5.417 -6509 5.392 ,6479 5.367 .6449 5.343 ,6420 5.319 ,6391 5.295 ,6362 5.271 ,6334 5.248 ,6306 5.225 .6278 5.201 ,6250 5.179 ,6223 5.156 ,6195 5.133 ,6168 5.111 .6141 5.089 .6115 5.07 6089 5.05 ,6063 5.03 ,6037 5.01 ,6011 4.98 .5986 4.96 ,5960 4.94 -5935 4.92 ,5911
Deg API
108 109 110 111
112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 I35 136 I37 138 I39
0 4.92 ,5908 4.90 ,5884 4.88 -5859 4.86 .5835 4.84 .5811 4.82 ,5787 4.80 ,5764 4.78 ,5740 4.76 ,5717 4.74 .5694 4.72 5671 4.70 ,5649 4.69 ,5626 4.67 ,5604 4.65 .5582 4.63 ,5560 4.61 ,5538 4.59 ,5517 4.58 5495 4.56 ,5474 4.54 ,5453 4.52 ,5432 4.51 ,5411 4.49 ,5390 4.47 ,5370 4.46 ,5350 4.44 ,5330 4.42 ,5310 4.41 ,5290 4.39 ,5270 4.37 5250 4.36 ,5231
1
4.92 ,5906 4.90 .5881 4.88 ,5857 4.86 ,5833 4.84 ,5909 4.82 ,5785 4.80 .5761 4.78 .5738 4.76 ,5715 4.74 -5692 4.72 ,5669 4.70 ,5646 4.68 ,5624 4.67 ,5602 4.65 ,5580 4.63 ,5558 4.61 ,5536 4.59 ,5514 4.57 ,5493 4.56 ,5472 4.54 ,5451 4.52 ,5430 4.50 ,5409 4.49 ,5388 4.47 ,5368 4.45 -5348 4.44 5328 4.42 5308 4.40 -5288 4.39 5268 4.37 .5249 4.35 ,5229
2
3
4
5
6
7
4.92 ,5903 4.90 ,5879 4.87 ,5854 4.85 ,5830 4.83 5806 4.82 ,5783 4.80 -5759 4.78 ,5736 4.76 ,5713 4.74 .5690 4.72 .5667 4.70 ,5644 4.68 ,5622 4.66 ,5600 4.64 ,5577 4.63 ,5556 4.61 ,5534 4.59 ,5512 4.57 ,5491 4.56 ,5470 4.54 ,5449 4.52 ,5428 4.50 ,5407 4.49 ,5386 4.47 ,5366 4.45 .5346 444 -5326 4.42 .5306 4.40 ,5286 4.39 ,5266 4.37 ,5247 4.35 -5227
4.91 ,5901 4.89 ,5876 4.87 ,5852 4.85 ,5828 4.83 5804 4.81 ,5780 4.79 ,5757 4.77 ,5733 4.76 ,5710 4.74 ,5687 4.72 .5665 4.70 5642 4.68 ,5620 4.66 ,5597 4.64 ,5575 4.62 ,5553 4.61 ,5532 4.59 ,5510 4.57 .5489 4.55 ,5468 4.54 ,5446 4.52 ,5426 4.50 .5405 4.48 ,5384 4.47 ,5364 4.45 .5344 443 .5324 4.42 5304 4.40 ,5284 4.38 ,5264 4.37 ,5245 4.35 5225
4.91 ,5898 4.89 ,5874 4.87 ,5850 4.85 .5825 4.83 ,5802 4.81 ,5778 4.79 ,5754 4.77 ,5731 4.75 ,5708 4.73 ,5685 4.72 .5662 470 .5640 4.68 ,5617 4.66 ,5595 4.64 ,5573 4.62 ,5551 4.61 ,5530 4.59 -5508 4.57 ,5487 4.55 ,5465 4.53 .5444 4.52 .5424 4.50 ,5403 4.48 .5382 4.47 ,5362 4.45 ,5342 4.43 5322 4.42 5302 4.40 .5282 4.38 ,5262 4.37 -5243 4.35 5223
491 .5896 4.89 5871 4.87 -5847 4.85 ,5823 4.83 ,5799 4.81 -5776 4.79 ,5752 4.77 ,5729 4.75 .5706 4.73 ,5683 4.71 ,5660 4.69 ,5637 4.68 ,5615 4.66 ,5593 4.64 ,5571 4.62 ,5549 4.60 .5527 4.59 ,5506 4.57 ,5484 4.55 ,5463 4.53 ,5442 4.51 -5421 4.50 ,5401 4.48 .5380 4.46 ,5360 4.45 ,5340 4.43 ,5320 4.41 .5300 440 .5280 4.38 -5260 436 5241 4.35 ,5221
4.91 ,5893 4.89 ,5869 4.87 ,5845 4.85 ,5821 4.83 ,5797 4.81 ,5773 4.79 .5750 4.77 ,5726 4.75 -5703 4.73 ,5680 4.71 ,5658 4.69 ,5635 4.67 ,5613 4.66 .5591 4.64 ,5569 4.62 ,5547 4.60 .5525 4.58 ,5504 4.57 ,5482 4.55 .5461 4.53 ,5440 4.51 .5419 4.50 ,5399 4.48 ,5378 446 5358 445 ,5338 4.43 ,5318 4.41 ,5298 4.40 ,5278 4.38 ,5258 4.36 .5239 4.35 ,5219
4.91 ,5891 4.89 ,5867 4.86 ,5842 4.84 ,5818 4.82 .5794 481 5771 4.79 ,5747 4.77 .5724 4.75 .5701 4.73 .5678 4.71 .5655 4.69 ,5633 4.67 ,5611 4.65 ,5588 4.64 ,5566 4.62 .5545 4.60 .5523 4.58 ,5502 4.56 ,5480 4.55 ,5459 4.53 ,5438 4.51 ,5417 4.49 .5397 4.48 -5376 4.46 ,5356 4.44 ,5336 443 ,5316 4.41 5296 4.39 .5276 4.38 .5256 4.36 ,5237 4.35 ,5218
Values from 10.0 to 100.0API from tables publ~shedby Amerlcan Petroleum Institute. Values above 100.0API calculated by lngersoll-Rand Co.
8
9
4.90 4.90 ,5886 ,5888 4.88 4.88 ,5862 5864 4.86 4.86 ,5837 .5840 4.84 4.84 ,5813 .5816 4.82 4.82 ,5790 ,5792 4.80 :4.80 ,5768 .5766 4.78 4.78 ,5745 ,5743 4.76 4.76 ,5719 -5722 4.74 4.75 ,5696 ,5699 4.73 4.73 ,5674 .5676 4.71 4.71 ,5651 .5653 4.69 4.69 ,5631 .5628 4.67 4.67 ,5606 ,5608 4.65 4.65 ,5584 ,5586 4.63 4.63 ,5562 .5564 4.61 462 ,5540 5542 4.60 4.60 ,5519 .5521 4.58 4.58 ,5497 .5499 4.56 4.56 -5476 ,5478 4.54 4.54 -5455 ,5457 4.53 4.53 ,5434 .5436 4.51 4.51 ,5413 -5415 4.49 4.49 ,5395 ,5393 4.47 4.48 ,5372 ,5374 4.46 4.46 5354 ,5352 4.44 4.44 5334 .5332 4.42 4.43 ,5314 ,5312 4.41 4.41 .5294 5292 4.39 4.39 5272 5274 4.37 4.38 -5254 .5252 4.36 4.36 ,5235 .5233 4.34 4 34 ,5214 .5216
INGERSOLL-RAND CAMERON HYDRAULIC DATA -
Specific Gravities of Sugar Solutions
United States Standard Baume Scales
Per cent sugar (degrees Balling's or Brix) with corresponding specific gravity and degrees Baume . Temperature 60°F
Relations between Baume degrees and specific gravity Liquids heavier than water Formula-sp
gr =
145 145 . " Baume
Sp Gr 60"-60°F
Baume degrees
Sp Gr 60"-60F
Baume degrees
20 . . . . . 21 . . . . . 22 . . . . . 23 . . . . . 24 . . . .
1.16000 1.16935 1.17886 1. 18852 1.19835
40 . . . 41 . . . . . 42 . . . . . 43 . . . . . 44 . . . . .
1 38095 1.39423 1.40777 1.42157 1.43564
60 . . . 61 . . . 62 . . . . . 63 . . . . . 64 . . . . .
1.70588 1.72619 1.74699 1.76829 1.79012
1.03571 1.04317 1.05072 1 05839 1.06618
25 . . . . . 26 . . . . . 27 . . . . . 28 . . . . . 29 . . . . .
1.20833 1.21849 1.22881 1.23932 1.25000
45 . . . . . 46 . . . . . 47 . . . . . 48 . . . . 49 . . . .
1.45000 1.46465 1.47959 1.49485 1.51042
65 . . . . . 66 . . . . . 67 . . . . . 68 . . . . . 69 . . . .
1.81250 1.83544 1.85897 1 88312 1. 90789
10 . . . . . 11 . . . . 12 . . . . . 13 . . . . . 14 . . . . .
1.07407 1.08209 1.09023 1.09848 1.10687
30 . . . . . 31 . . . . . 32 . . . . . 33 . . . . 34 . . . . .
1.26087 1.27193 1.28319 1.29464 1.30631
50 . . . . . 51 . . . . 52 . . . 53 . . . . . 54 . . . . .
1.52632 1.54255 1.55914 1.57609 1.59341
70 . . . . . 71 . . . . 72 . . . . 73 . . . . . 74 . . . . .
1.93333 1.95946 1.98630 2.01389 2.04225
15 . . . . . 16 . . . . 17 . . . . 18 . . . . . 19 . . . . .
1.11538 1 12403 1.13281 1.14173 1. 15079
35 . . . . . 36 . . . . . 37 . . . . . 38 . . . . . 39 . . . . .
1.31818 1.33028 1.34259 1.35514 1.36792
55 . . . . . 56 . . . . . 57 . . . . 58 . . . . 59 . . . . .
1.61111 1.62921 1.64773 1.66667 1.68605
75 . . . . . 76 . . . . . 77 . . . 78 . . . 79 . . . .
2.07143 2.10145 2.13235 2.16418 2.19697
Sp Gr 60"-60°F
Baurne degrees
.....
1.00000 1.00694 1.01399 1.021 13 1.02837
5 .... 6 ..... 7 .... 8 .... 9 .....
Baume degrees 0 1 2 3 4
..... . . . . ..... .....
Liquids lighter than water Formula
130 + " Baume
-
Sp Gr 60'-60'F
Per cent sugar Balling's or Brix 60°F15.56"C
Specific gravity 6O"16O0F
0 1 2 3 4
Degrees Baume 60°F
Per cent sugar Balling's or Brix 60°F15.56"C
Specific gravity 60"160°F
1.0000 1.0039 1.0078 1.0118 1.0157
0.00 0.56 1.13 1.68 2.24
34 35 36 37 38
5 6 7 8 9
1.0197 1.0238 1.0278 1.0319 1.0360
2.80 3.37 3.93 4.49 5.04
15 16 17 18 19
1.0613 1.0657 1.0700 1.0744 1.0788
20 21 22 23 24
Degrees Baurne 60°F
Per cent sugar Balling's or B r ~ x 60°F15.6"C
Specific gravity 60"/60"F
Degrees Baume 60°F
1.1491 1.1541 1.1591 1.1641 1.1692
18.81 19.36 19.90 20.44 20.98
68 69 70 71 72
1.3384 1.3447 1.3509 1.3573 1.3636
36.67 37.17 37.66 38.17 38.66
39 40 41 42 43
1.1743 1.1794 1.1846 1.1898 1.1950
21.52 22.06 22.60 23.13 23.66
73 74 75 76 77
1.3700 1.3764 1.3829 1.3894 1.3959
39.16 39.65 40.15 40.64 41.12
8.38 8.94 9.49 10.04 10.59
49 50 51 52 53
1.2273 1.2328 1.2384 1.2439 1.2496
26.86 27.38 27.91 28.43 28.96
83 84 85 86 87
1.4359 1.4427 1.4495 1.4564 1.4633
44.02 44.49 44.96 45.44 45.91
1.0833 1.0878 1.0923 1.0968 1.1014
11.15 11.70 12.25 12.80 13.35
54 55 56 57 58
1.2552 1.2609 1.2667 1.2724 1.2782
29.48 30.00 30.53 31.05 31.56
88 89 90 91 92
1.4702 1.4772 1.4842 1.4913 1.4984
46.37 46.84 47.31 47.77 48.23
25 26 27 28 29
1.1060 1.1107 1.1154 1.1201 1.1248
13.90 14.45 15.00 15.54 16.19
59 60 61 62 63
1.2841 1.2900 1.2959 1.3019 1.3079
32.08 32.60 33.1 1 33.63 34.13
93 94 95 96 97
1.5055 1.5126 1.5198 1.5270 1.5343
48.69 49.14 49.59 50.04 59.49
30 31 32 33
1.1296 1.1345 1.1393 1.1442
16.63 17.19 17.73 18.28
64 65 66 67
1.3139 1.3200 1.3261 1.3323
34.64 35.15 35.66 36.16
98 99 100
1.5416 1.5489 1.5563
50.94 51.39 51.93
.
The above table is from the determ~nationsof Dr . F. Plato. and has been adopted as standard by the United States Bureau of Standards.
From Circular No. 59 Bureau of Standards .
INGERSOLLi3AND CAMERON HYDRAULIC DATA
PROPERTIES OF LIQUIDS Specific Gravity of Hydrocarbons
Specific Gravity and Temperature Relations of Petroleum (Approximate)
Specific Gravity-Referred to water at 60°F. Example: oil with sp. gr. of 0.82 at 60°F will have sp. gr. of 0.64 at 500°F. Drawn by IngersoU Rand based on data from Gas Processors & Supphera Assn.
Courtesy of Hydraulic Institute.
A.
PROPERTIES OF LIQUIDS Specific Gravity at 60°F of Aqueous Solutions
""0
I0
20
30
50 60 % by WEIGHT
40
b a w n by Ingersoll-Rand based on data from various chemical handbooks. Drawn by Ingersoll-Rand based on data from various chemical handbooks.
4-16
70
80
90
100
INGERSOLLRAND
PROPERTIES OF LIQUIDS
CAMERON HYDRAULIC DATA
Vapor Pressure of Gasolines
Specific Gravity of Refrigerant Liquids I
40
m
m
r
s
a
n
I
a f m
~m
la
IU
lm
rn
"G
Courtesy Ch~cagoBridge & Iron Company To determine the gage working presaure of a vessel to store any natural gasoline: 1. Determine the maximum liquid surface temperature reached or likely to be reached by the liquid during the period of storage. 2. The vertical temperature line interseeta the Reid vapor pressure line for the liquid being considered at a definite point. 3. from the m e determine the initial vapor pressure in pounds absolute at the IeR hand side horizontally from the intersection mentioned in "2." 4. From the initial vapor pressure in pounds absolute subtract 14.7. The result is the gage working pressure of the vessel required to store that Liquid, without evaporation loas. Drawn by Ingersoll-Rand based on data from various refrigerant handbooks.
4-18
PROPERTIES OF LIQUIDS
INGERSOLLRAND CAMERON HYDRAULIC DATA
Vapor Pressure of Various Liquids
Vapor Pressure of Hydrocarbons TEMPERATURE CELSIUS C '
0
50
100 150 TEMPERATURE OF
200
250 300
400
500
Drawn b) Ingersoll-Rand baqed on data from ranous sources
Drawn by Ingemoll-Rand based on data from various sources
4-20
A
INGERSOLLflAND
PROPERTIES OF LIQUIDS
CAMERON HYDRAULIC DATA
Vapor Pressure of Refrigerant Liquids
Viscosity-General
Information
The viscosity of a fluid (liquid or gas) is that property which offers resistance to flow due to the existence of internal friction within the fluid. This resistance to flow, expressed as a coefficient of dynamic (or absolute) viscosity is the force required to move a unit area a unit distance. There are two basic viscosity parameters; i.e. (1) dynamic (or absolute) viscosity; and (2) kinematic viscosity. These two parameters are related since the kinematic viscosity may be obtained by dividing the dynamic viscosity by the mass density. (See note on page 4-3 for definition of mass density.) (1) The unit of dynamic (or absolute) viscosity in the English system is measured in pound seconds per square foot which is numerically identical with the slug per foot second. The unit of dynamic viscosity in metric measure is the dyne-second per square centimeter called the poise, which is numerically identical with the gram per centimeter-second. I t is usually more convenient to express numerical values in centipoises such that 100 centipoises equal one poise. The dimensions of dynamic (or absolute) viscosity are: force
time length2
(2) Since the Darcy-Weisbach and Colebrook relationships (see page 3-3) are based on using a Reynolds number which varies inversely with the kinematic viscosity and which is obtained by dividing the dynamic (absolute) viscosity by the mass density, it is usual practice to use units of kinematic viscosity which have the dimensions of length2 time
-
VAPOR
PRESSURE PSlA
D r a u n b j Ingenoll-Rand b a r d urr data from b a n u u a refngrrant handbooks
4-22
The unit of kinematic viscosity in English measure is the square foot per second. The unit of kinematic viscosity in metric measure is the square centimeter per second called the stoke. I t is usually more convenient to express numerical values in centistokes such that 100 centistokes equal one stoke.
INGERSOLLflAND
CAMERON HYDRAULIC DATA
PROPERTIES OF LIQUIDS
When English system units are used in converting from dynamic W
to kinematic viscosity the density C7 (or mass density), rather than 6
the specific gravity must be used where w is the weight in lb/ft3 and g is the acceleration of gravity (32.174 ft/sec2). When the metric system terms centipoises and centistokes are used the density is numerically equal to the specific gravity. The relationship between the dynamic and kinematic viscosity units with their proper dimensions must be carefully considered so that the correct parameters will be used as required in friction loss and other calculations. Various types of instruments are available to determine viscosity, the one most widely used being the Saybolt viscometer which measures the time in seconds required for a liquid to flow from a filled container of specified dimensions through one of two orifices in the bottom of the container. The term SSU (Seconds Saybolt Universal) refers to the time required for the smaller of the two orifices, and the term SSF (Seconds Saybolt Furol) the time required for the larger orifice. The smaller orifice (SSU) being used for the lighter oils and the larger orifice (SSF) for the heavy oils. The efflux time in seconds is converted empirically to kinematic viscosity in other units. The various viscosity relationships and conversions are given on the following pages.
Approximate Viscosity Conversions
INGERSOLLRAND
CAMERON HYDRAULIC DATA
PROPERTIES OF LIQUIDS Viscosity-Unit
Approximate Viscosity Conversions (Continued) Seconds Saybolt Un~versal SSU
K ~ n e r n a t ~v~scoslty c centlstokes
ft2sec
Seconds Redwood 1 Stand ard
Seconds Saybolt Furol SSF
Seconds Red wood 2 Ad rnlralty
Kinematic Viscosity Degrees Engler
Degrees Barbey
K~ne rnattc cent, stokes
115 96 8 21 718 6 39
5394 647 3 755 2 8631 970 9
See previous page for conversions in SSU, Redwood, etc.
146 175 204 234 263
5 75 4 78 4 11 3 59 319
1078 8 1294 6 1510 3 1726 1 19419
Absolute or Dynamic Viscosity
292 438 584
2 87 1 92 144
2157 6 3236 5 43153
0 002788 0003254 0003717 0004182 0 004647
122 143 163 183 204
1016 1185 1354 1524 1693
111 129 148 166 185
35 1 409 467 526 584
2500 3000 3500 4000 4500
539 4 647 3 755 2 863 1 970 9
0 005806 0 006967 0008129 0 009290 0 01045
254 305 356 408 458
2115 2538 2961 3385 3607
23 1 277 323 369 41 5
730 87 6 102 117 131
5000 6000 7000 8000 9000
10788 1294 6 15103 1726 1 1941 9
001161 001626 001858 002092
509 610 71 2 814 916
4230 5077 5922 6769 761 5
461 553 646 738 830
10000 15000 20000
21576 3236 5 4315 3
002322 0 03483 004645
1018 1526 2035
8461 12692 16923
922
Viscosity relationships =
to o b t a ~ n
by I
ftY!sec ft2!sec sq metersisec sq metersisec centistokes centistokes
259 0 302 3 3453 3885 431 7
259 0 302 3 345 3 388 5 431 7
Kinematic viscosity (centistokes)
Multiply
I
23 9 20 5 180 156 14 4
1200 1400 1600 1800 2000
0 01393
Conversions
I
I
Ibf-sec/ft2 Ibf-sec!ftZ centipoises centipoises centipoises Pascal-sec Pascal-sec I
I
absolute viscosity (centipoises) density (g/crn3)'
centistokes sq rnetersisec ftZ/sec centistokes sq metersisec ft?/sec . ---
centipoises Pascal-sec kg-secisq meter Ibf-seclsq ft' Pascal-sec Ibf-secisq ft centi~oises
' Sometimes absolute viscosity is given in terms of pounds mass. In this casecentipoises x 0.000672 = Ibrnlft sec.
ft2/sec = centistokes x 1.07639 x 10-j Absolute to Kinematic Viscosity
centistokes = ft2!sec x 92903.4 Approximate viscosity conversions ft2!sec (50-100 SSU) ft2/sec (100-350 SSU) ft2!sec (over 350 SSU) centistokes (50-100 SSU) centistokes (100-350 SSU) centistokes (over 350 SSU) centistokes (over 350 SSU) centistokes (over 500 SSF) centistokes (over 300 Redwood #1) centistokes (over 50 Redwood #2) centistokes (over 18 Engler) centistokes (over 20 Storrner) centistokes (over 1.0 Demler # l o ) centistokes (over 1.3 Demler #1) centistokes (over 14 Parlin #20) centistokes (over 230 Ford #4) centistokes ' Usually same as specific gravity
- .00210!SSU SSU x 2.433 x SSU x 2.368 x lo-" .00145/SSU = SSU (taken at 100°F) x 2.3210 x = SSU x 0.226 - 205.3lSSU = SSU x 0.220 147.7iSSU = SSU (taken at 100°F or 37.8%) x 0.21576 = SSU (taken at 210°F or 98.9%) x 0.21426 = SSF (taken at 122°F or 50°C) x 2.120 = Redwood #1 (Standard) x 0.255 = Redwood #2 (Admiralty) x 2.3392 = Engler x 7.389 = Stormer x 2.802 = Demler # I 0 x 31.506 = Demler #1 x 3.151 = Parlin Cup #20 x 61.652 = Ford Cup #4 x 3.753 = 6200 Barbey
= =
centipoises centipoises Ibf-sec/ft2 kg-sec!rn2 Pascal-sec
lldensity (gicm3) 0.00067197/density (Ib/ftJ) 32.174ldensity (IbIftR) 9.80665idensity (kg/rn3) 1000/density (g!crn3)
centistokes ftZ/sec ft2/sec sq rnetersisec centistokes
-
Kinematic to Absolute Viscosity sq meterslsec ft2!sec ftZ/sec centistokes sq meters!sec
0.10197 x density (kg/m3) 0.03108 x density (Ib!ft3) 1488.16 x density (Iblft") 0.001 x density (g/cm3)
centipoises kg-secisq meter Ibf-sec/ft2 centipoises Pascal-sec Pascal-sec
PROPERTIES OF LIQUIDS
INGERSOLLRAND CAMERON HYDRAULIC DATA Viscosity-Temperature
Viscosity of Fuel Oils
Relations of Petroleum Oils
VISCOSITY SSU 0
Y) C)
N "7
0 a V) L w
" n
3;
""a" 0 0 0 0 0 3
N
-
0 0
w -
ooni
KINEMATIC VISCOSITY.
Drawn by Ingersoll-Rand based on data from Texaco, Inc
4-30
CENTISTOKES
a
3
T
" VISCOSITY
This chart may be used to determine the viscosity of an oil a t any temperature prov~dedits viscosity a t two is known. The lines on this chart show \.~srositlesof representatit? oils. Note: This chart is slrmiar to ASTM tentative standard D341-32T vhlch has a somewhat u i d e r viscosity and range. Courtesy of Texaco. Inc.
INGERSOLLRAND
PROPERTIES OF LIQUIDS
CAMERON HYDRAULIC DATA
Viscosity of Refrigerant Liquids
Viscosity of Miscellaneous Liquids
TEMPERATURE CELSIUS -30
-20
-10
0
I0
20
"C 30
40
TEMPERATURE, DEGREES FAHRENHEIT
Drawn by lngrrsollbRand based
oara from ianoue refrigerant nandboilhs.
50
60
70
INGERSOLLRAND
CAMERON HYDRAULIC DATA
PROPERTIES OF LIQUIDS
Viscosity of Sucrose Solutions
Viscosity Blending Chart Many liquids designated by such names as asphalt, molasses, oil, varnish, etc., are actually blends or cut-backs and have lower viscosities than the unblended liquids of the same name. On Fig below, let oil, A, have the higher viscosity and oil, B, the lower viscosity. Mark the viscosity of A and B on the right and left hand scales, respectively, and draw a straight line connecting the two as shown. The viscosity of any blend of A and B will be shown by the intersection of the vertical line representing the percentage composition and the line thus drawn. Viscosities of oils A & B must be plotted a t the same temperature.
OIL B 100
90
80
70
60
40
30
PERCENTAGE OF COMPONENT OILS
Draun by Ingeraoll-Hand b a e d an data frum various sugar handbooks.
comes^ of Hydraulic lnstltute
20
10
0
PROPERTIES OF LIQUIDS
INGERSOLL-RAND CAMERON HYDRAULIC DATA
Specific Gravity and Viscosity of Liquids
Petroleum Temperature-volume Relations
Liqu~d Acetaldehyde CH,CHO
Boiling point at atm press
"F
'C
69F 208C
61 68
16 1 20
0788 0 762
59
15
1.W6
Acetlc acld-5% = vlnegar CH,COOH
Speclfic gravlty Temp
based on water = 1 at 60'F
Vlscoslly Temp
. 'F
'C
61 68
16 1 20
centlstokes
SSU
0305 0 295
36
2.85
35
1.34
31 7
10% 50%
. . . . .
80%. .
59
Conc.-glacial 118C Acetlc a c ~ danhydr~de
0 88 Acetone CH,COCH, Alcohol ally1 .
. . . ..
butyl-n
. . . . . .
methyl (wood) CH,OH . .
.
133F 50 5C
68
20
0 792
68 77
20 25
0 41
207F 97.2C
68
20
0.855
68 104
20 40
1.60 0.90 cp
31 8
68 158
20 70
0.81 0.78
68 158
20 70
3.64 1.17
38 31 5
68
20
0 79
59 32
15 0
0 74 1.04
60
156
10-
77 100
25 378
215-1510 75-367
1M-7M 350-1700
60
156
10-
77 100
25 378
33-216 19-75
155-1000 90-350
243F 117C
151F 64.7C
PERCENT INCREASE IN VOLUME ABOVE 60 F. Asphalt emuls~ons Fed # 1
Fed #2
Courtesy of Hydraulic Institute.
4-36
v
VI
Based o n materai from the Hydraulic lnstlture with a d d ~ t ~ o nby s ~ngerso~l- and
PROPERTIES OF LIQUIDS
INGERSOLLRAND CAMERON HYDRAULIC DATA
Specific Gravity and Viscosity of Liquids (Continued)
Specific Gravity and Viscosity of Liquids (Continued) -
L~qu~d
Carbon tetrachlor~de CCI,
SAE lOW
Carbon dlsulphide CS
SAE 20W
Castor oil
Bo~lng point at atm press
S p e c t t c gravlty Temp F
VISCOSlly Temp
based o n watet - 1 at 60'F
C
F
C 20 376
0 612 0 53
0 20
0 33 0 298
170F 76 7C
68
20
1 594
68 100
115F 46 2C
32 68
0 20
1293 1 263
32 68
68 104
20 40
0 96 0 95
100 130
378 54 4
centistokes
259-325 98-130
SAE 20
SSU
1200-1500 450-600
SAE 30 SAE 40
Automot~vegear 011s SAE 75W
Il
SAE 80W SAE 85W SAE 90 24 Baume
SAE I 4 0
40" API
35 6 API 32 6 API Salt Creek Decane-n
60 130 343F 173C
D~ethyleneglycol
156 544
0843 082
60 130
156 54 4
68
20
0 73
0 100
1 7 8 378
60
156
112
70
211
60
15 6
82- 95
122 160
50 711
77 61 2 36 1 001 32
45 6 34 31 1497
25-0 Carbol~ca c ~ d(phenol)
360F 182 2C
65
18 3
1 08
65 194
183 90
1183 126cp
65
5D Ethyl acetate CH,COOC,H, Dowtherm
494 3'
25'12
1
8%" 1 056
1
;
8 6 6 rnax 352max
1 8" 1
400 max 165max
INGERSOLLRAND
PROPERTIES OF LIQUIDS
CAMERON HYDRAULIC DATA
-
Specific Gravity and Viscosity of Liquids (Continued)
Liquid Ethyl bromide C H Br
S p e c ~ f i cgravty Bo~l~ng pont based Temp at o n water atm F - 1 at 60 F C press
Specific Gravity and Viscosity of Liquids (Continued)
V~scos~ty Temp F
C
cent~stokes
lOlF 77 2C
59
15
1 45
68
20
0 27
Ethylene bromlde
269F 131 7C
68
20
2 18
68
20
0 787
Ethylene c h l o r ~ d e
183F 837C
68
20
1 246
68
20
0 668
60
156
1125
70
211
80"o
68
20
1 186
68
Conc
60
156
1221
68 77
Freon -11
70
21 1
149
-12
70
21 1
133
- 21
70
21 1
68
SSU
SSU at 100°F 178
88 4
20
14
31 7
20 25
1 48 157cp
31 7
70
21 1
0 21
70
21 1
0 27
137
70
21 1
145
31 7
20
1159
68 77
20 25
145 149cp
31 7
60
156
82- 95
70 100
21 1 378
2 3 9 - 4 28 -2 69
34-40 32-35
2
60
156
82- 95
70 100
21 1 37 8
3 0-74 2 11-4 28
36-50 33-40
6
60
156
82- 95
122 160
50 71 1
97 4-660 37 5-172
450-3M 175-780
60
156
089
211 37 8
139 74
Ethylene glycol
Furfurol Fuel 011s 1
Gas 011s
161 7C
70 100
Glycer~ne 1oooo 50'0 water Glucose
--
113
5 29
73 50
Lard
60
156
096
100 130
378 544
621 343
Lard 011
60
156
91-93
109 130
378 544
41-475 234-271
190-220 112 128
60
156
92-94
100 130
378 544
305 1894
143 93
60
156
1357
70 100
211 378
Linseed
011
Heptane-n Mercury
6751F 356 9C
0 118 0 11
287 160
CAMERON HYDRAULIC DATA
INGERSOLLRAND
Specific Gravity and Viscosity of Liquids (Continued)
Specific Gravity and Viscosity of Liquids (Continued)
A flrst
B second
NltroDenzene
68
20
0 99
32 68
0 20
Propylene glycol
68
20
1 038
70
21 1
Quenching 311 (~YPIC~I
60
156
86- 89
P r o p ~ o n cac d
286F
1 52cp 113
52
100-120
PROPERTIES OF LIQUIDS
31 5
24 1
20 5 - 2 5
PROPERTIES OF LIQUIDS
INGERSOLLRAND CAMERON HYDRAULIC DATA
Specific Gravity and Viscosity of Liquids (Continued)
Specific Gravity and Viscosity of Liquids (Continued)
fresh
74 B r x
76 B r x
Centrifugal pump performance with viscous liquids Since pump performance characteristic curves are basis water, corrections (per charts in *Fig 4-2 and 4-3) must be applied when handling viscous liquids. The following two examples will illustrate the use of these charts. Example A-performance RT-2
Given: Characteristic curve (Fig 4-1) page 4-46 for pump handling water a t normal temperature (see page 4-46,4-47 and 4-48).
RT-4
Problem : Determine the approximate performance curve for oil having a specific gravity of 0.90 and viscosity of 1000 SSU (216 centistokes).
RT-6
1
RT-8
RT-10
Toluene
1231F 1106C
Trlelhylene glycol Turpent~ne
Varn~sh spar
correction:
320F
E?
0866
1 125
60
156
86- 87
60
156
09
4168 0 38cp
21 1
185 7
100 130
37 8 54 4
866-95 2 39 9 - 4 4 3
100
20 378
313 143
400-440 185-205 1425 650
From water curve in Fig 4-1 note that capacity at best efficiency point (1.0 x Q,) is 750 gpm. Tabulate gpm for 0.6 x Q,, 0.8 x Q,, 1.0 x Q, and 1.20 x Q, for water as in table following Fig 4-1; read heads and efficiencies from the water curve a t these values of gpm and tabulate as shown. Entering the chart (Fig 4-3) at 750 gpm go vertically to the head in feet (100') and horizontally to 1000 SSU and vertically to the correction factors, reading one value for C g and C, and four values for C, and tabulate as shown. Multiplying the tabulated water values by these factors will give the corrected values for operation with the viscous liquid. Corrected head and efficiency curves may be plotted using these points; approximate brake horsepower and curve *NOTE: Figures 4-1 to 4-3 appear on pages 4-46 to 4-48.
INGERSOLLRAND CAMERON HYDRAULIC DATA can be determined by use of the formula:
PROPERTIES OF LIQUIDS Viscosity Corrections for Small Pumps (Continued) Between 10 to 100 GPM
capacity (viscous) x head (viscous) sp gr Estimated bhp (viscous) = 3960 x Efficiency (viscous)
CAPACITY-GPM
Fig. 4-1 Sample performance chart
Courtesy of Hydraulic I n s t ~ t u t r .
Sample Calculations
Fig. 4-2 Performance correction chart. (Correction factors apply to Best Efficiency Point only) of Hydraulic Institute.
INGERSOLLRAND
PROPERTIES OF LIQUIDS
CAMERON HYDRAULIC DATA Example B -selecting
Viscosity Corrections for Large Pumps (Continued) Above 100 GPM
a pump:
Selecting a pump for viscous liquids is the reverse of correcting for water performance; i.e. take the desired design conditions and divide by the applicable correction factors to obtain the equivalent design conditions on water. For example: select a pump to deliver 750 gprn at 100 ft when handling a liquid having a viscosity of 1000 SSU and specific gravity of 0.90 a t pumping temperature. Enter chart a t 750 gpm and follow the same procedure as in Example A except for this calculation use C, from curve marked 1.0 x Q, (capacity a t best efficiency point-bep) Equivalent water conditions obtained by dividing the viscous conditions by the above correction factors will be 790 gpm and 108.7 ft. If the pump selected for these equivalent water conditions has a water efficiency of 81% the viscous efficiency will be 0.64 x 0.81 or about 52%. Estimated bhp
=
750 x 100 x 0.90 3960 x 0.52
=
32.8
Note: Correction charts are approximate and apply only to Centrifugal pumps of conventional design with open or closed impellers and adequate suction head to force liquid into impeIler; not good for axial or mixed flow pumps or non-uniform liquids. Correction factors for flows 100 gprn and below (Fig. 4-2) are basis (bep). For a more detailed discussion of these correction factors reference should be made to the Hydraulic Institute Standards.
Pump performance on stock (for friction loss see page 3-88)
r
Fig. 4-3 Performance correction chart Courtesy of Hydraulic Institute.
Since pump performance curves are based on tests with water a t normal temperatures (60°F to 70"F), there will be a reduction in head, capacity and efficiency when handling stock, and corrections (depending on consistency) must be applied to the water performance. These corrections (applied to the head and capacity at the best efficiency point (bep) will be approximately 0.725 for 6% stock; 0.825 for 5.5%; 0.90 for 5.0%; 0.94 for 4.5%; 0.98 for 4.0%; and 1.0 for 3.5% and less. The brake horsepower (bhp) of a pump delivering stock a t the corrected head and capacity will be approximately the same as if it were delivering water at the bep. Therefore, the approximate efficiency of the pump on stock can be det,ermined by calculating its hydraulic horsepower at the corrected head and capacity and dividing by the bhp. Pumps handling stock with entrained air must be given special consideration (consult with manufacturer).
PROPERTIES OF LIQUIDS
CAMERON HYDRAULIC DATA
Sediment Terminology -.
Slurry Information The abrasive nature of some slurries is clearly a consideration in selecting and designing slurry pumps. Excessive wear of wetted pump parts due to abrasion has limited operational life in some instances to two weeks. Abrasive wear is inconclusive and difficult to predict even though many studies on wear testers have been performed. Abrasive considerations are the abrading mineral itself, abrasive hardness, particle velocity, density, directions, sharpness, shape, size and corrosiveness.
Scale of Particle Sizes
Tyler screen mesh per inch
U.S. standard mesh per inch
Inches
Microns
Very Coarse Gravel Coarse Gravel Medium Gravel Fine Gravel Very Fine Gravel Very Coarse Sand Coarse Sand Medium Sand Fine Sand Very Fine Sand Coarse Silt Medium Silt ~ i n silt e Very Fine Silt Coarse Clay Medium Clay Fine Clay
Pump components exposed to abrasion, i.e. impellers, casings and suction covers, are made from abrasion resistant materials such as Ni-hard and rubber. Experience has shown that for abrasive handling pumps, the pump RPM should be kept as low as possible. A guideline in showing the effect of RPM on wear is the relation that wear will vary approximately as the cube of the RPM-wear CY RPM3. Hence since RPM is related to pump developed pressure, high head applications will wear much more rapidly than lower heads. Also, it can generally be seen that pump part hardness is inversely proportional to abrasive wear-wear a l/BHN;* and wear also varies directly with particle concentration- wear a C , . Both synthetic and natural rubbers are used in slurry pumps for their superior abrasion and corrosion resistance. Their abrasion resistance exceeds Ni-hard or other metals when the particles are small and round. Sharp and hard solids with high energy are unsuitable for rubber application because they can cut the rubber material. The dampening effect of rubber is low for impact angles greater than 20". Also, rubber is generally unsuitable for applications with heads over 150' and where particle size exceeds ?4 inch. Wear resistant metals such as Ni-hard are used on more coarse and harder slurries. MetalIRubber Slurry Pump Selection Criteria
Use Metal-lined Plc~np: Solids greater than '/4 in. PH greater than 4.5 Abrasive service above 100 f t head Temperatures to 250°F Hydrocarbon based slurries * Bnnell hardness number 4-50
Use Rxbber-lined P ~ o ~ t p : Solids less than ?4 in. PH less than 6.0 Abrasive service below 100 ft head Non-abrasive service below 100 ftlsec-impeller peripheral speed Temperatures below 150°F
Class
Mohs Scale of Hardness, Modified (Trans. Am. Electrochem Society, 1933) Mineral or Mater~al Talc Gypsum, Kaolin Clay, Anthracite Calc Spar, Gray Cast Iron Fluor Spar Apatite Orthoclase or Periclase Vitreous Pure Silica Quartz, Stellite Topaz Garnet Fused Zirconia, Tantalum Carbide Fused Alumina, Tungsten Carbide Silicon Carbide Boron Carbide Diamond
Mohs Hardness 1 2 3 4 5
Soft to Medium
6 7 8 9 10 11 12 13 14 15
Medium to Hard
Hard to Very Hard
Hardness of Common Minerals Soft
Medium
Hard
Very Hard
Asbestos Rock Gypsum Rock Slate Talc Soft Limestone
Limestone Dolomite Sandstone Coal
Granite Quartzite Iron Ore Trap Rock Gravel
Iron Ore (taconite) Granite Granite Gravel
PROPERTIES OF LIQUIDS SIurry rheology, viscosity Terms: Rheology-study of deformation and flow of substances. Fluid-a substance which undergoes continuous deformation when subjected to shear stress. Consistency (apparent viscosity)-a slurry's resistance to deformation when subjected to shear stress. This term is applied to differentiate from absolute viscosity which is used in conjunction with Newtonian fluids. Kinematic viscosity-absolute viscosity (consistency) divided by the mass density* of the fluid. Fluidity -inverse of viscosity. Plasticity-property of a fluid which requires a definite yield stress to produce a continuous flow. Rigidity-consistency of a plastic fluid in terms of stress beyond the yield. Newtonian fluid-a fluid whose viscosity is constant and is independent of shear rate, and where shear rate is linearly proportional to shear stress. (water, oil, etc). Non-Newtonian (complex) fluid-a fluid whose consistency is a function of shear stress, and the shear rate-shear stress relationship is non-linear. For either Newtonian or Non-Newtonian fluids, viscosity (or consistency is the rate of shear (flow) per unit shearing stress (force causing flow). T = p dvldy Tangential Shearing Stress (force) Viscosity (consistency) dvldy = Shear rate (velocity gradient) T =
=
Types of Non-Newtonian fluids: Bingham-plastic fluids-a fluid where no flow occurs until a definite yield point is reached. This yield stress is necessary to overcome static friction of the fluid particles. Most slurry mixtures used in pipeline transportation exhibit Bingham plastic characteristics. Pseudo-plastic fluids-substances with no definite yield stress which exhibit a decrease in consistency with increasing shear rate. Dilatant (inverted plastic) fluids-a fluid which exhibits an increase *
mass density
=
weight
-
acceleration of gravity
a
in consistency with increasing shear rate. These fluids h ve the property of increasing their volume when stirred. Examples are starch in water, quicksands and beach sands. Thixotropic fluids-a fluid which exhibits a decrease in consistency with time to a minimum value a t any shear rate. I t will break down when stirred but rebuild itself after a given time. Examples are drilling muds, gypsum in water, paint. Typical flow diagrams (rheogram) for various fluids:
NOTE: Shear stress is proportional to pressure or total head; shear rate is proportional to velocity or flow. Useful formulas for solids and slurries: S, = Specific gravity of liquid S, = Specific gravity of solids S, = Specific gravity of slurry mixture C, = Percent solid concentration by volume C, = Percent solid concentration by weight
INGERSOLL-RAND
PROPERTIES OF LIQUIDS
CAMERON HYDRAULIC DATA
As a very approximate guide for slurries with particle sizes under 50 microns, a minimum velocity in the range of 4 to 7 ft. per second second is required, provided this velocity gives turbulent conditions. For larger particle size slurries (over 150 microns) and volume concentrations up to 15 percent, a rough guide for minimum velocity is 14 times the square root of pipe diameter (ft.), (Durand's equation). There is no general method or formula to determine the critical velocity of all slurry combinations, therefore, if a precise critical velocity is required, results should be obtained by experimentation.
Slurry Head Correction-Pipe Friction Loss For a given solid throughput and pipe diameter, the lowest pressure loss is obtained at the transition between laminar and turbulent flow. Although this minimum pressure loss is also the most economical running point (power per pound of solids), the operating velocity must be kept above this critical carrying velocity.
Percentage by Volume or by Weight C, or C,
From Centrifugal Pumps by A. J . Stepanoff uith permission of John Wiley & Sons.
Critical Carrying Velocity of Slurries in Pipes
As with critical carrying velocities, many extensive studies have been done with pressure gradients of solid mixtures. Again, a general purpose formula for all slurries is impractical to predict. However, certain guidelines can be followed.
As a slurry is conveyed by turbulent flow in a pipe, particles have a tendency to settle. The critical velocity of a slurry flow in a pipe is that velocity below which particles start forming a sliding bed on the bottom of the pipe which will cause the flow to become unstable and the pipe will eventually clog. General slurry pipeline practice is to design the pipe velocity to exceed the critical velocity by a t least 30 percent.
When the slurry contains particles under 150 microns and the concentration of these particles is low, and the fluid velocity is high enough to ensure uniform particle distribution in the pipe-under these circumstances, the slurry behaves as a "Newtonian liquid and
This velocity will depend upon pipe diameter, solids concentration and the properties of the fluid and solid particles. Extended studies have been done on critical speeds of slurry mixtures. One typical study done by Durand with sand-water suspensions gives the relationship: V, = F,[SgD(S, -
Critical Carrying
Where D = inside pipe diameter-ft S, = specific gravity of solids V, = critical carrying velocity-ftlsec g = acceleration of gravity-ftlsec2 F,= an experimental coefficient dependent upon grain size and concentration and approximate equals 1.34 above .05 in. particle size. NOTE: That this coefficient is for sand-water mixtures to 15 percent concentration by weight. In general slurry pipeline practice, to prevent settlement in the pipeline, hydraulic conditions should ensure turbulent flow.
Pressure Loss
Velocity
I
* For Newton~anLiquid definition eee page 1-5
t h e pressure loss is t h e same a s the water friction loss which can be calculated from the friction loss charts in a previous section. (Pages 3-3 to 3-48) Friction loss is also dependent on pipe roughness. In slurry pipeline design, a rough pipe design will yield a higher pressure loss capability. Using a "C"* factor pipe of 100 will result in a pressure loss capability about 100% greater than design with a clean-steel pipe, however "C"* values of 140 are not uncommon with certain types of slurries. Although slurry-pipe friction can be higher than water or Newtonian fluids, many slurries have negligible head correction and can be treated with a correction very nearly the same as clear water. Avoid large corrections, unless tested, since overcapacity can cause pump problems. In calculating and/or estimating pipe friction losses for slurries, it has been common practice, for many years, to use the Hazen and Williams empirical formula discussed on pages 3-7 and 3-8. This formula is convenient to use and experience has shown, that with t h e selection of the proper friction factor "C" will produce reliable results. Both t h e Darcy a n d Hazen-Williams formulas can be used for slurry pumping with appropriate experience correction factors. The Hazen-Williams formula is more convenient in that "C" values can be associated with given slurries and extrapolated from the friction factor tables, using corrections for various "C" factors shown on page 3-8. With reference to pump performance, most slurries have little affect on performance except for density; allowance, however, should be made for pump wear to maintain plant production.
* Friction
4-56
factor in Hazen and Williams formula. "C" of 140 is for new steel pipe.
SECTION V
STEAM DATA
5- 1
INGERSOLLRAND
CAMERON HYDRAULIC DATA
q$
STEAM DATA
2.2
Steam Data Notes
CONTENTS OF SECTION 5
Steam Data Page Notes on Steam . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5-3 Enthalpy and Entropy-Definition . . . . . . . . . . . . . . . . . . . . . 5-4 Mollier Diagram . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5-5 Pressure-enthalpy chart . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5-6 Steam Tables: Temperature Data (to 705.47"F) . . . . . . . . . . . . . . . . . . . . . . . . . . . 5-7 Pressure Data (in Hg Abs) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .5-14 Pressure Data (mm Hg Abs) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5-17 Pressure Data (to 3208.2 psia) . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5-19 Superheated Steam Data . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .5-21 Theoretical Steam Rates for Steam Turbines . . . . . . . . . . . . . . . . . 5-25 Approximate Turbine Efficiencies . . . . . . . . . . . . . . . . . . . . . . . . . . . 5-30 Vapor Flow Formulas . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .5-32 Pressure Drop in Steam Piping . . . . . . . . . . . . . . . . . . . . . . . . . . . . .5-34 Low Pressure Steam Flow . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .5-38 Pressure Drop in Steam Fittings . . . . . . . . . . . . . . . . . . . . . . . . . . . .5-39 Psychometric Chart. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .5-40 Boiler Feed Flow Data . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .3-42 .
1
I
Steam is the term usually applied to the vapor-phase of water when this phase is reached by boiling water. The term vapor describes the gaseous state of any substance, below its critical condition, from which it can be reduced to a liquid by compression. But water vapor is usually thought of only in a mixture with air, while the word steam has a much broader meaning. In a certain range of (low) pressures, the terms steam and water vapor are used interchangeably. "Boiling point" is the temperature at which a liquid boils-that is, changes rapidly and violently into vapor, (or steam, if the liquid is water), through the application of heat. When the pressure exerted upon the liquid is 760 mm Hg or 14.696 lb per sq in abs., the boiling point of water is 212°F or 100°C. The temperature a t which water boils varies, however, with the pressure; water may actually boil at freezing temperature (32°F) provided the pressure is held down to .0885 lb per sq in; on the other hand its maximum boiling temperature (the critical temperature), is approximately 705"F, under a pressure of some 3200 lb per sq in. Steam, or water vapor, is invisible. Only through partial condensation does it appear as a mist. Steam may exist either in saturated form, while in contact with water, or as superheated steam, after separation from the water from which it was generated and further heating. Saturated steam may be dry or wet; in the latter case it carries free moisture and the amount of moisture determines the "quality" of the steam. The exhaust from a steam turbine or engine is usually wet steam. The temperature of dry-or wet saturated steam a t a given pressure is the same and is determined entirely by the absolute pressure. If the pressure is maintained, the temperature will remain constant as condensation proceeds. Removal of heat produces condensation. Superheated steam behaves like a gas; when compressed, its temperature rises; when heated at constant pressure its volume increases, when heated at constant volume its pressure rises, etc. Its condition is usually indicated by the "degrees of superheat" above the saturation temperature, and by its pressure. 1cu ft of water, evaporated at 212°F and 14.696 lb per sq in absolute Pressure, becomes 1606 cu ft of dry-saturated steam.
1 cu ft of steam weighs 0.03731 lb, and 1 lb of steam occupies 26.80 cu ft, at a pressure of 14.696 lb per sq in absolute and a temperature of 212°F. 5- 3
INGERSOLLRAND
CAMERON HYDRAULIC DATA
1 cu ft of dry air weighs 0.08073 lb, and 1 lb of dry air occupies 12.387 cu ft a t pressure of 14.696 lb per sq in absolute and a temperature of 32°F
The amount of heat required to transform a liquid into its vapor, the temperature remaining constant, is called the latent heat of vaporization. The value of the latent heat varies with the pressure under which the liquid is caused to vaporize. The latent heat of vaporization of water to steam is 970.3 Btu per lb at atmospheric pressure. The Btu (British thermal unit) is equivalent to 778.0 ft-lb, which is the heat energy required to raise the temperature of 1 lb of water 1°F in the range from 32 to 212°F. In the metric system use is made of the term calorie (cal) or gram-calorie which is the heat required to raise the temperature of 1 gram of water 1°C within the range 0 to 100°C. The lulogram-calorie or large calorie is 1000 gramcalories. In modern practice the Joule is used as a measure of energy. I t is equivalent to 0.7376 ft-lb. The output of a steam generating plant is often expressed in pounds of steam delivered per hour. Since the steam output may vary in temperature and pressure, the boiler capacity is more completely expressed as the heat transferred in Btu per hour. Boiler capacity is usually expressed as kilo Btu (kB)/hour which is 1000 Btu/hour, or mega Btu (mB)ihour which is 1,000,000 Btulhour. An older expression of boiler capacity is boiler horsepower. It is equivalent to 34.5 lb of water evaporated per hr a t standard atmospheric pressure and 212°F. It is equivalent to 33,475 Btulhr. *ENTHALPY-(Heat Content) is the sum of the internal and external energies of a substance. *ENTROPY-is a measure of the unavailability of energy in a substance. *For more details reference to MARKS Handbook is suggested.
8;
STEAM DATA Mollier Diagram for Steam
INGERSOLLUAND
STEAM DATA
CAMERON HYDRAULIC DATA
Pressure-enthalpy Chart for Steam
Properties of Saturated Steam-Temperature
Table
I Vacuum
Btullb
Absolute Pressure
75 76 77 78 79
0875 0 904 0935 0 966 0 999
22 22 23 24 25
22 97 75 54 37
0 42964 0 44420 045919 047461 0 49049
29 29 28 28 28
047 017 986 955 923
740 3 7174 695 2 673 9 653 2
43 44 45 46 47
045 043 042 040 038
1051 2 1050 7 1050 1 1049 5 1049 0
1094 3 10947 1095 1 1095 6 1096 0
Tables on pages 5-7 to 5-10 reproduced by permlsslon from ASME Steam Tables' 1967 by Amer~can Soclety of Mechanical EnL~neersAll rlghls reserved Hg and vacuum In ~nchesHg calculated by Ingersoll-Rand Absolute pressures In ~nchesHg rn~ll~meters
Courtesy of B a k k Wilmx.
5-6
INGERSOLLRAND CAMERON HYDRAULIC DATA Properties of Saturated Steam-Temperature
A b s o l u t e Pressure Temp
F
~nHg
m m Hg
Ib/ln2
Vacuum i n Hg ref t o 29.921 ~n b a r , at
32F
Table (cont.)
STEAM DATA Properties of Saturated Steam -Temperature
Table (cont.)
Total heat o r e n t h a l p y Spec~f~c Btuilb volume sat v a p steam water evap ft3/lbm
v,
h,
ha
h,
Tables on pages 5-7 to 5-10 reproduced by permlsslon from ASME Steam TablesG 1967 by Amer~can Soc~etyof Mechan~calEng~neersAll r ~ g h t sresewed Absolute pressures In lnches Hg, m~ll~meters Hg, and vacuum In lnches Hg calculated by Ingersoll-Rand
Tables on pages 5-7 to 5-10 reproduced by permlsslon from ASME Steam Tables' 1967 by Amer~can
Society of Mechan~calEng~neersAll r~ghtsreserved Absolute pressures In lnches Hg mllllmeters Hg and vacuum In lnches Hg calculated by Ingersoll-Rand
INGERSOLLRAND
CAMERON HYDRAULIC DATA
Properties of Saturated Steam-Temperature
STEAM DATA
Table (cont.) Properties of Saturated Steam-Temperature
Vacuum I n Hg ref to Absolute Pressure Temp F
~n Hg
mrn Hg
Ib/ln2
29.921
bar. at 32F
tn
Speclflc volume sat vap ft3/lbm
v,
Table (cont.)
Total heat or enthalpy Btullb water hf
evap hk
steam h,
Tables on pages 5-7 to 5 10 reproduced by permlsslon from ASME Steam Tables' 1967 by Amer~can SOClely 01 Mechanical Engineers All rlghts reserved Absolute pressures In Inches Hg m~lllmetersh g and vacuum in inches Hg calculated by Ingersoll-Rand
Tables o n pages 5-11 to 5-13 reproduced by perrnlsslon from ASME Steam Tables' 1967 by The Amer~can Society of Mechan~calEng~neersAll rlghts reserved
STEAM DATA
INGERSOLLRAND CAMERON HYDRAULIC DATA -
Properties of Saturated Steam-Temperature
-
Table (cont.)
Properties of Saturated Steam-Temperature
Table (cont.)
Tables on pages 5-1 1 to 5-13 reproduced by permlsslon from ASME Steam Tables' 1967 hy The Amer~can Socely of Mechanlca Englneers all rlghts reserved Any pressure may be expresqed In a number of d~fferent units by uslng the following formulas 1 standard atmosphere = 14 696 lblsq In absolute 1 slandard atmosphere 29 9213 Inches Hg (at 32 F-0 Ci 1 standard atmosphere - 34 00 it water (at 75 F-23 9 C ) 1 standard atmosphere 76 cm or 760 mm Hg (at 0 C-32 F 1 pound per sauare lnch 2 036 ~nchesHg (a1 32 F-0 C i 1 pound per square nch 27 763 nches water (at 75 F-23 9 C ) 1 ~ n c hHg (at 32 F) 491 pounds per square nch 1 ~ n c hHg 25 4 m ( m e t e r s Hg 1 k q cm 14 223 1b sq In 1 pound per sq In = 6 895 k~lopascals
Tables on pages 5-11 to 5-13 reproduced by permission from ASME Steam Tables S 0 ~ 1 e tof y Mechan~calEnglneers All rlghts reserved
5-12
' 1967 by The Amer~can
conversion
INGERSOLLUAND
Properties of Saturated Steam-Pressure; Absolute pressure ~n H g
Properties of Saturated Steam-Pressure;
In Hg Abs
Temp F
Sp vol cu i t Ib
Absolute pressure ~nH g
Temp F
Sp vol cu f l lb
50 51 52 53 54 55 56 57 58 59
58 80 59 35 59 90 60 43 6096 6148 6200 6249 62 99 63 47
1256 5 1233 6 12109 1189 5 11683 11484 11286 11102 1091 9 1074 6
1 00 1 01 1 02 1 03 1 04 1 05 1 06 1 07 1 08 1 09
79 03 79 33 79 64 79 94 8023 8 0 52 8 0 81 8110 81 39 81 67
652 3 646 4 640 4 634 4 628 7 623 1 617 5 6120 606 7 601 4
60 61 62 63 64 65 66 67 68 69
63 96 64 43 64 90 65 35 65 81 66 26 66 70 67 13 67 56 67 99
1057 3 1041 0 1024 9 1009 7 994 7 980 3 966 3 952 5 939 4 926 3
110 111 112 113 114 115 116 117 1 18 119
81 82 82 82 83 83 83 83 84 84
70 71 72 73 74 75 76 77 78 79
6840 68 82 69 23 69 63 70 03 70 43 70 81 71 20 71 58 7196
9140 901 7 889 9 8784 867 1 856 1 845 5 835 1 825 0 8151
1 20 1 21 1 22 1 23 1 24 1 25 1 26 1 27 1 28 129
84 65 84 91 8517 85 43 85 68 85 93 86 18 86 43 8668 8692
549 3 544 9 5407 536 6 532 5 528 4 524 5 520 6 5167 5129
2039 19768 19179 1863 0 18109 1761 6 17153 1671 1 1629 9 15900
80 81 82 83 84 85 86 87 88 89
72 72 73 73 73 74 74 74 75 75
33 70 06 42 78 13 48 83 17 51
805 6 796 2 786 9 778 0 7692 760 7 752 4 744 1 736 2 728 4
1 30 1 31 1 32 1 33 1 34 1 35 1 36 1 37 1 38 1 39
87 17 87 41 87 65 87 89 88 12 88 3 6 88 59 88 83 8906 89 28
509 2 505 6 502 0 498 4 494 9 491 5 488 1 484 7 4813 478 1
1553 0 15170 14820 1449 9 14185 1388 4 1360 0 1332 3 1306 2 1280 9
90 91 92 93 94 95 96 97 98 99
75 85 76 18 76 51 76 83 7715 77 47 77 79 78 1 1 78 42 78 73
720 7 713 2 705 9 698 7 6917 684 8 678 1 671 4 6650 658 7
1 40 141 142 1 43 1 44 1 45 1 46 1 47 1 48 1 49
89 51 89 74 89 97 9019 9041 90 6 3 90 85 91 07 91 29 91 50
474 9 471 7 468 5 4654 4624 459 4 456 4 453 5 450 6 447 8
Sp vol cu f l Ib
05 06 07 08 09
543 9 03 12 11 14 8 3 17 24
11200 9400 8300 7250 6500
10 11 12 13 14
19 44 21 42 23 25 24 94 26 53
5860 5320 4960 4520 4210
15 16 17 18
28 0 0 2939 3072 31 9 6
3950 3730 3500 3310
1803 19 20 21 22 23 24 25 26 27 28 29
32 00 3328 34 56 35 78 36 96 38 0 9 3 9 18 40 23 41 23 42 22 43 17 44 08
3306 3147 2997 2861 2736 2624 2520 2424 2336 2253 2177 2106
30 31 32 33 34 35 36 37 38 39
44 9 6 45 8 3 4667 47 48 48 28 49 05 4980 50 53 51 25 51 96
40 41 42 43 44 45 46 47 48 49
52 64 5331 5398 54 6 2 55 25 5588 56 48 57 0 8 57 6 6 58 24
In Hg Abs
(Continued)
Absolute pressure ~n Hg
Temp F
STEAM DATA
CAMERON HYDRAULIC DATA
95 23 51 78 06 33 60 87 13 39
596 591 586 581 576 571 567 562 558 553
Absolute pressure ~n H g
Temp F
Sp vol cu It lb
Absolute pressure ~n Hg
Temp F
Sp vol cu It Ib
Absolute pressure n Hg
Temp F
Sp vol cu ft Ib
2 93 2 94 2 95 2 96 2 97 2 98 2 99
114 11 11423 11435 11446 11458 11470 11482 11494
2368 2360 2353 2345 2338 2330 2322
2 2 2 3 5 8 1 5 1 7
Sp VOI for temp below 3 2 F are apDrox!mate Values from 0 5 to 18 In Hg reproduced by permission from Chemlcal Englneers Handbook by John H Perry publlshed by McGraw-HIII Book Co Inc Values from 1803 to 29 92 In Ha calculated araDhlcallv bv Inaersoll-Rand Co bv Dermlsslon of the authors and publlsher from data In " ~ h e r r i o d ~ n a m~~Yco i e r t l e sbl team" by Keenan a n d ~ e y e s .
1 92 1 93 2 2 2 2
46 47 48 49
Values from 05 to 18 In Hg reproduced by permlsslon from Chemlcal Englneers Handbook by John H Perry publlshed by McGraw-HIII Book Co Inc Values from 1803 to 29 9 2 In Hg calculated graphically by Ingersoll-Rand Co by permlsslon of the authors and publlsher from data In Thermodynam~cProperties of Steam by Keenan and Keyes
INGERSOLLRAND
CAMERON HYDRAULIC DATA
Properties of Saturated Steam-Pressure;
In Hg Abs
Properties of Saturated Steam-Pressure;
(Continued) Absolute pressure ~n Hg
400 4 10
Temp F
12542 12633
SP vol cu ntlb
1767 1726
Absolute pressure ~n Hg
1100 1150
Temp F
1655 1674
Sp vol cuftllb
68 4 65 6
STEAM DATA
Absolute pressure ~nHg
2900 2992
Absolute pressure mm Hg Temp 'F
2104 2120
Sp vol cuft/lb
276 268
Values from 05 to 0 1803 In Hg reproduced by permlssion from Chem~calEng~neersHandbook by John H Perry, published by McGraw-HIII Book Co , Inc Values from 0 1803 to 29 92 In Hg calculated graph~callyby lngersoll Rand Co by permlsslon of the authors and publ~sherfrom data In Thermodynam~cProperties of Steam by Keenan and Keyes For correction of observed vacuum and barometer to standard condition see pages 7-5 to 7-10
Absolute pressure mm Hg
mm Hg Abs
Sp vol cu ft Ib
Absolute pressure mm H g
Temp F
Sp vol cu f t lb
7 8 55 7 9 15 79 74 8 0 33 8090 8 1 46 8 2 02 8 2 56 8310 8 3 63
662 3 6500 638 2 626 8 6158 605 3 594 9 585 2 5756 566 5
50 0 50 5 51 0 51 5 52 0 52 5 53 0 53 5 54 0 54 5
10061 100 94 101 27 10160 101 92 102 24 102 56 10288 10319 10350
3444 341 2 338 0 3349 331 9 328 9 326 0 323 1 3202 3175
30 0 30 5 31 0 31 5 32 0 32 5 33 0 33 5 34 0 34 5
8 4 16 8467 8 5 19 8 5 68 8 6 18 8 6 66 8715 8 7 62 80 0 9 88 55
557 5 5490 540 5 532 4 524 6 516 9 5095 502 4 495 4 4886
55 0 55 5 56 0 56 5 57 0 57 5 58 0 58 5 59 0 59 5
10381 104 12 10441 104 72 105 02 10531 10561 105 9 0 10619 106 47
3148 312 1 3095 306 9 304 4 301 9 299 5 297 1 2947 292 4
1576 1 1504 7 1439 8 1380 1 1326 0 1275 8 1229 5 1186 2 11461 11086
35 0 35 5 36 0 36 5 37 0 37 5 38 0 38 5 39 0 39 5
89 01 8 9 46 89 91 90 34 90 78 91 21 91 63 92 0 5 92 47 92 88
482 0 475 6 469 3 463 3 4574 451 7 446 1 440 6 4353 430 0
60 0 60 5 61 0 61 5 62 0 62 5 63 0 63 5 64 0 64 5
106 76 107 0 5 107 33 10761 107 88 10816 108 43 10871 108 9 8 109 24
290 1 2878 2856 2834 281 2 2791 277 0 2749 272 9 270 9
63 50 64 44 65 3 5 66 24 6710 67 94 68 76 69 56 70 34 7111
1073 6 1040 7 1009 8 980 8 9535 927 7 903 3 880 4 858 5 8375
40 0 40 5 41 0 41 5 42 0 42 5 43 0 43 5 44 0 44 5
93 29 93 69 94 09 9448 94 87 95 26 95 64 9611 96 39 96 76
425 0 420 0 415 1 4104 4058 401 4 397 0 3927 388 4 384 2
65 0 65 5 66 0 66 5 67 0 67 5 68 0 68 5 69 0 69 5
109 51 109 77 11004 11030 11056 110 82 11107 11 1 33 11158 11183
269 0 267 1 2652 2633 2614 2596 2578 256 0 2543 2526
71 85 7 2 59 73 31 7401 74 69 75 36 76 03 76 67 77 31 77 94
817 8 798 9 780 9 7636 747 3 731 7 716 4 702 1 688 3 674 9
97 13 9 7 49 97 85 98 21 98 56 9891 99 26 99 60 99 94 10028
380 3 376 4 3726 3688 365 1 3614 357 9 354 4 351 0 3477
70 0 70 5 71 0 71 5 72 0 72 5 73 0 73 5 74 0 74 5
11208 11233 11258 11282 11306 11331 11355 11379 11403 1'4 26
2509 2492 2475 2459 2443 2427 2411 2396 2381 236 6
Temp F
Sp v o cu f l Ib
15 20 25 30 35 40 45
8 73 14 5 0 1909 22 91 26 19 29 05 31 62
9700 7300 5920 4950 4250 3780 3380
25 25 26 26 27 27 28 28 29 29
0 5 0 5 0 5 0 5 0 5
4 579 50 55 60 65 70 75 80 85 90 95
32 0 0 34 17 36 55 38 7 7 40 8 2 42 75 44 55 46 25 47 8 6 49 37 50 8 3
3306 3042 2779 2558 2372 2211 2070 4 1946 8 1838 0 1741 8 1654 4
10 0 10 5 11 0 11 5 120 12 5 13 0 13 5 140 14 5
52 21 53 5 5 54 8 2 5605 57 22 58 36 59 45 6051 6154 6254
15 0 15 5 16 0 16 5 170 17 5 18 0 18 5 190 19 5 20 0 20 5 21 0 21 5 22 0 22 5 23 0 23 5 24 0 24 5
45 45 46 46 47 47 48 46 49 49
0 5 0 5 0 5 0 5 0 5
Temp F
Sp vol for temp below 32'F are approximate. Values from 1.5 to 4.579 mm Hg calculated from data n Chemlcal Engineers Handbook by John H Perry. published by McGraw-Hill Book Co., Inc. Values lrom 4 579 to 760 mm Hg calculated graph~callyby Ingersoll-Rand Co. by permlssion of the authors and publisher from data In 'Thermodynamic Properties of Steam by Keenan and Keyes
INGERSOLLRAND
Properties of Saturated Steam-Pressure; Absolute pressure m m Hg
T:mp F
Sp vol cuftllb
STEAM DATA
CAMERON HYDRAULIC DATA
Absolute pressure mmHg
Temp F
Sp vol cu ftllb
Properties of Saturated Steam-Pressure
mm Hg Abs (cont.) Absolute pressure mm Hg
Temp 'F
Sp vol cu ftllb
Spec~flcvolume 11 Ibm Abs press Ib ~n
Temp F
Enthaipy btullbm
Water
Steam
Water
V,
V.
h,
Steam h,
Table
Entropy btu Ibm x F Water
Steam
5
5,
Abs press lb ~n
Values from 1 5 l o 4 579 mm Hg calculated from data In Chemlcal Eng~neersHandbook by John H Perry published by McGraw-HIII Book Co , Inc Values from 4 579 to 760 mm Hg calculated graph~callyby Ingersoll-Rand Co by permlsslon of the authors and publisher from data In Thermodynam~cproperties of Steam by Keenan and Keyes
I I I I I I I Tables on pages 5-19 to 5-20 reproduced by permlsslon from ASME Steam Tables Amer~canSoclety of Mechanical Engineers All rlghts reserved
I
1967 by The
INGERSOLLRAND
CAMERON HYDRAULIC DATA
Properties of Saturated Steam-Pressure
Table (cont.)
Tables on pages 5-19 to 5-20 reproduced by permission from ASME Steam Tables Amerlcan Soclely of Mechan~calEng~neers All rlghfs reserved
STEAM DATA Properties of Superheated Steam
1967 by The
Tables o n pages 5.21 t o 5 2 4 reproduced from ASME Steam Tables' 1967 by The Amerlcan Soc~etyof Mechan~calEngineers All rlghts reserved +Sh = superheat v = speclflc volume ~nff3'lb, h = total heat In Btuilb, s = entropy In 6tui"FIlb
INGERSOLLRAND
CAMERON HYDRAULIC DATA
STEAM DATA
Properties of Superheated Steam (cont.)
Properties of Superheated Steam (cont.) Abs press b ln(sat temp-F)
4000
Tables on pages 5 2 1 to 5 2 4 reproduced from ASME Steam Tables ' 1967 by The Amerlcan Soclety of Mechan~calEng~neersAll rlghts reserved 'sh = Superheat v = spec~flcvolume In ft3/lb h = total heat In Btullb s = entropy In BtuPFllb
Temperature-degrees Sat water
v h s
Sat steam
1
Fahrenheit
I
700
800
0 1052 11743 12754
900
1000
1200
1400
1500
0 1463 13116 13807
0 1752 14036 14461
02210 15522 15417
02601 16857 16177
02783 17506 16516
Tables on pages 5-21 to 5 2 4 reproduced from ASME Steam Tablesc 1967 by The Amer~canSoc~etyof Mechan~calEng~neersAll rlghts Reserved 'sh = superheat v = s p e c ~ f ~volume c In ft311b, h = total heat In Btujlb, s = entropy In BluPFllb
INGERSOLLRAND
CAMERON HYDRAULIC DATA
STEAM DATA
Properties of Superheated Steam (cont.)
Theoretical Steam Rates, Condensing for Engines and Turbines Ib per hp-hr Exhaust pressure-in 3.0 ln~tial temp "F
2.5
2.0
1.5
1.0
150 Ib gage 365.8"F saturated steam
7.67 7.42 7.18 6.95 6.72
7.45 7.22 6.98 6.76 6.53
I
'2: 6.98
": ". 6.72
6.38
6.55 6.34
6.31 6.1 1
6.00 5.82
I
I
I
1
7.39
1
7.21
1
7.01
1
I
6.76
1
2.5
2.0
1.5
1.0
250 Ib gage 406°F saturated steam
1
300 Ib gage 421.7"F saturated steam 421.7
3.0
175 Ib gage 377.4"F saturated steam
200 Ib gage 387.8"F saturated steam
I
Hg abs
I
I
I
400 Ib gage 448.1°F saturated steam 6.47
Tables on pages 5-21 to 5-24 reproduced from ASME Steam Tables 1967 by The Amer~canSoclety of Mechancal Engneers All r ~ g h t sreserved 'sh = superheat v = s p e c ~ f ~volume c In ft311b h = total heat In Btuilb s = entropy In Btu1"Filb
750 800 850
5.94 5.76 5.57
5.81 5.63 5.45
5.66 5.49 5.32
5.48 5.31 5.15
5.25 5.09 4.94 I
600 Ib gage 488.8"F saturated steam
goo 950
1
5.02 4.86
1
-
- -
4.93 4.78
1
4.82 4.67
1
4.69 4.55
/
I
I
I
800 Ib gage 520.3"F saturated steam
4.52 4.39
INGERSOLLRAND
STEAM DATA
CAMERON HYDRAULIC DATA
Theoretical Steam Rates, Condensing for Engines and Turbines
Theoretical Steam Rates, Non-Condensing for Engines and Turbines-lb per hp-hr
Ib per hp-hr
150 Ib gage, 3653°F saturated steam
Exhaust pressure-ln 3.0
lnitial temp "F 700 750 800 850 900 950 1000
2.5
2.0
5.41 5.21 5.04 4.88 4.73 4.59 4.45
5.28 5.10 4.93 4.78 4.63 4.49 4.36
4.97 4.80 4.65 4.50 4.37 4.24 4.12
5.15 4.97 4.81 4.65 4.52 4.38 4.26
2.0
1.5
365.8
1.0
1200 Ib gage 568.8"F saturated steam
1000 Ib gage 546.4"F saturated steam 5.51 5.31 5.14 4.97 4.81 4.67 4.52
2.5
3.0
1.0
1.5
lnitial temperature, "F
Hg abs
....
....
....
....
....
5.27 5.08 4.91 4.76 4.61 5.47
5.17 4.99 4.83 4.67 4.53 4.39
5.07 4.89 4.73 4.58 4.44 4.31
4.94 4.77 4.61 4.47 4.33 4.21
4.77 4.62 5.46 4.33 4.20 4.08
400
450
700
750
800
234
284
334
384
434
12.5 13.9 15.3 16.6
12.0 13.3 14.6 15.8
11.5 12.7 13.8 15.0
11.0 12.1 13.2 14.3
10.5 11.5 12.6 13.7
10.0 11.0 12.1 13.1
19.0 20.5 22.1 23.8
18.0 19.4 20.9 22.5
17.1 18.4 19.2 21.3
16.2 17.5 18.8 20.2
15.5 16.7 18.0 19.3
14.8 15.9 17.2 18.5
14.1 15.3 16.4 17.7
27.1 29.3 31.6 36.8
25.6 27.7 29.7 34.6
24.2 26.0 28.0 32.6
23.0 24.7 26.5 30.9
21.8 23.5 25.2 29.3
20.8 22.3 24.0 28.0
19.9 21.4 22.9 26.8
19.0 20.5 22.0 25.6
43.2 51.2 ....
40.5 48.1
38.2 45.3
....
....
36.2 42.9 51.7
34.3 40.8 49.2
32.8 38.8 47.0
31.4 37.2 44.9
30.1 35.6 43.0
650
700
750
800
0
34.2
84.2
134
184
0 5 10 15
14.4 16.2 17.9 19.6
14.1 15.7 17.4 19.1
13.6 15.1 16.7 18.3
13.1 14.6 16.0 17.5
20 25 30 35
21.3 23.2 25.0 27.1
20.8 22.6 24.4 26.4
19.9 21.6 23.3 25.2
40 45 50 60
29.3 31.7 34.3 40.2
28.5 30.8 33.3 39.0
70 80 90
47.3
45.8 .... ....
....
....
200 Ib gage, 387.8"F saturated steam
lnitial temperature, "F
100 Ib gage, 337.9"F saturated steam
387.8
lnitial temperature, "F
lnitial superheat, "F 0
12.1
62.1
112
162
600
650
Ib per hp-hr
-
550
Initial superheat, F
Theoretical Steam Rates, Non-Condensing
Exhaust press l blsq in gage
500
Exhaust press lblsq In Sage
212
262
312
362
412
400
450
500
550
600
Exhaust press lblsq in gage
0
12.2
62.2
112
162
212
262
312
262
412
0 5 10 15
13.1 14.4 15.7 17.0
13.0 14.3 15.6 16.9
12.5 13.7 15.0 16.2
12.0 13.2 14.3 15.5
11.5 12.7 13.8 14.9
11.1 12.1 13.2 14.1
10.6 11.6 12.5 13.5
10.2 11.1 12.0 12.8
9.7 10.6 11.4 12.2
9.3 10.1 10.9 11.7
20 25 30 35
18.3 19.6 20.9 22.3
18.1 19.4 20.8 22.1
17.4 18.6 19.9 22.1
16.6 17.8 19.0 20.2
15.9 17.0 18.0 19.1
15.1 16.1 17.1 18.1
14.4 15.3 16.2 17.2
13.7 14.6 15.4 16.3
13.1 13.9 14.7 15.6
12.5 13.3 14.1 15.0
40 50 60 70 80 90 100 110
23.8 26.8 30.1 34.0 38.3 43.5 49.6 ....
23.6 26.5 29.9 33.8 38.0 43.1 49.2
22.5 25.3 28.5 32.0 36.1 40.9 46.5
21.4 24.1 27.0 30.2 33.9 38.3 43.3 49.4
20.3 22.7 25.4 28.4 31.9 35.9 40.7 46.5
19.2 21.4 24.1 26.9 30.2 34.0 38.5 44.1
18.2 20.4 22.8 25.5 28.6 32.3 36.6 41.8
17.3 19.4 21.7 24.3 27.3 30.7 34.8 39.8
16.5 18.5 20.7 23.2 26.0 29.3 33.3 38.0
15.8 17.7 19.8 22.2 24.9 28.1 31.8 36.5
Initial superheat, O F
....
....
CAMERON HYDRAULIC DATA
STEAM DATA
Theoretical Steam Rates, Non-Condensing for Engines and Turbines
Theoretical Steam Rates, Non-Condensing (Continued) for Engines and Turbines
250 Ib gage, 406.0°F saturated steam
400 Ib gage, 448.1°F saturated steam
lnitial temperature, "F 406 Exhaust press lblsq in gage 0 5 10 15
450
500
550
600
650
700
lnitial temperature. "F 750
800
448.1
850
500
550
650
700
800
850
900
302
352
402
452
750
o
44
94
144
194
244
294
344
394
444
12.1 13.3 14.4 15.4
11.7 12.8 13.9 14.9
11.3 12.3 13.3 14.3
10.9 11.8 12.8 13.7
10.4 11.4 12.3 13.1
10.0 10.9 11.7 12.5
9.6 10.4 11.2 11.9
9.2 10.0 10.7 11.4
8.8 9.6 10.2 10.9
8.5 9.2 9.8 10.4
0 5 10 20
10.6 11.5 12.2 13.7
10.2 11.0 11.7 13.0
9.8 10.5 11.2 12.5
9.4 10.1 10.8 11.9
9.0 9.7 10.3 11.4
8.7 9.3 9.9 10.9
8.4 8.9 9.5 10.4
8.0 8.6 9.1 10.0
7.7 8.2 8.7 9.6
7.4 7.9 8.4 9.2
30 40 50 60
15.0 16.3 17.6 18.9
14.3 15.6 16.8 18.0
13.7 14.8 16.0 17.2
13.1 14.1 15.2 16.3
12.5 13.5 14.5 15.5
11.9 12.8 13.8 14.7
11.4 12.2 13.1 14.0
10.8 11.7 12.5 13.3
10.4 11.2 11.9 12.8
9.9 10.7 11.4 12.2
80 100 120 140
21.7 24.7 27.9 31.6
20.6 23.4 26.5 29.9
19.6 22.2 25.0 28.1
18.5 20.9 23.5 26.4
17.5 19.7 22.2 24.9
16.6 18.7 21.0 23.6
15.8 17.8 20.0 22.4
15.1 17.0 19.1 21.4
14.4 16.2 18.2 20.5
13.8 15.6 17.5 19.6
160 180 200
35.8 40.7 46.6
33.8 38.4 43.7
31.7 35.8 40.6
29.7 33.5 38.1
28.0 31.7 36.0
26.5 30.0 34.1
25.2 28.5 32.4
24.1 27.2 30.9
23.0 26.0 29.6
22.1 25.0 28.4
900
950
1000
Initial superheat, "F
Initial superheat, "F 0
51.9
102
152
202
252
300 I b gage, 421.PF saturated steam
600 Ib gage, 488.8"F saturated steam
lnitial temperature, "F 421.7 Exhaust press l blsq in gage
600
Exhaust press lblsq i n gage
450
500
550
600
650
700
lnitial temperature, "F 750
800
850
Initial superheat, "F 0
28.3
78.3
128
178
228
278
328
378
428
0 5 10 15
11.5 12.5 13.5 14.4
11.2 12.2 13.2 14.0
10.8 11.7 12.6 13.4
10.4 11.3 12.1 12.9
10.0 10.8 11.6 12.3
9.6 10.4 11.1 11.8
9.2 10.0 10.6 11.3
8.9 9.6 10.2 10.8
8.5 9.1 9.7 10.3
8.2 8.8 9.3 9.9
20 30 40 50
15.3 17.0 18.7 20.5
14.9 16.5 18.3 20.0
14.3 15.8 17.4 19.1
13.7 15.1 16.6 18.1
13.1 14.4 15.8 17.3
12.5 13.7 15.0 16.3
11.9 13.1 14.3 15.5
11.3 12.5 13.6 14.8
10.8 11.9 13.0 14.1
10.4 11.4 12.4 13.5
60 80 100 120
22.4 26.5 31.2 36.6
21.8 25.7 30.2 35.6
20.7 24.5 28.7 33.5
19.7 23.1 27.0 31.5
18.7 21.8 25.4 29.7
17.7 20.6 24.1 28.1
16.8 19.6 22.8 26.8
16.0 18.7 21.8 25.5
15.3 17.9 20.8 24.4
14.6 17.1 19.9 23.3
140 160 180
43.5 52.3
42.2 50.4
39.7 47.2
37.1 44.1
....
....
35.0 41.6 50.5
33.1 39.4 47.7
31.4 37.3 45.3
30.1 35.6 43.1
28.7 34.2 41.3
27.4 32.6 39.6
....
....
575 Exhaust press Iblsq in gage
600
650
700
750
800
850
lnitial superheat, "F
Pages 5-25 to 5-29 calculated from "Theoretical Steam Rate Tables" by J. H. Keenan and F. G. Keyes, published by American Society of Mechanical Engineers.
INGERSOLL-RAND CAMERON HYDRAULIC DATA
STEAM DATA -
- -
Corrections to Rankine Cycle Efficiency Curves Superheat Corrections
Approximate Turbine Efficiency*-Rankine Cycle 3600 rprn
Single-stage
-
Type of turbine
Add or subtract to or from RCE
Correction method Superheat
/Y 1
I0 psigl I /
g
I
CONDENSING
-600 p s i r
Y
5a 40,200
1
FOR A P P R O X I M A T I O N S O N L Y
I
I
300 400
l
2" Hg Abs, Exhaust - loo0 F Superheat 3600 RPM l
I
I
I
600 800 I000 1500 2000 TURBINE HORSEPOWER
Non-condensing
Condensing
Multiply
Multiply
0.963 1.000 1.012 1.015
0.977 1.000 1.018 1.034
add 0.6
0°F 100°F 200°F 300°F W
Multi-stage
Non-condensing
-
Subtract 0.6 Subtract 1.2
Speed Correction Multiplier for Speeds Other Than 3600 rpm Multi-stage Turbines Only
I
Non-condensing
3000 4000 5000 D-1343
Condensing
RPM
3000
5000
7500
10,000
3600
5000
7500
10,000
BHP 500 1000 2000 3000 5000
1.000 1.000 1.000 1.000 1.000
1.030 1.013 1.001 0.997 0.994
1.036 1.006 0.980 0.968 0.959
1.018 0.982 0.940 0.920 0.902
1.000 1.000 1.000 1.000 1.000
1.000 1.000 1.000 1.000 1.000
1.000 1.000 1.000 0.984 0.955
1.000 1.000 0.957 0.929 0.895
EFFICIENCY Page 5-30 gives approximate Rankine cycle efficiencies (RCE) for single-stage and multi-stage turbines at various ratings and steam pressures. These data may be used only for rough estimating. There is considerable variance between manufacturers for a given rating and condition, some offering a higher efficiency, some lower, depending upon how the conditions match a particular size or design.
I
100
200
300 400
600 800 1000
1500 2000
TURBINE HORSEPOWER
3000 4000 5000 D-1344
Theoretical Steam Rate Formulas TSR
=
Steam flou (Ibihrl =
I
I
2545 AH
'
TSR x hp corrected efhc~encg
100 -.
where the back pressure is in psig."
TSR = theoret~calsteam rate-lblhp-hr AH
*
=
difference ~n enthalpy between inlet and exhaust steam ( ~ e n t r o p s )
Corrections for superheat and speed on next page.
Although very large turbines a r e used for certain types of drives, a limit of 5000 hp has been chosen for these data since it was felt this encompassed the majority of drives where such data would be used. I t is to be expected that larger units would have higher efficiencies. F o r example, a 25,000 hp, 3600 rpm turbine a t 600 psig, 750°F and 5" H g abs. exhaust, would have an efficiency of about 82%. "Single-stage turbines often operate a t some back pressure. The curves a r e based on 5 psig back pressure. For back pressures to 50 psig multiply RCE from t h e curves by a correction factor equal to: 0-25 (backhressure - 5) corr. Factor = 1 +
I
8
Condensing turbines show a small increase in RCE for higher absolute exhaust pressure (lower vacuums), but it is not slgmficant for the purpose of . . these curves.
CAMERON HYDRAULIC DATA Gas o r Vapor Flow For flow problenls involving gas or vapor the Darcy formulae are: dV - 6.32 W - 2273.5 Qp - 378.9 q p R = Dvp = - - - dz 32.174 u 12 v (l z (1z
STEAM DATA The Darcy formula can not be applied indiscriminately to vapor or gas flow because it does not take into account the affect compressibility has on velocity and density. 1. When h,, is less than 10% of upstream pressure, reasonable accuracy is obtained. Base p and V on either upstream or downstream conditions. 2. When h , is between 10 and 4 0 9 of upstream pressure, reasonable accuracy is obtained by using p and V based on an average of upstream and downstream conditions. 3. When h , is over 404 of upstream pressure divide the total length into shorter sections and add the pressure drops for each section.
FRICTION O F STEAM IN PIPES Use of tables and charts, pages 5-34 to 5-37 and 5-39 Symbols D = internal pipe dia-ft d = internal pipe dia-in f = frlction factor (page 3-11) g = acceleration due to gravity -32,174 ftlsecL h, = pressure drop -inches of water h, = pressure drop-psi L length of pipe-ft p = density a t temp and press of flow conditions-lb/fti q = flow-cfm-ftilmin Q = flow-cfs-ft3/sec R = Reynolds number s, = specific gravity of gas (air = 1) u = absolute viscosity = Ibf-sec/ft2 V = velocity of flow-(ftlsec) v = kinematic viscosity (ftL!sec) W = flow-lb!hr w = specific volume-ft
-
Erarrtple Given a flow of 30,000 lbihr of steam a t 125 lblinLpage and 100°F of superheat through 955 feet of 8-inch pipe with two ~ " ~ l b o and w s one gate valve. What is the friction loss?
Solrltio~~ Steam a t 125 lb/in2 gage pressure will be approximately 125 + 15 atmospheric pressure = 140 lb!in2 absolute pressure. From the table on page 5-19, the temperature of 140 Ib/in2 steam without superheat is 353°F. The total temperature with superheat is 353 + 100 = 453°F. From the table on page 5-39, the length of pipe equivalent to the friction loss through two 90" elbows is 2 x 20 = 40 ft and the equivalent length for a gate valve is 5.32 ft. The total equivalent length of pipe is 955 + 40 + 5.32 = 1000 ft. Enter the table on page 5-34 a t 125 1b/in2 gage pressure and 450°F total heat, finding a correction factor of 2.641. a Divide the steam flow of 30,000 lblhr by 2.641 which gives an equivalent flow of 11,359 lblhr for use in the chart. Now enter the chart on page 5-37 at 11,359 l b k r . Run vertically to the line for 8-inch pipe and then horizontally to the right, reading a friction loss or pressure drop of 0.005 lbiin' per ft. F o r 1000 equivalent feet of pipe the friction loss is 1000 x 0.005 = 5 lb/in2.
INGERSOLL-RAND
CAMERON HYDRAULIC DATA
STEAM DATA I
I
Friction Loss for Steam Based on '12 Ib gage pressure. See page 5-34 to convert to other pressures
0 N
0
3
0
0
0
0
m 3 m l a m _ 3 FLOW POUNDS/ HOUR
N
Friction Loss of Steam (Continued) Based on '/2 Ib gage pressure. See page 5-34 to convert to other pressures
m
I
INGERSOLLnAND m
f-0
m m o - N V
CAMERON HYDRAULIC DATA r-mh m m z
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m m m h ~ ww h e n e w ~ l n m
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zz=k
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r
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m e f o o h m m r "
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INGERSOLLRAND
CAMERON HYDRAULIC DATA
I
STEAM DATA Psychrometric Chart Examples showing use of chart on page 5-40 CONDITIONS: 95" dry-bulb and 75" wet-bulb Relative humidity: A t intersection of 75" wet-bulb and 95" dry-bulb the relative humidity is read directly on the curved lines as 40 per cent. Dew poiyzt: At intersection of 75" wet-bulb and 95" dry-bulb lines, the dew point is read directly on horizontal temperature lines as 67". V a p o r pressure: At intersection of 75" wet-bulb and 95" dry-bulb lines, pass in horizontal direction to left of chart and on scale read the vapor pressure as 0.33 lb per sq in abs. Vapor pressure in inches, Hg (at 32°F) = 2.036 x lblsq in abs. Vapor pressure in millimeters, Hg (at 32°F) = 51.71 x lblsq in abs. Total heat above 0" i n mixture per lb of dry a i r : From where wetbulb line joins saturation line, follow 75" wet-bulb line upward t o its intersection with slanting scale at left of chart read 38.5 Btu per lb of dry air saturated with moisture. The use of this scale to obtain total heat in the mixture at any wet-bulb temperature is a great convenience, as the number of Btu required to heat the mixture and humidify, as well as the refrigeration required to cool and dehumidify the mixture, can be obtained by taking the difference in total heat before and after treatment of the mixture. Grains of moisture per lb of dry a i r : From intersection of 95" dry-bulb and 75" wet-bulb temperature lines follow horizontal line to right and read directly 99 grains of moisture per lb. C u . f t of wlixture per lb of dry air: At intersection of 75" wet-bulb and 95" dry-bulb lines read directly on diagonal lines 14.29 cu ft per lb, which is the specific volume. C o p g r ~ g h tby General Electrlc Cornpan). Reproduced bq perrnlsalon.
Copyright by General Electric Company
5-40
Kel~roducedby perrniss~on
Requirements in U.S. gpm for Boiler Feeding Boiler hp
QPm
Ib per hr
Boiler hp
gPm
Ib per hr
50 75 100 150
4 5 7 10
1,725 2,587. 3,450 5,175
2,500 3,000 3,500 4,000
172 207 242 276
86,250 103,500 120,750 138,000
175 200 225 250
12 14 16 17
6,037 6,900 7,762 8,625
4,500 5,000 10,000 15,000
310 345 689 1,034
155,250 172,500 345,000 517,500
275 300 350 400
19 21 24 28
9,487 10,350 12,075 13,800
20,000 25,000 35,000 40,000
1,387 1,723 2,413 2,759
690,000 862,500 1,207,500 1,380,000
500 750 1,000 1,500 2,000
34 53 69 104 138
17,250 25,875 34,500 51,750 69,000
45,000 50,000 60,000 80,000 100,000
3,102 3,447 4,136 5,515 6,894
1,550,000 1,725,000 2,070,000 2,760,000 3,450,000
Note: (a) gpm is given to the nearest whole number. (b) The above water quantities are based on 34.5 Ib of water evaporated per hour from and at 212 deg F. The weight of one gallon of water is taken as being equal to 8.34 Ib at 60 deg F. Intermediate water quan. tities in gal per min are obtainable by multiplying the boiler hp by .069. (c) In selecting boiler feed pumps, the fact that boilers are often run two or three hundred percent of rating should be taken into consideration. The above figures are of the actual boiler horsepower developed. (d) Boiler feed pumps should have pressure in excess of the boiler rated pressure in order to compensate for frictional losses, entrance losses, regulating valve losses, and normal static head. These should be specified for a particular installation. However, for estimating purposes, the following are fair values: Boiler Pressure
Boiler Feed Pump Discharge Pressure
rl
I
\
/
SECTION VI
ELECTRICAL DATA
INGERSOLLRAND
CAMERON HYDRAULIC DATA
ELECTRICAL DATA Electrical Data
CONTENTS OF SECTION 6 Electrical Data Page Summary of Electrical Formulas . . . . . . . . . . . . . . . . . . . . . . . . 6-3 Motor Selections . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6-4 Motor Efficiencies . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6-5 Motor Characteristics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6-6 Full Load Currents of Motors . . . . . . . . . . . . . . . . . . . . . . . . . . 6-8 Motor Wiring . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6-9 Motor Branch Circuit Protection . . . . . . . . . . . . . . . . . . . . . . . 6-11 Properties of Conductors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Carrying Capacity of Insulated Wire . . . . . . . . . . . . . . . . . . . . Effect of Voltage and Frequency Variation . . . . . . . . . . . . . . . Allowable Voltage and Frequency Variations . . . . . . . . . . . . . . Full Load Speeds of Synchronous Motors . . . . . . . . . . . . . . . .
Volt (E) is the unit of electric pressure or electromotive force. I t is the potential which will produce a current of 1 ampere through a resistance of 1 ohm. Ampere (I) is the unit of electrical current (coulombs per sec) Ohm (R) is the unit of electrical resistance-volts/ampere. Watts (W) and Kilowatts (KW) are units of electric power. Kilovolt-amperes (KVA) is a measurement of apparent electric power. Kilowatt hour (Kwhr) is a unit of electrical energy or work performed. Joule (J) metric unit of energy = watt per sec. 1Kwhr = 2,655,000ft-lb = 1.341 hp-hr = 3413 Btu = 3,600,000joules Ohm Law Relationships (direct current) E
=
IR
= WII =
I = EIR
v'mi
= W/E =
VWE
W = 12R= E2/R = E I R = El1 = W/12= E2/W
Electrical Formulas Symbols as above; plus eff = efficiency (expressed as a decimal) pf = power factor (expressed as a decimal) hp = horsepower output
6-12 6-14 6-15
Alternating current
6-16 6-17
Direct current
Required
NEMA Motor Frame Dimensions (T/TS) . . . . . . . . . . . . 6-18 & 6-19 Bedplate Pad and Motor Dimensions 6-20 thru 6-23 for NEMA Motor Frames . . . . . . . . H.1.-NEMA Type C Face-Mounted Motors Standard Dimensions . . . . . . . . . . . . . . . . Dimensions (Type C, JM and J P Motor Shafts) . . . . . . . . . . . . 6-25
Kva
H.I. -NEMA Type H P and H P H Vertical Solid Shaft Motor Standard Dimension . . . . . . . . . . . . . . . . . . . . . . . . . . . 6-26 Dimensions ( H P - H P H ) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6-27 Standard Dimensions for NEMA Vertical Inline Motor Shaft Extensions (P-Base Construction) . . . . . . . . . . . . 6-28
Joules
Single-phase
3-phase*
Kilowatts
/
IE(eff)
Horsepower (output)
IE sec
1.73 lE(eff)(pf) 746
IE(eff)(~f) sec
1.73 IE (eff) (pf) sec
Amperes (hp known)
746(h~) E(eff)
746(h~) E(eff)(pf)
746(h~) 1 .73 E(eff)(pf)
Amperes (kw known)
1000 kw E
1000 kw
1000 kw 1.73 E(pf)
E(pf)
Amperes (kva known)
' For 3-phase systems E
IS
measured l ~ n eto llne and I
IS
phase current.
6- 3
INGERSOLL-RAND CAMERON HYDRAULIC DATA
g
ELECTRICAL DATA
Motor selection
70% of full load torque for 3600 rpm motors and 80% for 1800 rpm motors.
Motors operate successfully where voltage variation does not exceed 10 percent above or below normal or where frequency variation does not exceed 5% above or below normal. The sum of the voltage and frequency variation should not exceed 10%.
I t is important to check the starting and accelerating torque requirements of the driven machine in order that a motor may be selected with adequate torque.
I t should be noted that such variations will affect the operating characteristics, such as full load and starting current, starting and breakdown torque, efficiency and power factor. Standard motors are available to meet a wide variety of conditions. In addition, special motors may be built to meet unusual conditions.* I t is wise to go to the motor manufacturer with the conditions of operation.
Manufacturers can build motors with special torque characteristics if required.
Motor speeds The synchronous speed of AC motors is determined by the number of poles and frequency. 120 x f Synchronous speed = -where P f = frequency in Hertz (Hz)-(cycles) p = number of poles
Information required will include: Voltage and frequency of current (including probable variations in frequency and voltage). Horsepower requirement of the driven machine. Whether the load is continuous, intermittent or varying. The operating speed or speeds. Method of starting the motor. Type of motor enclosure-such as drip-proof, splash-proof, totally enclosed, weather protection, explosion proof, dust-ignition proof or other enclosure. The ambient or surrounding temperature. Altitude of operation. Any special conditions of heat, moisture, explosive, dust laden, or chemical laden atmosphere. Type of connection to driven machine. (direct, belted, geared, etc.) Transmitted bearing load to the motor. (overhung load, thrust, etc.)
Induction motors will have full-load speeds 2% to 5% below the synchronous speed.
D-C motors have full-load base speeds when hot of 500, 850, 1150, 1750, 2500 and 3500 rpm. In general the % slip decreases as motor horsepower increases. See speed chart on page 6-16 Typical Efficienciesof Low Voltage (2301460) Three-Phase Motors 3600 and 1800 rpm -
Synchronous motors-unity
Induction motors Horsepower
Torque Torque is the turning effort caused by a force acting normal to a radius a t a set distance from the axis of rotation. I t can be expressed in lb-ft (lb a t a radius of 1 ft). The full-load torque of a motor is: Full-load torque =
5250 x hp
rpm The locked rotor or starting torques are given in the tables on page 6-6 and 6-7. Above 250 hp the locked rotor torques are normally * See page 6-11.
6- 4
1-2 3-5 10-25 25-50 75- 100 125-200 201-500 501 -1500
Full load
76 80 85 87 90.5 91.5 92-93.4 93-94.8
% load
75 80 85 87
1/2
load
71 77 82 86
90.5 91 91 92 91.8-93.4 90-91.5 93-94.8 91 -93
Full load
87 89.5 87 93-95.3 95-96.2
% load
83 88.5 80 92.7-95 95-95.9
pf
% load
75 84 80.5 91-93.2 93-95.2
'
ELECTRICAL DATA
CAMERON HYDRAULIC DATA
INGERSOLLRAND
Typical Motor Characteristics (Continued)
Typical Motor Characteristics Singlephase-60 Amperes-230
Horse power
Approx full load rpm
Typical full load
Three-phase-60
Hertz
volt
NEMA locked rotor
(max)
Three-phase-60
Approx torque-lb-ft NEMA code letter
Full load
Locked rotor (min)
Breakdown full-load (min)
o r power
1
Approx speed
1
Amperes-460 Typ~cal I load
1
Hertz (NEMA des~gn8 )
volt NEMA max
1
Hertz (NEMA design 0 )
From General Electr~cand Nat~onalElectrical Code
letter
1
Full load
I
Approx torque lb-fl
(Starting) Locked rotor (mln)
I
Breakdown full-load Imlnl
INGERSOLLRAND
ELECTRICAL DATA
CAMERON HYDRAULIC DATA
Approx Full Load Current of Electric Motors
Motor Wiring
!
Not more than 3 conductors in raceway, cable or direct burial Based on ambient temperature of 30C (86F)
Approx full-load current, amps Horsepower
x1.0
x1.25
Minimum wire size, type THW or RHW AWG
From 1975 Nat~onalElectr~calCode-Tables 430-147. 148. 150 For motors runntng at normal speeds wlth normal torque character~st~cs Motors bullt for low speed or hlgh torque may requlre more current For synchronous motors wtth 0 90 or 0 80 power factor multtply current shown by 1 1 and 1 25 respecttvely
J
7% 10 15 20 25 30 40
50 60
.
-
P
Fuse
115 volt-Singlephase
lnduction Motors
230 volt-Single-phase
lnduction Motors
230 volt-Threephase 1 1'/2 2 3 5
Al
Cu
Branch circuit protection average settingamps Breaker
Horse power
Squirrel-Cage lnduction Motors
3.6 5.2 6.8 9.6 15.2
4.5 6.5 8.5 12 19
14 14 14 14 12
12 12 12 12 10
15 15 20 30 45
15 15 15 15 30
1 11/2 2 3 5
22 28 42 54 68
27.5 35 52.5 67.5 85
10 6 4 4
8 8 4 3 2
60 80 125 150 200
30 50 50 100 100
7'/2 10 15 20 25
80 104 130 154
100 130 162.5 192.5
3 1 210 310
1 210 410 250 MCM
225 300 350 400
100 150 150 225
30 40 50 60
8
Table from General Electr~c,based on section 430-22 and Table 430-147 from National Electric Code. Column ent~tledx1.25 multiplies full load current by 1.25 to a ~ dIn selecting motor branch circuit conductors. 6-9 Wire size based on conductors hav~ng75C ~nsulat~on.
INGERSOLLRAND CAMERON HYDRAULIC DATA
Horsepower
ELECTRICAL DATA
Motor Wiring (Continued)
Motor Branch Circuit Protection Devices
Not more than 3 conductors in a conduit, cable or raceway Based on ambient temperature of 30C (86F)
Maximum rating or setting
Approx full-load current, amps
Minimum wire size type THW or RHW AWG
Branch circuit protection average settingamps
x l .O
Cu
Fuse
XI .25
460 volts-Three-phase
Al
Breaker
Horsepower
Squirrel Cage Motors
From National Electric Code-1975. 'Synchronous motors of the low-torque, low-speed type (usually 450 rpm or lower) which start unloaded do not require a fuse rating or circuit-breaker setting in excess of 200 percent of full-load current. Such motors are often used t o drive reciprocating compressors. pumps, etc.
Table from General Electric, based on section 430-22 and Table 430-147 from National Electric Code. Column entitled x1.25 multiplies full load current by 1.25 to aid in selecting motor branch circuit conductors. Wire size based on conductors having 75C insulation.
Wet and Canned Type Motors Motors are available, or can be designed and built, of either the "canned" type or "wet" motor type when seal-less or wet motor glandless type pump and motor assemblies may be required due to difficult stuffing box packing problems. Toxic liquids at high pressures and temperatures may require a hermetically sealed "canned" type pump and motor assembly. For water at high pressure and temperatures such as on boiler circulating service it may be desirable to use a "wet" motor glandless type pump and motor assembly. In all cases where unusual or difficult pump problems may be involved the pump manufacturer should be consulted.
INGERSOLLUAND CAMERON HYDRAULIC DATA Properties of Conductors
ELECTRICAL DATA Multiplying Factors for Converting Resistance to 60-Hertz AC Resistance These apply to table on page 6-12
Multiplying factor For nonmetallic sheathed cables in air or nonmetallic conduit
The resistance values glven In the last three columns are applicable only t o d ~ r e ccurrent. t When conductors g on page 6-13 should be. larger than No. 410 are used wlth alternat~ngcurrent the m u l t ~ p l y ~ nfactors used to compensate for s k ~ neffect.
Size
I
Up to 3 AWG 2 I
1
Copper 1.
1:
I
1
Aluminum 1.
1:
For metallic sheathed cables or all cables in metallic raceways
1
1
Copper 1.
1::;
I
1
~
--
Aluminum 1.
1:
250 MCM 300 MCM 350 MCM 400 MCM 500 MCM
1.005 1.006 1.009 1.011 1.018
1.002 1.003 1.004 1.005 1.007
1.06 1.07 1.08 1.10 1.13
1.02 1.02 1.03 1.04 1.06
600 MCM 700 MCM 750 MCM 800 MCM
1.025 1.034 1.039 1.044
1.010 1.013 1.015 1.017
1.16 1.19 1.21 1.22
1.08 1.11 1.12 1.14
1000 MCM 1250 MCM 1500 MCM 1750 MCM 2000 MCM
1.067 1.102 1.142 1.185 1.233
1.026 1.040 1.058 1.079 1.100
1.30 1.41 1.53 1.67 1.82
1.19 1.27 1.36 1.46 1.56
Allowable Current-carrying Capacities (Amperes) of Insulated Copper Conductors
ELECTRICAL DATA
Not more than three conductors in raceway cable or direct burial (Based on ambient temprature of 30C (86F)
General Effect of Voltage and Frequency Variation on Induction Motor Characteristics*
Temperature rating of conductor
I
Types of insulation idI
v
Size AWG or MCM
RUW T TW UF
RH RHW RUH THW THWN XHHW USE
AVB TA, SA TBS RHH THHN XHHW
1000 1250 1500 1750 2000
455 495 520 545 560
545 590 625 650 665
585 645 700 735 775
AVA AVL
Al AIA
680
730
.,..
.... ....
785
....
840
.... ....
... .... .... .... ....
Correction factors for room temperatures over 30°C
Condensed from National Electrical Code-Tables
6-14
310-16 and 310-13
I
*The reference point for voltage variation and frequency variation of the power supply is understood t o be the rated voltage and frequency as given on the motor nameplate. This data show-sgeneral effect which will vary somewhat for specific ratings.
INGERSOLLRAND
ELECTRICAL DATA
CAMERON HYDRAULIC DATA -
-
Full-Load Speeds of Synchronous Motors
Allowable Variations from Rated Voltage and Frequency
Full-Load Speeds of Synchronous Motors No. of poles
Motors will operate successfully under the following conditions of voltage and frequency variations, but not necessarily in accordance with the standards established for operation a t normal rating. Where the variation in voltage does not exceed 10 percent above or below normal ( 6 percent for small power universal motors). Where the frequency variation does not exceed 5 percent above or below normal. Where the sum of the voltage and frequency variation does not exceed 10 percent (provided the variation in frequency does not exceed 5 percent) above or below normal ratings a s stamped on motor nameplate. The charts show the approximate effects of variations in voltage and frequency on motor characteristics. These values should in no way be considered as guarantees.
Induction motors will have full-load speeds of from 2 to 6% less than the above, average 4% less.
Motor Speeds
D-C Motors will have standard full-load speeds, when hot, of: 575, 850, 1150, 1750, and 3500 rev per min ( r p m )
AC-Motors. The synchronous speed of a-c motors is determined by the number of poles and frequency. Synchronous speed = P where f = frequency in Hertz ( H z )(cycles) p = number of poles of the motor
Hertz (Hz)
25
2 4 6 8 10 12 14 16 18 20
1500 750 500 375 300 250 214.3 187.5 166.6 150
30 1800 900 600 450 360 300 257 225 200 180
40 2400 1200 800 600 480 400 343 300 266.6 240
45 2700 1350 900 675 540 450 386 337.5 300 270
50 3000 1500 1000 750 600 500 428.6 375 333.3 300
60
100
3600 1800 1200 900 720 600 514.2 450 400 360
.... 3000 2000 1500 1200 1000 853.2 750 666.4 600
A t normal temperature, rated load and voltage the variation above or below the above full-load motor speeds may not exceed 7%% in motors up to 7% hp a t 1150 rpm, and 5% in motors larger than 7% hp a t 1150 rpm.
1
NEMA Motor Frame Dimensions (T/TS) (NEMA)
A (MAXI
0 (MAXI -
FRAME F l TO C L WIDTH INEMA) HEIGHT F T T O F l
x IMIN)
x (MAXI
J IMAXI
K
IMAXI
E
F
(NEMA) ----
1NEMAI
1
1
4 c ~ ~ G H T ~ N W u" ' s ES 1NEMAI IIMIN MAXI (MAXI IAVb) (NCMAI (NEMAI (NEMA) (NEMA)
-
LtNGTH SHAFl TO SHAFT TO FOOT FOOT L L MTR TO DlS BETN BOLT FOOT TOTAL F l T O F l F R O F F l B K O F F l WIDTH LENGTHBOLT-WDTH BOLT LGTH HOLEDIA TKNESS LtNbTH
-
LBS
-
bHA'l EXTN
SHAFT UIA
KEY WIDTH
KEY
11 FNGTH
'NOTES 11 All dlmenslons are for motors not motor wdeslals 21 All d~mensdonsare NEMA canlralled except J K G 8 C These four dtmenslans are complied from vendor dkmens~onsheets 31 Nob that x and x i b are calculated from NEMA domenslons 4) The 447T8TS and 449TBTS are not dlmensloned !n NEMA Spec The dnrnensnans for these frames are compnled from vendor dlmenslan sheets Always ventyd~mens~onsforthese frames 51 In four cases length of foal for celtaln manufacturer s motorsare greater than above 2137-8 8 0 2547 8-1 1 3 444T 8 44475 8-18 6 But all fool lengths are lessthan B (MAX) + 1 whlch asthe mcnlmum length of a motor pedestal spad Alsothe bolt hole lacal#on 2F alwaysequals above NEMAd~mens~ans
HOLES) U
KEYWAY
--
+ I
I
1
INGERSOLLRAND
CAMERON HYDRAULIC DATA
ELECTRICAL DATA
INGERSOLLRAND
CAMERON HYDRAULIC DATA
H.I. -NEMA Type C Face-Mounted Motors Standard Dimensions
ELECTRICAL DATA Dimensions (Type C, JM and JP Motor Shafts)
The following dimensions were developed jointly by NEMA and the the Hydraulic Institute and are the same a s those given in NEMA Standard MG1-18.615.
q-8'
NO'
-
NO
I
NO
NO
I N O
I
'
I
I NO
;8%-H$~]88
NO
:P8 1
I
I
OPEN DRIP PROOF FRAME SELECTIONS
/
-
3fi00 RPM
IIP
-
1800
HPM
;It
1/32 R. MAX.
L 4-BF HOLES 90 " APART
I,,,
,/,,", ,,,,,, ,,.,,,,.,, ,,,lll,ll,,li, , ,8 , . ,,,, ,,,, ,,, , I , , , , I I , , ,,,,,l , ,,,,,,,,,,,,
ll,,lY ,,1/,1,,1,
,,,,,,,,,,1,
1
1,1
(addit~onaldata on following page)
I,,,,
Dimensions (HP-HPH) All d~mens~ons In ~nchesThe above are Integral-horsepower A-C Squirrel-cage lnduct~onMotors for Process and In-llne Pump Applications
182HPand 184HP
364HP and 365HP 404HPand405HP'
14750
13505
0 2 5 1650
13505
0 2 5 1650
4
069
444HPand445HP
14750
16250
450
21250
450
1 6245
13500 13 500
'These frames have the follow~naalternate dimensions
4
069
2 1240
4562
2250
4562
2250
4 438 4 438
1250
1 4 1 6 1 401
303
0377 0375
975
1250
1750
1845-1 830
303
0502-0500
1350
1700
1245 1 745
INGERSOLLRAND
CAMERON HYDRAULIC DATA
BF-4 HOLES 90" APART 7
TOLERANCES +.oooo -.0005
UP TO 1.625 DIA
+
LESS THAN 12 000
+ 005 000
12 000 AND LARGER
A +
OVER 1.625 DIA
MAXIMUM FACE RUNOUT 004 1 'I MAXIMUM LCCLNTRlCiTI OF MOllNTlYG I A B B L T 004 I I II MAXIMUM S ~ , ~ ~ R U N U U 001 T TIP
Standard Dimensions For NEMA Vertical lnline Motor Shaft Extensions (P-Base Construction)
284LPH-286LPH 324LP-326LP 364LP-365LP
2.125
4.00
1.750
4.500
2.250 14.75 13.500
.25
16.50
.69 3.75 .50
1.845
2.625
4.50
2.250
5.000
2.750 14.75 13.500
.25
2204%
.69 4.00 .62
2.275
404LP-405LP 444LP-445LP Special Drivers
NOTES 1. Motor shall be vertical P-Base construction specifically designed for in-line pump application. 2. Shaft axial end play of shaft is 2 mills max under 50 pounds reversing static load with motor in a horizontal position at ambient temp. 3. Total Axial Shaft movement to be -C5 mils when subjected to rated thrust load. 4. Motor balance as defined by NEMA shall be 1.0 mil (Peak to Peak). 5. Nameplates shall be stainless steel (300 series stainless). 6. Radial displacement at end of motor shaft is ,001 in. max at ambient temperature with zero axial load and a 25 pound force applied at the pump end of motor shaft.
7
1
-
\
/
SECTION VII
-
CAST IRON AND STEEL PIPE FLANGES AND FLANGE FllTlNGS
-
1
LLRAND-
CAMERON HYDRAULIC DATA
INGERSOLLRAND
CONTENTS OF SECTION 7
Approx. Weights-Cast
Cast Iron and Steel Pipe Flanges and Flange Fittings Page Weights of Flanged Cast-Iron Pipe
. . . . .
....
Dimensions of Cast-Iron Flanges Pressure-Temperature Ratings
. . . . . . . . . . . . . . . . . . . . . . .
7-5
. . . . .
Dimensions of Steel Pipe Flanges . . .
Flange Ratings- 400 lb.
.
.
....
. . . . . . . .
. . . . . . . . .
. . . . . . . .
. . . . . . .
. . . . . . . . . .
. . . . . . . . .
....
...
Flange Ratings -900 1b.
.
. . . . . .
Flange Ratings- 1500 lb. .
.
.
.
. .
. . . . . . .
.....
7-6
. . . . . 7-7
.......
. . ...
7-16
....
.
7-17
. . . .
7-18
....
. . . . . . ..
. . . . . . . . . .
. . . . . . . . . .
.
. . . . . 7-13 thru 7-15
. . . . . . . .
. . . . . . . .
....
. 7-8 thru 7-12
. . . . . . . . . . . . . . . . . . . . . .
Flange Ratings- 600 lb. . . . . . . .
Flange Ratings- 2500 lb.
. . . . .
.......
Dimensions and Weights of Steel Pipe . . .
Flange Ratings-300 lb. . . . .
. . . . . 7-3
7-4
Dimensions of Cast-Iron Flanged Fittings
Flange Ratings- 150 lb.
. . . . . . . .
. . . . .
Weights of Flanged Cast-Iron Fittings . . . . .
CAST IRONAND STEEL PIPE FLANGES AND FLANGE FITTINGS
... ..
. . . .. . .
. . . . . . . . . . . . . . . . . . . . . . .
.
. 7-19
. . .
7-20
. . . 7-21
. . . .
7-22
Iron Flanged Pipe
INGERSOLLRAND
CAMERON HYDRAULIC DATA
CAST IRONAND STEEL PIPE FLANGES AND FLANGE FITTINGS
Approximate Weights 125 Ib Standard Cast lron Flanged Fittings
Dimensions of Cast lron Pipe Flanges
All weights given in pounds
American National Standard dimensions in inches
6
25 b flanges have 45 p s ~non-shock pressure ratlng in 4 to 36 slzes and 25 Ib In 42-96 s z e s u p to 150 F 125 Ib flanges (Class BI have non-shock w o r k ~ n gpressure rating o: 200 p s In 1 to 12 slzes 150 psi n 14 to 48 s u e s u p to 150 F From A m e r c a n N a t o n a l Standard-ANSI B 16 1 - 1975
CAST IRONAND STEEL PIPE FLANGES AND FLANGE FITTINGS
Dimensions of Cast lron Pipe Flanges (Continued) American National Standard dimensions in inches
Dimensions of Cast lron Flanged Fittings 25 Ib and 125 Ib American National Standard dimensions i n inches
45" Lateralst
250 b flanges (Class BI have non-shock pressure ratlng o f 500 p s ~n 1 to 12 slzes 300 p s ~n 14 t o 48 up to 150 F 800 Ib flanges have non-shock hydraulc pressure r a t n g (not steam) of 800 p s up to 150 F Amer~canNatonal Standard-ANSI B 16 1-1975
sizes
Pressure-Temperature
250 lb 800Ib
125 Ib 25 l b ASTM A126 Class A Temperatureof 20 to 150 200 225 250 275 300 325 350 375 400-
Class A
Ratings
ASTM A126
ASTM A126 Class B
Class A
Sfzes 4-36
Sizes 42-96
S~zes 1-12
S~zes 14-24
S~zes 30-48
45 40 35 30 25
25 25 25 25 25
175 165 155 150 145 140 130 125
150 135 130 125 120 110 105 100
150 115 100 85 65 50
S~zes 1-12 400 370 355 340 325 310 295 280 265 250
-
Class B
ASTM A126 Class B
Sizes 14-24
Slzes 30-48
Slzes 2-12
300 280 270 260 250 240 230 220 210 200
300 250 225 200 175 150 125 100
800
All pressure ratlngs g v e n n PSlG Allowable pressures may be nterpolated between temperatures ' 353 F (Max) to reflect tPe temperature of saturated steam at 125 p s g 406 F (Max] to reflect the temperature of saturated steam at 250 pslg
Llmltations: 25 Ib: When 25 Ib cast iron flanges and flanged f t l n g s are used for gaseous servce the maxlmum pressure shall be l ~ m ~ t etod 25 pslg Tabulated pressure-temperature r a t n g s above 25 pslg for 25 i b cast lron flanges and flanged f i l t ~ n g sare applcable for non-shock hydraulic service only 250 Ib: When used for liquid servlce the tabulated pressure-temperature r a t n g s ~n slzes 14 In and large' are applcable l o 250 l b flanges only and not to 250 Ib f t t ~ n g s 800 Ib: The tabulated r a t ~ n gI S nor a steam raring and applles to non-shock nydraulc pressure only From ANSI B 16 1
I I 1 I I I I ' No 25 Ib fitt~ngs1" to 3t/2".-54, 60 and 7 2 f~ttingsare 25 Ib only. t No lateral fittings are listed in 25 Ib standard American Nat~onalStandardANSI B 16.1 -1975. $ Typical-not l~stedin ANSI standards.
Welded and Seamless Wrought Steel Pipe
-1
m
Selected from ANSl B 36 1
0 1975
5t.t
rwti 5 page 7 19
Welded and Seamless Wrought Steel Pipe Length of plpe per sq 11 of surface area
Circumference
Dlameler
S~ze
J;
w
Schedule no
Extprnal
Internal
Thtck~ ness
lnches
lnches
lnches
External
Selected from ANSI B 36 10 - 1975 See notes page 7 ~ 1 9
~nches
Internal surface
Welghl per 11 of length
Allowable workng pressure at100F'
feet
Ibs
lblsq ~n
Transverse area
Internal
External
Internal
External surface
lnches
sq in
sq ~n
feet
Water hammer tactor
INGERSOLLRAND
CAST IRONAND STEEL PIPE FLANGES AND FLANGE FITTINGS
CAMERON HYDRAULIC DATA
Welded and Seamless Wrought Steel Pipe (Continued) bE;
zE m m .z -z
o o c -
$40;
-
e e m e m ~ m n e
2
g2
a,
83'
~ C W N N ~ O N ~ P . P .
- - w q m m ~ m m - -
:::;::;:::;:::;:::::;g::;:;
;
Welded and Seamless Wrought Steel Pipe (Continued)
~
1
-----
~ o e m w ~ . m o ~= v + m w ~ - m o ~ oo ewm w h m o o m c m - 7 - -
&< -
%$
~
~
~
~
~
~
:a a -s- -eN zN aO Oa z : x z x- -e- -~NzNzOa? = a : z z s g q ~ g g ~ g
mu
L m
o m m e e e m m h m o I ~ ; ; ~~ ~ y y z ~ mmr.r.hmmo-~o
42
.z
F'zzs
a $zagagzs NNNNNNNoO
oh-,,,-h,
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12'
n'.DI.C-l-..c
C.,Tcn?., mCSC cnc- v w - n - n n - n r ? . r 3 = ~ 0 \
FC--O+.C. >. h w - - a x - 7 3 -
"?";Z&jl?i . l g?'"">Jii: ----- -C.\nO
: ? -?- -~& ~h i P. B $7~ z D
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mmmmmmmmmmm
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2
5-
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5:
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W "
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%m 5s u E
?m
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-
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m ;
+
$
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k-kkkkkkkkk
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w o o r n ~ m - - w m ~e ~ m m ~ ~ ~ mm-me-m-hmo - m m N h m h f h m O
::1z,2z:s
"s"zgg&gggg
mwmmwmmmm
mmmmmnmmmmm e v w e e e e v e e e w w w w m ~ m m w m w mmmmmmmmmmm
P . + P . ~ ~ P . ~ - C
-------
m
h
h
-
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----------
2o:gzznzoas
,g g mO mOmom~m 0a m0 0 h- h- h-h-h-h-h-h-h -P -. CNNNNNYNNNNN
-----------
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mmm-mmmmmmm
-
; , ?
: z $ g z a $ ~ ~:gnqzgce:g; *- ; 5 U
5: -
5
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;gggzg:g;c?
N--OOmmha 0 0 7 0 0 N N N N
mhhP.wwmemNNN--OOmmP.wm o o o 0 m ~ 0 0 0 0 0. , e e v w 9 0 0 0 0 0
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2 2"esSX:Z
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5'
hP.hhhhhhhh NNNNNNNNNN
q
q
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Z
mmmmmmmmmmmm mmmmmmmmmmmm
q XsXXslXiXiX
I
0000000000
mmmmmmmmmm
2z222g2ggg
lm
O O ~ O ~ * N O OOWC D O ~ O N O ~ O O ~
zgga?g:g2q:
Z:%:~z~~~q2
----------- - - - - - - - - - - -
z ~ z m m m m ~ N mNN-----000
- n o ; ; = z ; z
O
1 11 -
3
O
0
"7
-
h N
N
o 0 0 0 0 ~ h ~ - - -
s2
I
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I
I
Welded and Seamless Wrought Steel Pipe
I Size
1
II 1 - 1t
~ c t ~ e d ~lle no
I
I
'tk: lnches
1
~nches
1
rnches
1
I C~rcurnlerence ~xternal
/
nches
1
1
I
lnches
e
I
Transverse area a
l e a l
1
SO
~n
Internal 30
in
1
Lenqth o l p f p e per sq 11 ot surface area External surface
I
feel
1 1
Internal surtace feet
/
1 1
Weignt ~ e r 11 of Ibs
1/
mmwmPw0 0 0 0 0 0 m
0000000
1
W N N - - - -
N N N A - - -
-mmmmmNOONNON
UNNPPWO mmmPP-0
NNN----
UNNPPWO mmmPP-0
0000000
WmamPW000000" OOOOOOC
---A--O ~ m m w rwnoooooomh l
W N N N N N N
NNNNNN-
-UUNNNO Nmmmmmm
m w w o o o m mmmmmmm
b sa ~n
5
'y
m
I
I N - INmmam+w0 0 0 0 0 0 m
I
~rrcsrire 1 0 0 ~
5elecled from ANSI B 36 1 0 1975 X Extra strong XX Double extra strong S Standard Allowable worklnq pressures based on Grade B pipe l e n s ~ l estrength 60 000 psl 35000 psl ybeld polnt Allowable w o r k ~ n gpressures at 400 F are 86 3"" of those at 100 F Allowable worklng pressures of Grade A ptpe al 100 F are 8 0 " ~o f Grade B plpe at 100 F Water hammer factors should be used l o reduce allowablp w o r k ~ n gpressure by the amount of flow n gal p r r
N2
Allowable
(P ~d1.r hammer
P
INGERSOLLRAND
CAMERON HYDRAULIC DATA
Steel Pipe Flanges
CAST IRONAND STEEL PIPE FLANGESAND FLANGE FITTINGS
American National Standard (cont.)
Steel Pipe Flanges
Length thru hub In Nom~nal pipe size
Outs~de
Flanae thlcc-
1 1 1 1 z r1 l
a
f )
Threaded
welding
1
Lapped
I
Wneck eld~ng
Nom~nal
American National Standard (cont.) Length thru hub In
PIP^
Flange ratlng
sue
DSI
Outs~de flanage d~a ~n
Flange thck ness (mln) ~n
D~arneter bolt c~rcle
Threaded sl~p-on socket weldlna
Lapped
Weld~ng neck
From ANSl B 16 5 Sllp-on w e l d ~ n gnot In 2500 Ib ratlng and only In 1% to 2'4 slzes for 1500 b ratlng and 1% to 3 In sues for 150 l b ratlng Socket w e l d ~ n anot n 400 900 and 2500 Ib ratlnqs and only In 1'2 to 2II2 ssles for 1500 l b ratlng and 'h to 3 slzes In 300 Ib rn tig Threaded In 1500 Ib r a t ~ n gfrom 1,2 to 12 In slzes only
From ANSl 8 16 5 Sltp-on weldtng not n 2500 Ib ratlng and only n 1'4 to 2'12 slzes for 1500 Ib rallng and 11/2 to 3 In sues f o r 150 Ib r a t ~ n a Socket weld~Ggnot In 400 900 and 2500 Ib ratlngs and only ~n 'I2 to 21 ' 2 slzes f o r 1500 Ib r a t ~ n gand 1 2 to 3 slzes In 300 Ib r a t ~ n g Threaded In 1500 b r a t ~ n gfrom 'I2 to 12 In slzes only
Flange Ratings-150 Ib. Table G-150 PN20 Pressure-TemperatureRatings Gage pressures in bar
1 Bar
c
1 4 5 p s I (pressure) F-32) (temperature)
o 5556 (
Flange Ratings-300 Ib. Table G-300 PN50 Pressure-Temperature Ratings Gage pressures in bar
_Allays ~
Fe $
Carbon 400 Alloy 405 600 414497 4 0 3 4 8 7 36 1 46 1 3 3 6 4 4 0
Temp C
U 1The9~ ratlng? are at 540 'C max
I
L
service temperature
NOTES' 1 Ratings shown apply la other malerlal groups where column dlv~d~ng lhnes have been omltt~d 2 Provls!ons of Sectlo" 2 apply to all ratings 3 S r r Temperature Notes far all Mater~alGroups
1 Bar C
14 5 p s l (pressure) 0 5556 1 F 3 2 ) (temperature1
~ Cr ~
Mo ~
Alloy Alloy
800 497 4 8 8 454 4 3 0
I32
I kelI Temper N t At loys
ature
517
38
517 51 5 SO2
50 100 150
c
-
~
Flange Ratings-400 Ib. Table G-400 PN68 Pressure-TemperatureRatings Gage pressures in bar
E -l l ~ r -o 1 r1 1 1 2 1 1 7 1 1 4 Malerl~ls Carbon
17
I 5
19
110
113
114
21
22
23
24
25
27-31 Cr
26
Fe
Mo 2CrType 1 Cu 304L 1 'nMo Types N l C r 1'1Cr 2'dCr 5Cr 9Cr Type Type Type Type 347 Type Type Cb '2Mo Ma h M o 1Mo IiMn 1Ma 304 316 316L 321 348 309 310 20Cb 552 618 662662551 662662 690 567 6 3 8 6 9 0 6 9 0 6 9 0 543 604 638642533640645 690 556635690682683 552 508 545 563 460 553 580 687 515 621 687 650 654 480 522 484 5 1 3 4 1 6 5 0 0 5 4 0 669 503 599669618622 C
Temp C 291038 50 100 150
681690 668690 618687 601669
638 631 601 586
200 250 300 350
584 650 556618 516 566 493536
569 541 503 480
488 463 431 412
J75 400 425 450
48 6 51 1 460460 383 383 26 1 2 6 7
47 1 432 36 4 26 4
41 2 404 34 4 26 1
475 500 525 550
18 1 11 7 69 43t
-
51 7 48 8 468
650 618
460 4 6 8 419 451
201 2 5 1 2 7 0 2 9 2 2 0 6 3 0 1 1 4 3 t 186 170 2 1 8 156 226 166
575 600 625 650 675
606 598 593 590 56 6 53 6
650 618
589 574 560
3
2
113 78 45 4 3
156 102 88 ~
117 87 60 ~
437 407 387 374
476 445 422 406
383 356 337 321
458 427 407 391
512 483 459 439
493 468 446 426
370 366 362 358
396 388 382 374
315 309 303 297
386 382 380 376
429 424 420 410
418 410 400 392
80 62 49 37 27
34- 35
N, Cu Cr Nickel Alloys Fe 400 Alloy Alloy 200 405 600 331 552662 331 537649 481 6 1 4 331 447587 331 NI
331 33 1 731
440 43 7 437 43 7
567 549 532 51 7
36
37
38
NI
Fe NI Nlc Cr Mo kel Ternpcr ature Alloy Alloy A1 82 loys C 800 38 690 662 50 690 650 100 687 605 150 573 669 553 53 5 529 52 2
437509514 48 8 43 0 46 8 42 2
650 61 8 566 53 6
200 250 300 350
517
375 400 425 450
z;:
:;: i??
475 500 595 550
344344338344 333 333 291 315
318344 291 333
150 268 321 9 6 223 286 6 6 174 7 4 7 4 9 ~ 103 168
700 725 750 775 800
32
304 264 211 1 ~6 6 131 1 0 2 83 64 50 40
133 103 78 61 47
321 286 237 1~5 4 115
248 194 152 1 0~7 93
293 258 222 188 151
575 600 625 650 675
90 70 54 42 35
75 58 45 34 26
116 82 58 42 29
700 725 750 775 800
t T h e ~ erallngs arc at 540 C max servlce temperature NOTES .-
1 Rat~ngsshown aclf,lyla other materlal qroups where column dlvldlng llnesare ornlned 2 Prons~onsof Sectlo" 2 apply to all rallngs 3 See Temperature Notes fur 1 1 1 Malertal Groups 1 Bar
C
14 5 p s 8 lprrssurcl 0 5556 ( F 32) (ternperntrlrr!
-
Flange Ratings-600 Ib.
TableG-600 PNlOO Pressure-TemperatureRatings Gage pressures in bar ---
Marl Grorrp Mat~r~a~s Carbon
Type 304 993 957 818 72 7
lype lype lype 316 316L 321 993 827 993 963 799 960 844 690 830 77 0 62 5 75 0
341 348 993 968 869 81 0
655 611 581 561
713 668 633 608
768 724 689 658
NOTES: 1 Halln~s shown apply 10 other maler~algroups wherecolumn dtvbdlng hnes are omllted 2 P r o v l s l o n ~of Scctlon 2 apply l o all ratings 3 See Temperature Notes for all Matertal Groups 1 Bar
C
14 5 p il (p!?ssnr~.l 0 5556 I ' F 32) (temperature)
574 534 505 481
687 641 611 587
lype 309
:
Typ~ 310 20Cb 82 8 814 76 2 721
669 639
N k Alloy 200 49 7 497 49 7 497
1 1 !lays1
:
N, Nlc MO kel Temper 400 Alloy Alloy Alloy A1 ature 405 600 800 B2 "C 82 8 9 9 3 99 3 103 4 38 8 0 6 974 976 1034 50 72 1 92 1 90 7 1031 100 671 880 860 1004 1SU
Flange Ratings-900 Ib. Table G-900 W 1 5 0 Pressure-Temperature Ratings Gage pressures in bar
NOTES 1 Rat~ngsshown apply to other mater~algroups where column dlvidlng llnes are omlned 2 Prov~s~ons of Sectton 2 apply l o all rallngs 3 See Temperature Notes for all MaterialGroups
1 Bar C
14 5 p s I (pressure) 0 5556 ( F 321 (temperature1
Flange Ratings-1500 Ib. Table G-1500 PN250 PressureTernperature Ratings Gage pressuresin bar
NOTES I Ratings shown apply to other mater~algroups where column dlvldlnq lhnesare omlned 2 Provrs~ons of Sect~on2 apply to all ratings 3 See Trmp~ratureNates for all Material Groups
1 Bar C
14 5 p s I (pressure) 0 5556 1 F 321 ltemperaturel
.
1
A
/
9
SECTION Vlll
-
MISCELLANEOUS DATA
-
INGERSOLLRAND
MISCELLANEOUS
CAMERON HYDRAULIC DATA
Decimal and Millimeter Equivalents
1 1 q;:. 1 Fract~on
Dec~mal equlvalent
of tractional inches
1 1 e?qL:iFract~on
Dec~mal equlva lent
of tractlonal lnches
CONTENTS OF SECTION 8 Miscellaneous Data Decimal and Millimeter Equivalents
. . . . . . . . . . . . . . . . . . . .
Page . 8-3
Arithmetical and Geometrical Formulas . . . . . . . . . . . . . . . . . . 8-3 Approximate Altitude and Barometer Reading
. . . . . . . . . . . . .
8-4
Barometer Reading Corrections . . . . . . . . . . . . . . . . . . . . . 8-5 to 8-9 Weight and Dimensions of Copper Tubing and Pipe
. . . . . . . . .
8-10
Volume in Partially Filled Horizontal Tanks
. . . . . . . . . . . . . . 8-11 Capacities of Cylinders and Tanks . . . . . . . . . . . . . . . . . . . . . . 8-12
Displacement Per Stroke of Plungers
8-13 Areas of Circles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8-14 Hardness Conversion n b l e
. . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . 8-15
Use of Gages and U Tubes . . . . . . . . . . . . . . . . . . . . . . . 8-16 to 8-20 Pump Data Sheet for Material Selection Pump Materials
. . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . .
8-21
8-22 thru 8-28
Arithmetical and Geometrical Formulas : Circumference of Circle = 3.1416 x dia = 6.2832 x radius Area of Circle = ,7854 x (dial2 = 3.1416 x (radiusI2 Area of Sphere = 3.1416 x (dial2 Volume of Sphere = 0.5236 x (dial3 Area of triangle = 0.5 x base x height Area of a trapezoid = 0.5 x sum of the two parallel sides x height Area of a square, a rectangle or parallelogram = base x height Volume of a pyramid = area of base x 1.3 height Volume of a cone = 0.2618 x (dia of baseI2 x height Volume of a cylinder = 0.7854 x height x dia2
MISCELLANEOUS
INGERSOLLRAND CAMERON HYDRAULIC DATA
Barometer Corrections
Approximate Atmospheric Pressures and Barometer Readings at Different Altitudes
Miscellaneous Mm of mercury
Atmospheric pressure Ibiin2
Equivalent head of water (75'F) Feet
787.9 773.9 760.0 746.3 733.1
15.2 15.0 14.7 14.4 14.2
35.2 34.7 34.0 33.4 32.8
Barometer Alt~tude Feet
Meters
Inches of mercury
-1000 -500 0 500 1000
-304.8 -152.4 0 152.4 304.8
31.02 30.47 29.921 29.38 28.86
Boiling point of water "F
"C
213.8 212.9 212.0 211.1 210.2
101.0 100.5 100.0 99.5 99.0
i
Other barometer corrections include those for latitude, altitude and difference in elevation between barometer and datum plane. These are given on the following page. Table I , 111. IV and V apply to mercurial barometers. Table V applies to aneroid barometers. Table I1 applies to small-bore, single-tube mercury columns. U-tubes and manometers, in which both legs have approximately the same bore, and lal-ge-bore, single-tube columns do not require capillarity correction. The temperature correction from Table I applies to any mercury colunin when brass scales calibrated in inches a t 62°F and a density factor for mercury based on 32°F are used. Tables I11 and I V apply to all mercury columns in which a density factor based on 45" latitude and sea level altitude is used. The corrections are small and are usually ignored or taken into account by uslng a density factor based on the latitude and altitude of the datum point. In general, aneroid barometers a r e not satisfactory for accurate testing. If one is used, it should be compensated for temperature and frequently calibrated against a standard mercurial barometer, as a violent knock or shaking may introduce a substantial error.
Example of use of Tables 111, IV and V. Assume a barometer reading of 20.013" Hg a t 70°F'. 1000 ft altitude, 45" latitude a n d 30 ft above t h e datum plane for which a reading is desired. Barometer reading . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29.013" Latitude correction (Table 111) . . . . . . . . . . . . . . . . . . . . . . . . . . . - .048" Altitude correction (Table IV) . . . . . . . . . . . . . . . . . . . . . . . . . . . . - .002" Elevation correction (Table V) ( . 3 x .102) . . . . . . . . . . . . . . . . . + .031" Temperature correction (Table I) . . . . . . . . . . . . . . . . . . . . . . . . . - ,019" Corrected barometer (to 3TF, 970 ft altitude, and 45" latitude) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28.885"
Temp hg co1
F
Correction for Relative Expansion of Mercury and Brass Scale to 32°F Standard
Correction of Small Bore Single-tube Mercury Columns for Capillarity
Table I
Table II
Observed i e a d ~ n gof the barometer In lnches
25
I
MISCELLANEOUS
CAMERON HYDRAULIC DATA
INGERSOLLUAND
25 5
26
26 5
27
27 5
28
28 5
29
29 5
C o r r e c t o n to be subtracted from oaserved readlng
Helght of men~scus-~nches 30
1
30 5
31 0
ID tube lnches
.01
.02
03
04
.05
.06
.08
07
Correction to be added to hg column read~ng-lnches
(From Smithson~anPhyslcal Tables-1933)
Explanation of Correction Tables for Mercurial Barometers Table I-Examples
of use
Reading of barometer a t 75°F . . . . . . . . . . . . . . . . . . . . . . . . . . . 29.964" Temperature correction (Table I) . . . . . . . . . . . . . . . . . . . . . . . . - . 126" Barometer corrected to 32°F . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29.838" Reading of Mercury column a t 97°F . . . . . . . . . . . . . . . . . . . . . . 28.120" Temperature correction (Table I) . . . . . . . . . . . . . . . . . . . . . . . . - . 173" Vacuum corrected to 32°F. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27.947" Absolute pressure (29.838 - 27.947) . . . . . . . . . . . . . . . . . . . . . .
Table 11-Example
Condensed frorr c r c u l a r F U S W e a t i e r B ~ , e a u
1.891"
of ITse
Suppose above mercury column had a single tube of 51:32' bore and the estimated height of meniscus was .03" Correction for capillarlty (Table 11) . . . . . . . . . . . . . . . . . . . . . .
1
.102"
Vacuum corrected for capillarity (27.947 + ,102) . . . . . . . . . . . 28.049" Absolute pressure (29.838 - 28.049) . . . . . . . . . . . . . . . . . . . . . . 1.73Y1' NOTE:-Xl\vays read the top of the meniscus and arid the capillarity correction to this vacuum column reading. There is no correction on double tube mercury columns or manometer?. 8-7
INGERSOLLRAND
CAMERON HYDRAULIC DATA
MISCELLANEOUS
Correction of Mercurial Barometer for Latitude in Inches Hg to Reduce to 45' Latitude
Correction of Mercurial Barometer for Altitude
To be added to barometer reading for latitudes above 4 5 . To be subtracted from barometer reading for latitudes below 45
Table IV
Inches Hg to be subtracted from barometer reading
Table Ill R e a d n g o f tile barometer n n c n e s
Alt~tude ft
Read~ngof barometer, ~nches
. 26
25
30
29
28
27
,
1
31
Elevation Correction for Barometer In inches Hg per 100 ft difference i n elevation. To be added to barometer reading when barometer is above datum plane. To be subtracted from barometer reading when barometer is below datum plane. Table V Temperature. "F Alt~tude ft
0
10
20
30
40
50
60
70
80
90
INGERSOLLRAND CAMERON HYDRAULIC DATA Weights and Dimensions of Copper and Brass Pipe and Tubes
MISCELLANEOUS Volume of Horizontal Tanks in Gallons per Foot of Length
Copper t u b ~ n g Copper and brass p l p e Regular fit Type K
Type
L
Type M Welghf per It Ib
Nom ~nal slze n
In Out slde slde d ~ a m diam in in
Wt per ft Ib
In Side dlarn in
Wt per ft Ib
In side dlarn in
Wt per 11 lb
Out side dlarn In
In side dam in
405 540 675 840
281 375 494 625
67'0
85".
100°c
Cop per
Copper
Copper
250 375 500 625 750 875
186 311 402 527 652 745
085 134 269 344 418 641
200 315 430 545 666 785
068 126 198 284 362 454
20 325 450 569 690 811
068 106 144 203 263 328
1050
822
124
127
130
1
1 125
4
1375 1625 2125 2625
995 1245 1481 1959 2 435
839 104 136 206 292
1 025 1 265 1505 1985 2 465
653 882 114 175 2 48
1055 1291 1571 2009 2 495
464 681 940 146 2 03
1315 1660 1900 2375 2875
1062 1368 1600 2062 2 500
174 2 56 304 402 5 83
1 79 2 63 313 414 6 00
183 2 69 320 423 6 14
3 3'2 4 4' 2
3 125 3625 4125
2 907 3385 3857
4 00 512 651
2 945 3425 3905
3 33 429 538
2 981 3459 3935
2 68 358 466
3 500 4000 4500 5000
3 062 3500 4000 4500
8 31 1085 1229 1374
8 56 1111266 1415
8 75 1141 1294 1446
5 6
5 125 6125
4 805 5741
967 1387
4 875 5845
7 61 1020
4 907 5881
6 66 891
8 125
7 583
2590
7 725
19 29
7 785
16 46
5 563 6625 7 625 8625
1 5 40 1844 23 92 3005
15 85 1399 24 6 3 3095
16 21 1941 25 17 31 6 3
'6
' r 48
' z '8
1'2 2 2'2
7
8
1
5 063 6125 7 062 8 000
246 437 612 91 1
I
253 450 630 938
259 460 643 957
Volume ln tank (gals)' Cos H
=
2(0 5
-
-
7 4805
portlon f l l e d ) D
.
-D- H &(st"
-
720
-
2
"1 ( 0 5
-
portlon rllled)'
tank d a (fll vol of full tank (gals)
' Applies to tanks up to 50". illled When tank f r o m full tank
IS
i'
-
lengln
7 4805&
$1"
8,
\ 1
cos+#
' length
over 50'0 fllled calculate p o r t o n r o t Illled and subtract
MISCELLANEOUS
INGERSOLLRAND CAMERON HYDRAULIC DATA and Tanks
Capacities-Cylinders
1
"i Z 1
z
e w e a m m m o O
N
--
~
O
oom
$
I
- N n e m
w c m m o N
---
N
~
~
N
~
-
o - ~ m m
b
m m w m e N - m m o - m v r -
0 0 - n m
U
Z
N
~
- - N N N
1
0 N 0 0 m o o w n o me
N
m o m e w - W O W N - - N N D
o m ~ o wN m w m g 0 o u w m o n o m a r m m o z o
- O N - U o w m o m
W 0 W 0 e e - m w u n e e m w
~
o
~
r-oowo - - - N
~
N
O
O
m m m o w e m w m m
1
m w e w e o o e m - o w N
~
O W
N
p ~ m g aR & $ R R
oar-ON r-0--m 0 - o w 0 eoa-o -
O O O O -
N
O
*
-----
e m ~ b 0 - n o w
mW.3 N
-
N
/
~
no m w m m a m - o m - 7 N N N
~
W~ ~ O U
w r - o n e ~ ~ N N N n D O
e m o r n u
- ~ W - - J
q z c z ~
_ - w~- m-n -m- o-wm-r -
b m m o -
U
1
o o o m w oo ~ m w o - o m m m m m m w b m m m o - N
N
N
O
~
e m 0 0 2 m m m o o m a m -
/
W
m m o - o n v w r - m -
7
-
7
sr-on+
~
h
~
- - N N F 0 0 0 0 0
1
/
- m r -e r - h m v v m w r . O O O O C
h m o n m m m - c v ~
o m b a w n v w m o N N N N O
/
-
7
-
0 0 - 7 -
- ----- ----"
w b m m o
-,,em
a c m m o
O ~ O W N
1
m w m m - - - - N -,,em ""NN"
gg:
m ~ -r-W N
V
~
1
w r - m m o " " " N o
m
N
~ $ 2
I I m w o o o w N N N
m m m b m ~ o w- + N N N O O O P - m
v m ~ r - n o m w n m m m - 1 m - O ~ W - - N N N -
W
a00
m o o n m e o r m ~ Ne m N mO o r- - N oN N
7
O -
- m o m
I
~
mm wma w m e wr-m
g;$zz
I
-,,em
N
om"
NOW
~ r - ~ ~ mm m m m N w mO m = ~
- - - N N
0 0 0 0 0 0 0 0
E'
1 1
~ w ~ v r - - o m qv e m m m
- 7 -
-
w r - m m o " N N N "
wr-m-m or-eon v w o e o m m N N m hO m ~ u h m ~ m m - ~ m r m N O O - - - N N N N O O f e f m m aP-S
W W m ~ ~
~b
m
RPIRI
O
O ~ W N N
-
NLONVW N
1
m e w a m m - e h o ~ m n o
a m - m w m - n w
- 7 -
W
~ W W 0 - 0 - 0
O
- N o v m " N N N N
N
O N - - O
O
1
Stroke lengths in inches
w e e m o o o o w o o m 0 ~ m m mN ~ O 0 O m ~mW- ~ e h ~e 0 Om
O O W N
1
- N m o m
w o w m ~m a O N ~ o- N v Om w rm. n m 0- ~meh
W
w e w w
z
1
.- - - - - - ----
w c m m o
Displacement per Stroke-In U.S. Gallons For Various Diameter Plungers
m e m n D O -
1 / N q w onn
Plunger diam in lnches
1
1
2
2'2
3
32
4
8125 875 9375 1000 1 0625
00224 00261 00299 00340 00383
00336 00392 00448 00510 00574
00448 00522 00598 00680 00770
00560 00652 00748 00850 00959
00672 00783 00897 01020 01151
00785 00914 01046 01190 01343
00896 01044 01196 01360 01535
01120 01305 01495 0170 01915
01345 01565 01795 0204 02298
01570 01830 02093 0238 02681
01792 02090 02329 0272 03064
1 125 11875 1250 13125 1 375
0043 004'9 00532 00586 00643
00645 00718 00797 00879 00965
0086 00957 0106 01172 0129
01076 01196 0133 01465 0161
0129 01435 0159 01758 0193
01506 01674 0186 02051 0225
01721 01916 0213 02344 0257
0215 02395 0266 02930 0322
0258 G2874 0319 03516 0386
0301 03353 0372 04102 0451
0344 03832 0425 04688 0514
14375 1 500 15625 1625 16875 1750
00703 00765 00830 00898 00968 01041
01054 01 148 01245 01348 01452 01561
01405 0153 01660 01798 01936 02082
01756 0191 02075 0225 02420 02610
02108 02295 02490 0270 02904 0312
02459 0268 02905 0314 03389 0364
02810 0306 03320 0360 03873 0417
03513 0383 04150 0450 04841 0521
04216 0458 04980 0538 05809 0624
04920 0536 05810 0628 06777 0728
05621 0612 06640 0718 07745 0832
18125 1875 10375 2000 20625
01117 01196 01276 01360 01446
01675 01794 01914 0241 02169
02234 0239 02552 0272 02892
02792 0299 03190 0340 03615
03351 0359 03828 0408 04338
03909 0418 04466 0477 05061
04468 0478 05104 0544 0578C
05585 0598 06380 0680 07230
06702 0718 07656 0817 08676
07819 0837 08932 0953 10122
08936 0957 10208 1088 11568
2 125 21875 2250 2 3125 2375
01536 01627 01720 01818 01917
0230 02440 0258 02727 0287
0307 03254 0344 03646 0383
0384 04067 0430 04545 0478
0461 04881 0516 05454 0575
0537 05694 0602 06363 0671
0614 06508 0688 07272 0767
0768 08135 0860 09090 0958
0922 09762 1033 10908 1148
1075 11389 1205 12726 1340
1228 13016 1376 14528 1532
2 500 2 625 2 750 2875 3 000
02125 02347 02573 0281C 0306C
0319 0352 0386 0421 0459
0425 0469 0514 0562 0612
0532 0587 0643 0702 0765
0637 0704 0772 0843 0918
0744 0822 0900 0983 1071
0850 0939 1029 1124 1224
1063 1173 1287 1405 1530
1274 1409 1544 1686 1836
1468 1643 1802 1967 2142
1700 1878 2058 2248 2448
3125 3 250 3375 3500 3625
03320 03590 03872 04165 04470
0498 0538 0581 0624 0670
0664 0718 0714 0833 0894
0830 0897 0968 1042 1117
0996 1077 1162 1249 1341
1162 1256 1355 1458 1565
1328 1436 1549 1666 1768
1660 1795 1936 2083 2235
1992 2154 2323 2499 2682
2324 2513 2710 2916 3129
2656 2872 3097 3332 3576
3 750 3875 4000 4125 4250
04780 05110 0542 0578 0614
0717 0766 0813 0867 0921
0956 1022 1084 1156 1228
1195 1277 1'360 1445 1535
1434 1533 1626 1734 1842
1673 1788 1897 2023 2149
1912 2044 2168 2312 2456
2390 2555 2710 2890 3070
2868 3066 3252 3468 3684
3346 3577 3794 4046 4298
3824 4088 4336 4624 4912
4375 4 500 4 625 4 750 4 875
06508 06885 07273 07672 0808
0976 1033 1091 1151 1212
1302 1378 1454 1534 1616
1627 1722 1818 1918 2020
1952 2066 2182 2302 2424
2278 2410 2543 2685 2828
2603 2755 2909 3069 3232
3254 3444 3636 3836 4040
3905 4131 4364 4603 4848
4556 4820 5091 5370 5656
5207 5508 5818 6138 6464
5000 5 250 5 500 5790 6 000
0850 09371 10286 11242 12241
1275 1405 13.2 1666 1836
1700 1871 2057 2248 2448
2125 2343 2571 2810 3061
2550 2811 3086 3372 3672
2975 3279 3600 3934 4284
3400 3748 4114 4496 4896
4250 4685 5143 5621 6121
5100 5622 6171 6745 7345
5950 6560 7200 7869 8569
680C 7497 8228 8993 9793
6 250 6500 6750 7000 7 250
13282 14366 15492 16660 17872
1992 2155 232A 2499 2681
2656 2873 3098 3333 3576
3321 3593 3873 4'66 4468
3984 4310 4647 4996 5361
4645 5028 5422 5631 6255
5313 5746 6197 6666 7148
6641 7183 7746 8333 8935
7969 8620 9295 9998 10723
9297 10056 10845 11662 1 2510
1 0625 11493 12393 13328 1 4297
7500 7750 8 000 8 500 9 000
19125 20423 21760 24566 2745C
2867 3063 3264 3685 4131
3825 4084 4352 -913 5508
4i81 5106 5440 6 41 6885
5737 6127 6538 '370 8262
6694 7145 7616 8598 9639
7650 a169 a704 9826 1 1016
9562 10212 1 0880 1 2283 1 3-70
11475 12254 13056 1 4738 1 6525
13387 1 4297 1 5232 1 7196 1 9278
15300 16337 1 7408 19653 2 2033
Dlsplacemenl
Plunger area 23 1
. stroke
5
6
7
8
CAMERON HYDRAULIC DATA
INGERSOLLRAND
Standard Hardness Conversion Tables for Steel Br~nell
Dia
Rockwell
Areas of Circles Diameters in Inches and Areas in Square Inches* Area
Dia
_
Area
I
Dia
/
Area
-
173 782 176 715 179 673, 182 655 185 h b l 188 692 191 748 194 Q28 197 933 201 062 204 216 207 395 210 59s 213.825 217 077 2?0 354 223 655 226 981 230 3 3 1 233 i 0 6 237 105 240 529 243 97; 247 45 250 94E 251 47 258 016 ? b l 5s; 265 153 "6s 803 ? i ? 44s ?ib I17 2i9 El1 ? \ 3 52'3 237 272 291 04 494 832 29'; 613 30'2 45'1 :306 355 310 445 114 16 3?? ObJ 330 064 336 164 346 361 354 657 303.051 371 543 380 134 3 5 1 S22 397 609 406 494 415 4 7 i 424 555 433 737 443 015 452 3'4 401 Sb4
* Also appller
to
I i - I Dia
Area
Dia
471 436 481 107 490 875 500 742 510 i 0 6 520 769 530 93 541 19 551 547 562 003 572 557 563 209 593 959 604 807 615 754 6?6 798 637 941 649 182 660 521 671 959 683 494 $95 128 106 86 718 69 730 618 742 645 754 i 6 9 i b 6 992 i i 9 313 i 9 1 712 hO4 25 b l b 865 629 579 842 391 655 301 b63 709 b b l 415 694 62 907 922 921 '323 934 E?? 445 42 9h? 115 975 909 9b9 9 1003 79 1017 678 1032 065 1046 349 1060 i ? ? 1075 ? I 3 I089 i 9 2 1104 409 1119 244 1134 I 1 8 1149 oas 1164 159 1179 327 1194 593
*ih
D ~ a m o n dCone Penetrator 1
C Scale 150 kg load
D Scale 100 kg load
A Scale 60 kg load
68 67 66 65 64
76 9 76 1 75.4 74 5 73.8
85.6 85 0 84 5 83.9 83 4
10 mrn Standard Ball 3000 kg load
-
-
V~ckers Diamond Pyrarn~d
940 900 865 832 800
any cnns!strn? .;tern, I e ft-.;q f t , yd-s,j yd. meters-sq meters, etc
I I I 1 Data from ASTM E 140. Convers~onof hardness values must be cons~deredas somewhat approxlrnate
MISCELLANEOUS
INGERSOLLRAND CAMERON HYDRAULIC DATA MEASUREMENT OF HEAD WITH VARIOUS TYPES O F GAGES" Symbols (The following symbols apply to Figs. X to H) h,,, = Discharge gage reading in feet of water h,, = Suction gage reading in feet of \vatel. Z,, = Elevation of discharge gage zero above datum elevation in feet Z , = Elevation of suction gage zero above datum elevation in feet (Z,, and Z , a r e negative if t h e gage zero is below the datum elevation) Y,,= Elevation of discharge gage connection to discharge pipe above datum elevation in feet Y,= Elevation of suction gage connection to suction pipe above datum elevation in feet (Y,, and Y, a r e negative if t h e gage connection to t h e pipe lies below t h e datum elevation) V,, = Average water velocity in discharge pipe a t discharge gage connection in ftlsec V , = Average water velocity in suction pipe a t suction gage connection in ftisec h,/ = Total discharge head in feet above atmospheric pressure a t datum elevation h , = Suction or discharge gage reading in feet of mercury h, = Total suction head in feet above atmospheric pressure a t datum elevation H = Total pump head in feet H = h,, - h,, (h,, and h, a r e negative if the corresponding pressures a t t h e datum elevation a r e below the atmospheric pressure) W,,, = Specific weight of mercury, lbsicu ft = 848.699 lblft:' at 0°C (32°F) or 845.622 Ibift:' a t 20°C (68°F) 11. = Specific iveight of liquid pumped, lbslcu ft h , Z and I' without subscripts apply equally to suction and discharge head measurements. Datum elevation is at t h e centerline of ho1,izontal pumps and a t t h e entrance eye of t h e suction impeller on vertical shaft pumps. Note:--The \vord "Water" is used in t h e following t e s t to represent t h e liquid being pumped. The provisions a r e applicable to t h e pumping of other liquids, such as oil, t h e gages escept m e r c u y gages, containing the same liquid a s that being pumped. Pages 7-2E to 7-33 reprinted from Standards of the Hydraulic Institute.
8-16
Connecting pipe air-filled, to be drained before reading. Water cannot be used in C tube if either h,,,, o r h,,, exceeds height of rising loop. In particular installations, either h,, o r h , may be measured by various types of gages. Figs. D t o H illustrate various examples, h,, representing generally t h e gage reading, applicable to either t h e discharge gage reading h,,,, or t h e suction h e a d ~ n gh,,.
Measurement of Head by Means of Water Gages
If t h e pressure a t t h e gage connection "a" is above t h e atmospheric pressure use arrangement shown in Fig. A with line between discharge o r suction pipe and t h e corresponding gage filled completely with water. In this case
If pressure a t gage connection "a" is below atmospheric pressure use arrangement shown in Fig. B showing suction gage. In this case h,
=
h,"
-
Z,
v ,' +-
2g The negative sign of Z , indicates that t h e gage zero is located below t h e datum. If t h e pressure at t h e gage connection "a" is below the atmospheric pressure, use arrangement shown in Fig. C with line between t h e discharge or suction pipe and the corresponding gage filled completely with air.
INGERSOLL-RAND
MISCELLANEOUS
CAMERON HYDRAULIC DATA
Measurement of Total Pump Head by Means of Differential Mercury Gage
In this case
In this case
B:
L h Po,
5 , <~
Signs of Y ,, and Y , apply to positions shown in Fig. C.
Measurement of Head by Means of Mercury Gages The gage pressure is above the atmospheric pressure and t h e connection line is filled with liquid pumped. Arm)cgejr?e)ltper Fig. D In this case
G O U ~ .
connecton
'don(
VOI..
kg-Reading of differential mercury gage in feet of mercury. Connecting lines a r e completely filled with water. Besides the differential gage, use a separate suction gage a s shown in Figs. B and E.
Measurement of Head by Means of Calibrated Bourdon Gages
When the gage pressure is below t h e atmospheric pressure, and t h e connecting line is completely filled with air, ~ i t ah rising loop to pc) prevent water from passing to mercury column. A)*),ar?gct))e)?t Fig. E. n In this case ng "a V" U',,! h= h,i Y+*90 L \v C O . ~ ~ C +
-
--
-
The relation between the pressure expressed in pounds per square inch (psi) and that expressed in feet of head is: P,, = Gage reading, psi ur = Specific weight of the liquid in lbsicu ft Z is measured to the center of the gage and is negative if the center of t h e gage lies below the datum line. Gage pressure above the atmospheric pressure and the connecting line completely filled with water. 7" In this case
-
Pot Mercury
11,.
i.
( C o n t ~ n u e d next , page)
INGERSOLLRAND
CAMERON HYDRAULIC DATA
Measurement of Head on Vertical Suction Pumps in Sumps and Channels I n installations of vertical shaft pumps drawing w a t e r from large open sumps and having short inlet passages of a length not exceeding about three diameters of the inlet opening, such inlet pieces having been furnished as part of t h e pump, t h e total head shall be t h e reading of the discharge gauge in feet, plus t h e velocity head a t the gauge connection in feet, plus t h e vertical distance from the gauge center to t h e free water level in t h e sump in ft. (Z,. - Z,).
1
\IMPELLER
EYE = DATUM
MISCELLANEOUS Data Required by Pump Manufacturers For Proper Selection of Material 1 S O L L T I O h TO 13E P I M P E D [ G i ~ common e name \$here 1msiible .uch d. \jlinning bath "black liquor," "spent p~ckle."etc I . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 P R I N C I P A L CORROSIVES (H.SO,. HC'I, etc I . . . . . . . . . . . . . . . . . . .. . . ( by w e ~ g h t( I n cases of rnxturea. state definite percentages by welght. For example: mixture contains 2 ' ~acid. in t e n n s of 9 6 . 5 ' ~H,SO, 3, pH (if aqueous solution). . . . . . . . . . . . . . a t . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . F. 1 IMPL'RITIES OK O T H E R CONSTITL'ENTS NOT G I V E S I S "T i L ~ s tamounts of any metallic salts. sucn as chlorides, sulphates, aulph~des,chromates, and any organic materialb which may be present, e \ e n though in percentages as low as .Ol'i. Indicate, where practical. whether they act as accelerators or ~ n h ~ b i t o on r s the pump matenal.) . . . . . . . . . . . . . . . . .
...................................................................... S P E ( ' I F 1 r GRAVITY c*olution ~ ~ u m l j e d. ) . . at .F 6. TEMPERATL'RE O F SOLVTION. h l a x i m u m . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . F. . Minimum . . . . . . . .. F , N o r m a l . . . . . . . .F 7. VAPOR P R E S S I . R E S AT ABOVE T E M P E R A T L R E S : Max~mum . . . . . . . . . . . . . . . . . . . . . Minimum . . . . . . . . Normal . . . . . . . ..t Indicate units used, such as ~ ~ o u n dgauge. s Inches water, millimetrrs m e r r i ~ r y1 6 . VISCOSITY . . . . . . . ..SSL', or . . . . . . ..centlstokes. a t . . . . . . . . . . . . . . . . . . . F. 9 .AERATION: Air-Free . . . . . . .Partial . . . . . .Saturated . . . . . . . . . . . . . . . . . . . . . . . . Does liquid have tendency to foam? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10. O T H E R G A S E S IN SOLI'TION . . . . . . . . .ppm, o r . . . . . . . . . .cc per liter . . . . . . . . . . . . . . . . . ................................................................................. 11. S O L I D S IN S V S P E N S I O N : (state types) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Specific grabity (if solids . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . .. Q u a n t ~ t yof solids . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .."+. . by weight Partlcle slze . . . . . .mesh . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .'+ . . by ure~ght . . . . . . . . .mesh . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ';by weight . . . . . . .mesh . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ' i hy weight Ctlardcterofho11ds. I'ulpy . . . . . . G n t t y . . . . . . . . Hard . . . . . . . .Soft . . . . . . . . . . . . . . . . . . . 12. CONTINUOITS OR I N T E R M I T T E N T S E R V I C E . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . W1I1 pump be used for circulation closed system o r transfer? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . W1l1 pump be operated a t times a g a n s t closed discharge? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . If intermittent, how often IS pump s t a r t e d ? . . . . . . . . . times per . . . . . . . . . . . . . . . . . . . . . . . . . . . Will pump be flushed and d r a ~ n e dwhen not In s e n l e e ? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13. T Y P E O F M-ATERIAL I S P I P E L I N E S TO BE C O N N E C T E D TO PCMP . . . . . . . . . . . . . If desirable, a r e insulated j o ~ n t spract~cal?. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . If so, what percentage of element ( F e , Ni, C u , e t c . ) IS objectionable? . . . . . . . . . . . . . . . . . . . . . . 11. I S METAL CONT.4MISATION I ' N D E S I R A B L E ? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15. P R E V I O I I S E X P E R I E N C E : Have you pumped this solution? . . . . . . . . . . . . . . . . . . . . . . . . . . If i o , of u hat matenal or matenals was pump made? ................................................................................. Service life In month.;? . . . . . . . . . . . . . . . . . . . . ............. In case of trouble. u hat part.; were affected: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Was trouble 17r1manly due to corrosion?. . . . . . . .erosion?. . . . . . . ..galvanic a c t ~ o n ?. . . . . . . . stray current: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Was attack n n ~ f o n n ?.. . . . . . ..If local~zed,what p a r t i were ~nvol\eti?. . . . . . . . . . . . . . . . . . . . . ................................................................ If gal\ anlc action, name matenals in\.ol\ ed . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .................................................................................. If p ~ t t e d ,descnbe size. shape and location ( A sketch ud1 be helpful in an analysis of problem j.
................................................................................. 16. W H A T 1 5 C O N S I D E R E D AN ECOSOMIC L I F E " . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . (If replacement does not become too frequent, t h e use of inexpensive pump materials may be the mo..t ecor.om1ca1. 1
MISCELLANEOUS
INGERSOLL-RAND CAMERON HYDRAULIC DATA
Pump Materials
Pump Materials
Materials of Construction For Pumping Various Liquids
The accompanjing t a b k s a r e printed as a guide to pump users, indicating t h e matenals commonly used in t h e manufacture of pumps for t h e liquid s e n i c e s listed. I t must be recognized, however, that temperature, abrasive qualities of t h e I~quid,concentration, purity, and structural design problems a r e factors t h a t will seriously affect selection of t h e materials for a pump. The letter symbols and numerical selections as used in Column 5 "Material Selection" a r e summarized below.
A -designates B -designates C -designates
Co umn 1
Acetaldehyde Acetate Solvents Acetone A c e t ~ cAnhydride Acid Acerlc
1 1 (a) 2
43 5
6
~
A 4 8 Classes 35 4 0 & 50 A536 & A395
Y&vE ;
A743-CAI 5 A743-CB30 A743-CC50 A743-CF-8 A743-CF-8M A743-CN-7M
7
8 9 10 11 12 13 13(a) 14
1 1
A518 A436 A439
20
25
an all bronze pump a bronze fitted pump a n all iron pump
Acld Acid Acd Acd Acld
Bor~c Butyric Carbol~c Carbo~c Carbonic
D u c t ~ l eC a s t Iron-SIX G r a d e s Tin B r o n z e 8 L e a d e d Tin B r o n z e - s e v e n a l l o y s C a r b o n Steel 5% C h r o m ~ u mSteel 1290 C h r o m ~ u mS t e e l 20% C h r o r n ~ u mSteel 2E0to C h r o m ~ u mS t e e l 1 9 - 9 A u s t e n ~ t ~Sct e e l S ct e e l 19-10 Molybdenum A u s t e n ~ t ~ 2 0 - 2 9 C h r o m t u m N ~ c k eAl u s t e n ~ t ~ S ct e e l w l t h
I
CO
Aqueous Sol Aqueous Sol
CrO C H.0
ti0 H O
CHO
8 9 10 11 12 A 8 9 10 11 12 A 8 9 10 11
1 2 2
1 9 1 0 1 1
1
I
HCI
Anhydrous wlth Hydro Carbon Aqueous Sol
HF
nxcx
Sulfdrc-N~trlc (SeeAcid H y d r o c i l o r c l Conc Bo111ng
HNO
Dilute Cold Hot
C H O , 2HO C H O , 2HO H PO
Pyrogallc Pyrollgneous Sulfur~c Sulfur~c Sulfur~c
Acld Sulfuric Acld Sulfuric Acid S u l l ~ r ~ c iOleuml A c d Sulfurous Acid T a n n c
\V.ARNISG Some of the liquids covered in the following tables are extremely corrosive, toxic or \olatile, and can be hazardous if mishandled or misused. Improper handling or usage could result in se\ere damage to equipment or property andlor serious personal injury o r death.
H0
HCN
Acld N ~ t r c A c d Oxalc Acld O x a l ~ c Acld Ortho-Phos phorlc Acd Pctrc Acd Acld Acd Acld Acid
I
(See Phenol1 Aqueous Sol
Coml Conc D I Cold D l Hot
A c ~ dM n e Water Acid Mlxed A c ~ dM u r ~ a t i c Acld Naphfhen c Acld N l t r c
15 'ASTM-denotes Arner~canSoclety for Test~ngMater~als Tables repr~ntedfrom the Standards of the Hydraul~cInstitute Copyr~ghtby the Hydraul~clnstllute
8 9 10 11 12 8 9 10 11 12
Aqueous Sol
I
A c d Hvdrofluorlc ~ c l d ~. ; d r o t ~ u o s i c ~ c Acid L a c t c
Copper 8 Molybdenum A s e r l e s o f n ~ c k e l - b a s ea l l o y s C o r r o s ~ o nR e s ~ s t a nH t ~ g h - s ~ l ~ c aosnt I r o n Austen~t~ c ac s t i r o n - 2 t y p e s I Duct~le A u s t e n i t ~ cC a s t I r o n N ~ c k e l - C o p p e ar l l o y N~ckel
Mater~al selection
DII Cold Conc Bo,l#ng D l Botl~ng
Acld Fru t A c ~ d Hydrochlor~c Acld. Hydrochloric A c d Hydrochlorc A c ~ d Hydrocyanic
G r a y Iron-SIX G r a d e s
Column 5
Specif~c grav~ty
C H0 CHO
Conc Cold
Acid C h r o m c Acld C ~ t r ~ c A c d s Fattv l O l e c Palmtlc 'Stearc etc ) Acid F o r m c
Remarks
30
Column 4
A B C 8 9 1 0 1 1
Acid A c e t ~ c Acid A c e t ~ c A c d Acetic Acld Arsenc Ortho A c ~ dBenzo c
Correspond~ng N a t ~ o n aSl o c l e t y Standards D e s ~ g n a t ~ o n ASTM'
Column 3
Column 2
Chern cal symbol
Summary of Material Selections and ASTM ' Standards Designations Matertal Select~on
I
H SO
SO
;so
A c d Tartartc Alcohols Alum
Aqueobs Sol See A u m n u m S u l p l a t e and Dotash Albmi Aqueous Sol
Aldmlnum Sulpnate A r n m o n ~ u m Aqda 1
/
1
Y H O C H,O.
A 1SOi N O H
HO
' Courtesy ot Hydraulic lnstltute
I
8-23
INGERSOLLRAND
CAMERON HYDRAULIC DATA
MISCELLANEOUS Materials of Construction For Pumping Various Liquids (cont.)
'Materials of Construction For Pumping Various Liquids (cont.) Column 2
Column 3
Column 1 Cond~ton of q u d
L~qb~d A m m o n u m Blearbonate Ammonum Chlor~de Ammonum N~trate A m m o n ~ u mPhosphate D ~ b a s c A l u m ~ n u mSulfate Ammonium Sulfate An~l~ne A n l ~ n eHydrochorlde Asphalt B a r ~ u mChloride B a r u m Nitrate Beer Beer Wort Beet J u ~ c e Beet P u p Benzene Benz~ne Benzol B i c h l o r ~ d eo f Mercury Black L ~ q u o r
Spec~+~c qravitv
Aqueous Sol
I
Mater~al selecton
Liqud
NH,CI NH,NO INH,) HPO
Chlorobenzene Chlorotorm Chrome Alum Condensate Copperas Green
(NH,! SO,
Wlth s u l l u r c a c a
Copper Ammonium Acetate Copper Chlorlde (Cuprlc) Copper Nitrate Copper Sulfate Blue Vtrol Creosote
Hot Aqueous Sol Aqueous Sol
(See C a l c ~ u mHvpochortel ( D e p e n d ~ n gon conc 1
I /
Brne Cacum & Magnes~um Chor~des Brlne Calcium & S o d u m Chorlde B r ~ n eS o d ~ u m Chlorlde
Aqueous Sol
Cyanogen Dlphenyl Enamel Ethanol Ethylene C h l o r d e (dl-chor~del Ferrtc Chlorlde Ferric Sulphate Ferrous Chloride
A B !See Water B o e r Feed! PH 8 pH
CaCl
C A 10 11 13 14
8
1
Aqueous Sol
A 10 11 13 14
Under 3'0 Salt Cold
NaCl
Over 3"0 Salt C o d Over 3'0 S a t HO!
Paper Mill
C a l c ~ u mChlorate C a l c u m Hypochlorite Calcium M a g n e s u m Chloride Cane J u ~ c e Carbon B i s u f i o e
Aqueous Sol
Carbonate o f Soda Carbon Tetracnlor~de Carbon Tetracnor de Catsup Cabst~cPotash
(See Soda Ashi Annydrous Plus Water
Caustlc Soda Cellulose Acetate Cnlorate of L8me
(See S o d b m Hy3rox del
[See Brnesr
(See P o t a s s u m ~y droxldei
[See Calcium C h l o ~ a t e l
Courtesy of H y d r a u l ~ cl n s t ~ t u t e
1
Gasol~ne Glaubers Salt Glucose Glue Glue S z n g
l A C 1 3 1 0 2 - 1 20
1 03
1
Aqueous Sol
Aqueous Sol
C H.0 (See S o d ~ u mC y a n d e and Potassum Cyandej In Water
1
A 8 9 lC 11 13 14 9 10 11 12 14
Glycerol ( G l y c e r ~ n ~ Green L ~ q u o r Heptane Hydrogei Peroxde Hydrogen S u l f ~ d e
A B C
C4H, CaIHSO
i
Hydrosulfte of Soda H y p o s u l f t e o f Soda Kaon SIP K a o l q S11p Kerosene Lard Lead Acetate (Sugar o f Lead) Lead L m e Water ( M k o f L~mel L ~ q u o r - P u l p M111 Black '
(CNI Gas C,H C.H
(See A c o h o l s ~ Cold Aqueous Sol Aqueous Sol Cold Aqueous
Ferrous Suphate (Green Copperas) Formaldehyde F r u ~ Jt u ~ c e s Furfural
A 10 11 13 14
12H 0
(See 011Creosote)
0 88 B C
C H CI CHCI CrKISO,!
Aqueous Sol (See Water D1st1Iled1 (See Ferrous Sulfate
CuCl
Cresol Meta Cyanlde C,H
Column 5
Condtlon
Aqueous Sol
(See Petroleum ether) (See Benzene! (See M e r c u r ~ cCtilor~de) [See Llquor Pulp Mill
Column 4
Column 1
C h l o r ~ d eot L m e
Aqueous Sol Aqueous Sol Aqueous Sol
(See type]
'
Column 3
Column 5
Aqueous Sol
Bleach S o l u t ~ o n s Blood Bolled Feedwater B r ~ n eCalcium Chlorlde B r n e Calcum Chlor~de
B r ~ n eS o d u m Chloride ~ r n esodturn Chlorlde B r ~ n eSea Water Butane Calcum B ~ s u l f t e
Cnemcal symbol
Column 4
C H,CI
I
FeSO.
(See S o d u m S u f a t e l Hot A B C (See Llquor Pulp M l l I Aqueous Sol Aqueous Sol [See Sodjum Hydrosulf~te) (See S o d u m T h o sulfate! Suspenson In Water Suspenston n A c d (See 011Kerosene,
Molten
Courtesy of Hydraulic lnslllute
8-25
MISCELLANEOUS Materials of Construction For Pumping Various Liquids (cont.) Column 2
Column 3
Column 4
Column 5
Cond~ton of Iiquld
Chem~cal symbol
Specflc gravity
Materal selection
Materials of Construction For Pumping Various Liquids (cont.)
Column 1 L~quid Liquor-Pulp M I I Green L~quor-Pulp M I I Whlte Liquor-Pup M ~ l l Plnk
Aqueous Sol Lye C a u s l ~ c M a g n e s ~ u mC h o r d e M a g n e s ~ u mSulfate (Epsom Salts) Manganese C h l o r ~ d e Manganous Sulfate Mash Mercuric Chlor de M e r c u r ~ cChloride Mercuric Sulfate
1
L~quid
LICI
(See P o t a s s ~ u m8 S o d ~ u mHydroxldel Aqueous Sol Aqueous Sol
Column 5
Specific gravity
Material select~on
Paraff n Perhydro1
Hot (See Hydrogen Peroxde)
Peroxlde o' Hydrogen Petroleum Ether Phenol Pink Liquor Photographlc Developers
(See Hydrogen Perox~de
Plating S o l u t ~ o n s
B C
B C C,H 0
8 9 10 11
Potash
MnSO 4H 0
Potash Alum
Aqueous Sol
A1 (SO,) K SO 24H 0
VeryD~luteAqueousSol Coml Conc Aqueous Sol In S u l f u r ~ cAcid
HgCl HgCl
Potassium B chromate Potass~um Carbonate
Aqueous Sol
K.CrlO-
Aqueous Sol
KICO
Potassium Potasslum Potasslum Potassium
Aqueous Sol Aqueous Sol Aqueous Sol Sol
KClO, KC1 KCN KOH
Aqueous Sol
KNO
(See Acld M ~ n eWater) (Zoo0Soyabean 0118 Solvent)
I
HgSO
+
Hg SO, CH CI CH Cl
H SO
-
H SO,
Chorale Chlorlde Cyanide Hydrox~de
I
iSee Lime Water)
i Naphtha Crude N~cot~n Sulfate e N~tre N11reCake Sulphate
Aqueous Sol
R o s n (Colophony) Sal A m m o n ~ a c
Paper M l l (See Ammonium Chloride) Aqueous Sol (See Brlnesj (See Brines)
A 8 9 10 11 12
1
Aqueous Sol
A B C A 8 9 10 11 12 A B C A 8 9 10 11
Salt Lake S a t Water Sea Water
CHNO
Sewage Shellac Silver N t r a t e Slop Brewery Slop D ~ s t ~ l l e r s
Nitro Methane 011Coal Tar 011Coconut
Cold Hot
I
011. Mineral Oil. Olwe Oil Palm
Carbonate Chlorate Chlor~de Cyan~de Hvdrox~de
Sodium H y d r o s u l f t e S o d u m Hypochlorite Sodlum H y p o s u l f ~ t e
011Quenching 011Rapeseed 0 1 Soya Bean
Courtesy of H y d r a u l ~ cl n s t ~ t u t e
t
CHN
C
Soap Llqbor Soda Ash Soda ASI
Sodfum Sodium Sodtum Sodlum Sodlum
011Lubrcattng
A 8 9 10 11 13 14 A 9 10 11 12 13 14
Potassium Sulfate Prooane Pyridine P y r d ~ n eSulphate Rhdolene
I
Nitre Ethane
1 07
(See L ~ q u o r Pulp Mill)
MnCl ,H 0
Aqueous Sol
M ~ n eWater M~scella
S o d ~ u mMela S ~ c a t e Sodturn N ~ t r a t e S o d u m Phosphate Monobaslc ' Courtesy of
8-26
Column 4
Chemlcal symbol
Aqueous Sol
I n S u l f u r ~ cAcid
Oil Crude Oil Essential Oil Fuel 011Kerosene 0 1 Llnseed
Column 3
( V a r ~ e dand compli cated consult pump mfgrs ) Plant Liquor
Mercurous Sulfate Methyl C h l o r ~ d e Methyene Chloride Milk M ~ l kof Lime
Oil Creosote 011Crude
Column 2 Condltlon of liquid
Column 1
(See Soda Ash] Aqueous Sol (See Brnesr Aqueous Sol Aqueous Sol
NaClO NaCN NaOH
Aqueous Sol [See Sodturr Thio sulfatel Aqueous Sol Aqueous Sol
Hydraulic lnstltute
NaNO NaH PO H 0
INGERSOLL-RAND CAMERON HYDRAULIC DATA *Materials of Construction For Pumping Various Liquids (cont.) Column 2
Column 3
Column 1 Chernlcal symbol
L~qu~d Sodlum Phosphate Dlbas~c Sodlum Phosphate Tr~baslc Sodlurn Phosphate Meta Sodlum Phosphate Hexarneta
Aqueous Sol Aqueous Sol Aqueous Sol Aaueous Sol
S o d ~ u mPlumblte S o d ~ u r nSulfate Sodlum Sulflde Sodlum S u l f ~ t e S o d ~ u mThlosulfate
Aqueous Aqueous Aqueous Aqueous Aqueous
Sol Sol Sol Sol Sol
Stannlc C h l o r ~ d e Stannous Chlorlde Starch Strontium N~trate Sugar
Aqueous Sol Aqueous Sol.
S u l f ~ t eLlquor Sulfur Sulfur Sulfur Chlorlde Syrup
(See Llquor. Pulp M ~ l l ) I n Water Molten Cold (See Sugar)
Tallow Tannlng L ~ q u o r s
Hot
Tar Tar 8 Ammonla Tetrachloride of Tin
Hot In Water (See Stannlc Chlor~de)
SnCl, SnCl, (C,.H,,,O.)x Sr(NO0,
. . . . . . . .
Aqueous Sol Aqueous Sol
Tetraethyl Lead Toluene (Toluol) Tr~chloroethylene Ur~ne Varnlsh
Pb(C:H-,), C-H, C2HCI,
Vegetable Julces Vlnegar V l t r ~ o l Blue , V ~ t r l o lGreen , Vltrlol. 011of
(See Copper Sulfate) (See Ferrous Sulfate) (See Acrd S u l f u r ~ c )
V ~ t r ~ oW l .h ~ t e Water. Boller Feed H ~ g hMakeup Low Makeup Water. Dlstllled
(See Zlnc Sulfate) Not evaporated pH 8 5 pH' 8 5 Evaporated. any pH H ~ g hPurlty
Water, D~stllled Water. Fresh Water. Mlne Water. Salt & Sea Whlskey
Condensate
W h ~ t eL ~ q u o r Whlte Water W~ne Wood Pulp (Stock) Wood V~negar
(See L ~ q u o r Pulp . MIII) Paper M ~ l l
Wort Xylol (Xylene) Yeast Z ~ n cC h l o r ~ d e Z ~ n cSulfate
(See Beer Wort)
. . . .
(See A c ~ d .M ~ n eWater) (See Brlnes)
(See A c ~ dPyrollgneous)
Aqueous Sol Aqueous Sol
' Courtesy of Hydraulic Institute.
8-28
A B C A 8 A B C
r
f
I
A
\
/
SECTION IX
-
CONVERSION DATA
-
INGERSOLLRAND
CONVERSION FACTOR DATA
CAMERON HYDRAULIC DATA
General Notes Since the British Gravitational System (English System) of units is still the system in practical use in the United States today and will continue to be so for sometime in the future and is the basis on which the data in this book is printed, the proper understanding of certain fundamental terms in this system is essential and therefore the following review is offered:
CONTENTS OF SECTION 9 Conversion Factors Page General Notes
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9-3
Common English Equivalents and Formulas
. . . . . . . . . . . . . . 9-4
Notes on International System ( S I )of Units
. . . . . . . . . . . . . . .
Metric ( S I )Conversion Data . . . . . . . . . . . . . . . . . . . Fahrenheit and Celsius Equivalents (Conversion Table) Metric (S1)-Conversion Factors Metric Flow Formulas
. . . . . . . . . . . . . . . .
9-5
,I,
. . . . . . . 9-8
9-11 9-14 thru 9-27 . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9-28
The pound (Ib) is the unit applylng to force or weight and also to mass, but with a different meaning. It is therefore ambiguous, and confusion in its use may result. Force is a "quantity" (of something rather undefinable, a primary cause known only by its effects) which will change the velocity of-accelerate or decelerate-a particle of matter. Weight of a body means the force required to support it against the action of gravity (in that locality). Mass is defined by the relation; Force = mass x acceleration = weight r acceleration of gravity. To avoid confusion we should really speak of "lb force" and "lb mass". The foot (ft) is the "arbitrarily selected" unit of length. The foot-pound (ft-lb)is the unit of work, or of mechanical energy which is the capacity to do work. 1 ft-lb is the work performed by a force of 1 lb acting through a distance of 1 ft; or the work required to lift a weight of 1 lb vertically by 1 ft; or the potential energy of the weight after being raised, in reference to its former level. Standard conversions of ft-lb to other units are based on the acceleration of gravity a t sea level, 45" latitude. The horsepower (hp) is a unit for measuring power, or work performed in unit time. I t is a rate of doing work or expending mechanical energy
j
1 hp sec.
550 ft-lb per sec
=
=
33,000 ft-lb per min
=
0.7067 Btu per
The horsepower-hour (hp-h)is a unit of work; so is the kilowatt-hour (kW-h).The time consumed may be anything, say a fraction of a second or a million years, depending on the rate a t which the work is performed. I t is one hour only if the rate of work is 1 hp or 1kW.
I
I
1 hpeh
=
1 kW.h
1,980,000 ft-lb
=
1.341 hp.h
=
=
2544.17 Btu
3412.14 Btu
=
=
0.7457 kW.h.
2,655,000 ft-lb 9-3
I
INGERSOLLRAND
Torque is turning effort caused by a force acting normal to a radius at a set rli.;tance from the axis of rotation, and is expressed in poundfeet tlb at a radius of 1 ft 1. Torque (lb-ft)
=
force (lb) x lever a r m (ft)
=
5250 (hl)) rpm
Conversions . . . Ecluations involving units of measure a r e of two types: (1) equations of equivalent physical quantities, such as 12 in. 1 ft: an(]. (2) rqnation..; of eclilivalent nuniel-ical value, such as (no. ((no. of ft). In making conversions or in substituting of in.) = 1" terms in a formula the second type is usually more convenient.
-
English Conversion Table convert From
MUltlply
Length inches Inches feet feet feet yards yards -
1
Convert From
To
1
1
feet yards inches yards m~les feet m~les
cu feet
cu ~ n c h e s
cu cu cu cu
cu yards U S gal cu ~ n c h e s cu feet
feet feet yards yards
1
Weight ( A v o i r d u p o ~ s )
Area
ounces grains sq lflchfts
sq yards acres
Multlply By
Volume
/
-~
acres
o 002286 437 5 0.0625
- .
Circumference of C ~ r c l e 3 1416 d a 6 2832 r a d ~ u s Area of C ~ r c l e 7854 (dial-' 3 1416 . (radius\! Area of Sphere 3 1416 \ ( d ~ a l Volume of Sphere = 0.5236 x (dia)j Area of triangle 0 5 . base . h e ~ g h t Area of a trapezo~d 0 5 x sum of tile two parallel s ~ d e s. h e ~ g h t Area o f a square, a rectangle or parallelogram = base x height Volume of a p y r a m d area of base . 1 3 height Volume of a cone 0 2618 (dia of base)' h e ~ g h t Volume of a c y l ~ n d e r= 0.7854 x height x diag --
-
-
-
International System of Units (Metric) General Notes The International System of Units, generally known as "SI", has been adopted by t h e International Standards Organization. Recognizing t h e worldwide trend to the use of this modernized metric system this edition is providing these guidelines for t h e use of SI in its practical applications to hydraulic engineering. These guidelines include most units which a r e likely to be used in handling of hydraulic fluids. This system is known as SI and consists of seven base units and other units which a r e coherently derived from them. The fact t h a t it is coherent is one of t h e main advantages claimed for SI. I t means that t h e product o r quotient of any two unit quantities in t h e system results in another unit quantity.
SI Base and Supplementary Units Quantity
Unit
Length Mass Time Electric current Thermodynamic temperature Luminous intensity Molecular substance Plane angle Solid angle
meter kilogram second ampere kelvin candela mole radian steradian
Derived Units Quantity 2000 2240
.
CONVERSION FACTOR DATA
CAMERON HYDRAULIC DATA
Unit
SPACE AND TIME Area Volume Velocity Acceleration Angular velocity Angular acceleration Frequency Rotational speed
square m e t e r cubic m e t e r m e t e r per second meter per second squared radian per second radian per second squared hertz revolution p e r second revolution per minute
Symbol m kg S
A
K cd mol rad sr
Symbol
INGERSOLL-RAND
CONVERSION FACTOR DATA
CAMERON HYDRAULIC DATA Unit
Symbol
kilogram per cubic meter hlogram meter per second kilogram meter squared newton newton meter
kgim:' k g m/s kg. mZ N = kg.m/s2 N.m
k n e m e t i c viscositv Dynamic (absolute) viscosity
joule watt pascal
J = N.m W = Jls
Explanation of Some of t h e Units
degree Celsius watt per meter kelvin joule p e r kelvin joule per kilogram kelvin
"C W/(m, K) J/K J/(kg. K)
Quantity
Quantity
MECHANICS Density Momentum Moment of inertia Force Torque, moment of force Energy, work, heat quantity Power Pressure, stress
Pa
=
coulomb
C
volt volt per meter farad ampere per square meter ampere per meter weber tesla henry henry per meter ohm siemens ampere
V = W/A Vlm F = A . s/V A/m2 A/m Wb= v . s T = Wb/mZ H = V . s/A Him 11 = VIA S = A/v A
lumen lux candela per square meter
lm = c d . s r lx = lm/m2 cdm2
=
A.s
LIGHT Lumonous flux Illumination Luminance
square meter per second pascal second
m2/s Pa.s
The principal departure of SI from t h e gravimetric form of metric engineering units is the separate and distinct units for mass and force.
N/mZ
ELECTRICITY AND MAGNETISM Electric charge Electric potential, voltage, electromotive force Electric field strength Capacitance Current density Magnetic field strength Magnetic flux Magnetic flux density Inductance Permeability Resistance Conductance Magnetomotive force
Symbol
VISCOSITY
LIGHT Customary temperature Thermal conductivity Entropy Specific heat
Unit
Kilogram (kg) is restricted to t h e unit of mass. Mass is t h e property of matter to which it owes its inertia.
1
Newton (N) is a unit of force and should be used in place of kilogramforce, poundforce, etc. The first law of motion, force is equal t o mass times acceleration, defines the newton in terms of base units. 1 N = 1 kg.rn/s2 Joule ( J ) is a unit of energy and is t h e work done when the point of application of a force of one newton is displaced a distance of one meter in t h e direction of t h e force. 1 J = 1 N . m W a t t ( W ) is a unit of power which gives rise to the production of energy a t t h e rate of one joule p e r second. 1 W = 1 J / s Pascal (Pa) is a unit for pressure o r stress of one newton per square meter. 1 P a = 1 N/mZ Kelvin (K) is t h e unit for Thermodynamic Temperature ancl should be used as t h e preferred unit to express temperature and temperature intervals. However, wide use is made of the degree Celsius in nonscientific areas, and it is permissible to use the Celsius scale where considered necessary. The Celsius scale is what was formerly called the centigrade scale. The temperature interval one degree Celsius equals one Kelvin exactly: 1°C = 1K. Celsius temperature is related to thermotlynamic temperature by the equation: "C = K - 273.15.
CONVERSION FACTOR DATA
CAMERON HYDRAULIC DATA
INGERSOLLRAND
SI Units and Conversion Factors
SI Units and Conversion Factors (Continued)
Units underlined are those selected for common use
Units underlined are those selected for common use Mult~plyby
to
To Convert from
To Convert from
to
M u l t ~ p l yby
I b
LENGTH Feet Inch M~cro~nches Statute mlles
meter mllllmeter micrometer k~lometer
m mm Pm km
0.304 8 25 4 0 025 4 1.609
AREA Square Square Square Square Acres
square mllllmeter square centimeter square meter square meter hectare
mmcmmmha
645 2 6 452 0 000 645 0 092 90 0 404 7
Inches Inches Inches feet
VOLUME Cublc lnches Cublc ~ n c h e s C u b ~ clnches Cublc feet Fluld ounce
cublc mlllhmeter cublc centimeter c u b ~ cmeter cublc meter m~ll~l~ter
& !I
Quarts (U S ) Gallons (U S )
liter
MASS Pounds Ton (short) Ton (long)
kilogram metric ton metric ton
FORCE Pound force Kilogram force
newton newton
(t) (t)
mm' cm' m mi mL L L
kg t t
N N
16387 16 387 0 000 016 39 0 028 32 29 57 0 946 4 3 785
0.453 59 0.907 2 1.016
4.448 9 807
PRESSURE STRESS Pounds square lnch Pounds'square lnch Pounds square lnch Kilogram square meter Bar' M~ll~bar'
pascal k~lopascal megapascal pascal k~lopascal pascal
Pa kPa M Pa Pa kPa Pa
SPEED. VELOCITY Feetisecond Feetlmlnute MlIes/hour
meter per second meter per second k~lometerper hour
m:s m/s km:h
joule joule joule -
J J J
1055. 1.356 4.186 8
POWER BTU!hour BTUIsecond Horsepower
watt watt k~lowatt
W W kW
0.293 1 1055. 0.746
TORQUE, BENDING MOMENT Pound feet K ~ l o g r a mmeter
newton meter newton meter
N.m N m
1 356 9 807
kllogram per cublc meter
kg m '
16 018
cublc meter per mlnute llter per mlnute
m ' mln
0 028 32
L/m~n
3 785
kllogram per mlnute
kg mln
0.453 6
ENERGY, WORK Brltlsh Thermal Unlts BTU Foot pound force Calorle
DENSITY MASS VOLUME Pound-mass cublc foot
FLOW RATE VOLUME" Cublc feet mlnute Gallons (U S ) minute
t
Note. The unlt tonne I S 0 symbols
IS
used ~n place of metrlc ton
11-
other countrles uslng
FLOW RATE MASS Poundslm~nute
6895 6 895 0.006 895 9 807 100 100.
0.304 8 0.005 08 1.609
' Note Some European countrles have adopted the Bar for pressure u n ~ t sfor ~ t spract~calvalue and or use ~nspeclal~zedf ~ e l d s For other flow conversions see pages 2-6 and 2-7 "
9-9
INGERSOLLRAND
CONVERSION FACTOR DATA
CAMERON HYDRAULIC DATA
Equivalent Temperature Readings for Fahrenheit and Celsius Scales
SI Units and Conversion Factors (Continued) Units underlined are those selected for common use To Convert from
'F = 9 5 "C + 32
to
WATER HARDNESS Grainstgallon (U S.) (GPG)
grams per l ~ t e r
g/L
0.017 12
ACCELERATION Feetisecond' Free fall, standard
meter per secondL meter per second2
m/sL mls2
0.304 8 9.806 7
ENERGYIAREA TIME BTU/feet2 second BTU!feet2 hour
watt per meter" watt per meter'
WtmL Wlm'
THERMAL CONDUCTIVITY BTU,inch/hour.feet2.deg F watt per meterkelvin THERMAL CONDUCTANCE BTUIhour. feet', deg F
CAPACITY, DISPLACEMENT inches~'/revolution ~nches'trevolut~on
watt per meter"kelvin
Wl(m,K)
W!(mY. K)
Ur mL/r
0,144 2
5 678
274 -256 238 220 202
170 160 150 -140 - 130
14 8 -14 -13 120 11 2
26 25 6 25 -244 24
24 8 25 26 266 27
-4 39 33 3 28
63 64 64 4 65 66
17 2 178 18 18 3 18 9
184 166 148 139 -130
120 110 100 95 90
11 1 0 0 94 9 8
-23 9 233 -23 22 8 -222
28 284 29 30 302
22 2 17 -11 1
66 2 67 68 69 69 8
19 19 4 20 20 6 21
121 -112 -103 94 85
85 80 75 70 65
-7 6
22 -21 7 21 1 21 20 6
31 32 33 33 8 34
06 0 -0 6 1 11
70 71 71 6 72 73
21 21 22 22 22
76 67 - 58 - 49 - 40
60 55 50 45 40
4 -3
20 -194 19 -189 183
35 356 36 37 374
17 2 22 28 3
73 4 74 75 75 2 76
23 23 3 23 9 24 24 4
0.016 39 16.39
18 178 172 -17 16 7
38 39 392 40 41
33 39 4 44 5
77 78 78 8 79 80
25 25 6 26 26 1 26 7
39 -38 2 38 37 36 4
SPECIFIC ENERGY, LATENT HEAT BTUipound
joule!kilogram
Jikg
ENERGY DENSITY BTUIcubic foot
kilojoule/rneter'
kJ:m'
~oules/k~logramkelv~n
JI(Kg K)
SPECIFIC HEAT, SPECIFIC ENTROPY BTUIpound-deg F
11348 3.152 5
-
liter per revolution m ~ l l ~ l i t eper r revolut~on
'C = 5/9 ("F-32)
Mult~plyby
2326
37 25
4184
-39 4 39 -38 9 -38 3 38
-7 -6 -5 8 5
22 -2 1 04
0
-1 14 2
1 7 2 8
INGERSOLLUAND
CONVERSION FACTOR DATA
CAMERON HYDRAULIC DATA
Equivalent Temperature Readings for Fahrenheit and Celsius Scales (Continued)
Equivalent Temperature Readings for Fahrenheit and Celsius Scales (Continued) "F
= 9!5 "C + 32
'C = 5:s ("F-32)
Fahrenhell
Cels~us
'Fahren hell
Cels~us
Fahren hell
Cels~us
Fahrenhelt
Celstus
INGERSOLLRAND
General Conversion Factors
General Conversion Factors (Continued)
'Indicates preferred SI system units
*Indicates preferred SI system units Multlply by
To
To convert from absolute (dynamic) viscosity
(refer to viscosity tables-pages page 4-28)
4-25 to
acres
square feet (ft') 'square meters (rn') 'hectares (ha)
43 560 4 046.9 0.404 69
acre-feet
cublc feet (ft') gallons (U.S.) ' c u b ~ cmeters (m:')
43 560 325 851 1 233.5
atmospheres (standard)
bars (bar) centimeters of mercury (cmHg) at 32°F (0°C) feet of water (ftH,O) at 68°F (20°C) inches of mercury at 32°F (0°C) k~lograms-forceper square centimeter (kgf/cm2) kilograms-force per square meter (kgf/mL) 'kilopascals (kPa) pounds-force per square Inch (Ibf/inL)(PSI) tons-force (short) per square foot (tonf/ft2) torr (torr) ( = mmHg at 0°C)
barrels (U.S. liquid) barrels (oil)
gallons (U.S.) 'cubic meters (m") gallons of oil (U.S.) ' c u b ~ cmeters (m,')
bars
atmospheres (atm) (standard) feet of water (ftH,O at 68°F) (20°C) inches of mercury (inHg) at P C kilograms-force per square cent~meter (kgf/cm2) kilograms-force per square meter (kgf/m2) 'kilopascals (kPa) pounds-force per square Inch (Ibf/in2)(psi) torr (torr) ( = mmHg at O'C)
boiler horsepower
British thermal units per hour (Btulh) (see note) 'kilowatts (kW) pounds of water evaporated per hour at 212°F (100°C)
B r ~ t ~ thermal sh units (Btu) (see note)
CONVERSION FACTOR DATA
CAMERON HYDRAULIC DATA
calories (cal) foot-pounds (ftlb) horsepower hours ( h p , h ) 'joules (J) kilowatt-hours (kW. h) kilo-calorles (kcal) kilogram-force-meters (kgf - m)
To convert from B r ~ t i s hthermal unlts (Btu) per second (see note) B r ~ t i s hthermal unlts (Btu) per minute (see note) British thermal u n ~ t s(Btu) per hour (see note)
252.0 778.2 0.000 393 1 055 0.000 293 0.252 107.6
horsepower (hp) 'watts (W)
'watts (W) British thermal units (Btu) foot-pounds (ft. Ib) 'joules (J) k~logram-meters( k g . m) watt hours (W.h)
Celsius (centlgrade)
degrees F-see pages 8-1 1 to 8-14 also see temperature page 8-26
'centimeters (cm)
inches (in)
0.003 968 3 3.088 4.186 8 0.426 5 0.001 163
0.393 7
atmospheres (standard) (atm) bars feet of water (ftH,O) at 68°F inches of water (inH,O) at 68°F k~lograms-forceper square centimeter (kgf/cm2) 'kilopascals (kPa) pounds-force per square inch (Ibfiin2) (Psi) pounds-force per square foot (Ibf/ftL) torr ( = mmHg at P C )
centimeters per second (cmis)
feet per second (ftls) feet per minute (ftimin) miles per hour (mph) kilometers per hour (kmih) meters per mlnute (mirnin)
centipo~ses centistokes
(see pages 4-25 to 4-28) (see pages 4-25 to 4-28)
c~rcurnference circular mils
radians (rad) square Inches (in')
34.5
Multlply by
'watts (W)
calor~es
centimeters of mercury (cmHg at 0°C)
33 479 9.809 5
To
0.032 81 1.968 5 0 022 37 0.036 00 0.600 00
6.283 0.000 000 785 4
INGERSOLLRAND
CAMERON HYDRAULIC DATA
CONVERSION FACTOR DATA
General Conversion Factors (Continued)
General Conversion Factors (Continued)
*Indicates preferred SI system units To convert from
To
cubic centimeters (cm')
cublc Inches (in3) cublc feet (ft3) cubic yards (yd") gallons (U.S.) (U.S. gal) gallons (Imperial) (imp gal) 'liters (L)
cublc feet (ft")
cubic centimeters (cm3) 'cublc meters (mi) cubic inches (~n:') c u b ~ cyards (ydT3) gallons-U.S. (U.S. gal) gallons-Imperial (imp gal) 'I~ters(L)
cublc feet per minute (ft'jim~n)
cublc feet per second (ft'jis)
cubic inches (1n3)
' c u b ~ cmeters (m')
I
'Indicates preferred SI system units Multiply by
cubic centimeters per second (cm:'/s) 'cubic meters per second (m"ls) cubic meters per hour (m:'lh) liters per second (Lis) gallons-U.S, per second (U.S. gps) pounds of water per minute (IbH,Oimin) at 68°F 'cubtc meters per second (milis) cubic meters per minute (m.'!m~n) cubic meters per hour (m:'lh) gallons-U.S. per minute (U.S. gallmin) gallons-U.S. per 24 hours (U.S. gpd) (see table-pages 2-6 and 2-7) liters per second (Lls)
0.028 317 1.699 101.9 448.8 646 31 5 28.32
cubic centimeters (cm') cubic feet (ft3) 'cubic meters (m:') cubic yards (yd:') gallons-U.S. (U.S. gal) gallons-lmperlal (imp gal) 'liters (L) c u b ~ cInches (In') c u b ~ cfeet (ftl) c u b ~ cyards (yd3 gallons-U S (U S gal) gallons-lmper~al (Imp gal) l ~ t e r s(L)
'cublc meters per hour (miih)
c u b ~ cmeters per mlnute (m1:mln) 'cublc meters per second (mJ/s) gallons U S per mlnute (U S g l m ~ n ) l ~ t e r sper second (Lls)
'cubic meters per second (m3is)
'cubic meters per hour (m"ih) gallons U.S..per minute (U.S. gpm)
3 600 15 850
To convert from
To
cubic yards (yd.')
cubic centimeters (crn") cubic feet (ft") cublc Inches (ln3) 'cubic meters (mJ) gallons-Imperial (imp gal) gallons-U.S. (U.S. gal) liters (L)
degrees angular degrees per second (angular)
grade (gon) radians (rad) radians per second (radis) revolutions per minute (rlmln) revolutions per second (ris)
degrees (temperature)
(see temperature-page 8-26)
Multiply by 764 550 27 46 656 0.764 55 168.17 201.97 764.55
drams-avoir
grains (gr) *grams (g) ounces (02)
27.344 1.771 8 0.062 5
dynes
'newtons (N)
0.000 01
ergs
'joules (J)
0.000 000 1
fathoms
feet (ft) 'meters (m)
feet (ft)
centimeters (cm) inches (In) 'meters (m) yards (yd)
feet of water (ftH,O) at 68'F
atmosphere (standard) (atm) bars (bar) Inches of mercury at P C (1nHg) k~lograms-forceper square cent~meter (kgflcm') 'k~lopascals(kPa) pounds-force per square Inch (Ibfl~n') (PSI) pounds-force per square foot (Ibflft')
feet per mlnute (ftirn~n)
centlmeters per second (cmls) krlometers per hour (krn,h) meters per m ~ n u t e(rnirnln) 'meters per second (mls) m ~ l e sper hour (rnph)
feet per second (ftls)
centimeters per second (cm!s) k~lometersper hour (krnih) meters per m ~ n u t e(mlmin) 'meters per second (mls) miles per hour (mph)
CONVERSION FACTOR DATA
INGERSOLLRAND CAMERON HYDRAULIC DATA General Conversion Factors (Continued)
General Conversion Factors (Continued)
'Indicates preferred SI system units
'Indicates preferred SI system units
To convert from
To
I
Multlply by
feet per second squared (ftis-)
centlmeters per second squared (cm:s2) 'meters per second squared (mls')
30 480 0 304 80
foot-pounds-force (ft Ibf)
B r ~ t ~ sthermal h unlts (Btu) (see note) calor~es horsepower hours (hp h) 'joules (J) k~localories(kcal) k~logram-forcemeters (kgf m) k~lowatthours (kW h)
0 001 285 0 323 8 0 000000 505 0 1 355 8 0 000 323 8 0 138 25 00000003766
foot candle
'lumen per square meter (lux)
10 764
gallons (U S ) (gal)
c u b ~ ccentlmeters (cm') ' c u b ~ c meters (m') c u b ~ cInches (Ini) c u b ~ cfeet (ft') cublc yards (yd3 p ~ n t s - l ~ q u ~(pt) d quarts-liqu~d (qt) gallons-lmper~al (Imp gal) 'Ilters (L) pounds of water at 60 F
To convert from
To
Multiply by
grams (g)
grains (gr) ounces-avoir (02) pounds-avoir (Ib)
grams-force (gf)
'newtons (N)
0.009 806 6
grams-force per centimeter (gflcm)
'newtons per meter (Nim) pounds-force per inch (Ibfl~n)
98.07 0.005 600
grams per cubic centimeter (gicm ')
'k~logramsper cubic meter (kglm:') poun,ds per cubic inch (Ibiin") pounds per cubic foot (Ibift:')
0.001 0.036 13 62.427
'grams per liter (gi'-)
grains per U.S. gallon (grlU.S. gal) parts per million (ppm) by mass weight In water pounds per cubic foot (Ib/ft7) pounds per 1000 U.S. gallons
58.417
hectares (ha)
acres square feet (ft") 'square meters (m')
horsepower (hp)
British thermal units per minute (see note) (Btu)lmin) foot-pounds force per minute (ft.Ibfimin) foot-pounds force per second (ft.Ibfis) kilocalories per minute (kcalimin) 'kilowatts (kW) horsepower-metric 'watts (W)
-
gallons (Imperial)
c u b ~ ccentlmeters (cm') ' c u b ~ cmeters (mi) c u b ~ cfeet (ft') c u b ~ cyards (ydl) gallons U S (U S gal) 'I~ters(L) pounds of water at 62 F
gallons (U S ) per mlnute (U S gPm)
' c u b ~ c meters per second (miis) 'cublc meters per minute (m'lrn~n) 'cublc meters per hour (m'ih) c u b ~ cfeet per second (ft'is) c u b ~ cfeet per hour (ft3/h) 'I~tersper second (Lls)
gralns (gr)
gralns per gallon (U S ) (gr U S gal)
gralns per gallon (Imper~al)
'grams (g) ounces-avolr
horsepower-boiler
(oz)
grams per cublc meter ( g ~ m ' ) 'k~logramsper cublc meter (kg m ' ) parts per m ~ l l ~ o byn w e ~ g h tIn water (ppm) pounds per m ~ l l ~ ogallons n
17 118 0017118 17 118 142 9
grams per cublc meter ( g ~ r n ' ) 'k~logramsper cublc meter (kg m') parts per m ~ l l ~ obyn w e ~ g h tIn water (ppm)
14 25 0 014 25 14 25
British thermal units per hour (see note) (Btuih) kilowatts (kW) pounds of water evaporated per hour at 212°F
horsepower hours (h~.h)
British thermal units (Btu) foot-pounds-force (ft.Ibf) 'joules (J) kilocalories (kcal) kilogram-force-meters (kgf. m) 'kilowatt-hours (kW. h)
inches (in)
centimeters (cm) 'meters (m) 'mill~meters(mm)
1 000 0.062 242 7 8.354 4
42.43 33 000 550 10.69 0.745 7 1.013 9 745.7
33 479 9.809 5 34.5
2.540 0.025 40 25.40
INGERSOLLRAND
CAMERON HYDRAULIC DATA
CONVERSION FACTOR DATA
General Conversion Factors (Continued)
General Conversion Factors (Continued)
'Indicates preferred SI system units To convert from
To
~ n c h e sof mercury (inHg) at P C
atmospheres (standard) (atm) bars (bar) feet of water (ftH,O) at 68°F inches of water (inH,O) at 68°F kilograms-force per square centimeter (kgflcm') kilograms-force per square meter (kgflm') 'kilopascals (kPa) m~llimetersof mercury (mmHg) pounds-force per square foot (Ibf/ft2) pounds-force per square inch (Ibfiin" (psi)
inches of water (inH,O) at 68°F
'joules (J)
'Indicates preferred SI system units Multiply by 0.033 42 0.033 864 1.135 13.62 0.034 532 345.32 3.386 4 25.40 70.73 0.491 2
atmosphere (standard) (atm) bars (bar) inches of mercury (inHg) at P C kilograms-force per square centimeter (kgf/cm2) 'kilopascals (kPa) ounces-force per square inch (ozf/in2) pounds-force per square foot (Ibf/ft2) pounds-force per square inch (Ibflin) (psi)
To convert from
(see temperature-page 8-26)
'kilograms (kg)
pounds (Ib) tons (ton) short
2.204 6 0.001 102 3
kilograms-force (kgf
'newtons (N) pounds-force (Ibf)
9.806 6 2.204 6
kilograms-force per meter (kgfim)
'newtons per meter (Nim) pounds-force per foot (Ibfift)
9.806 6 0.672 1
ktlograms-force per square centimeter (kgficm')
atmospheres (standard) (atm) bars (bar) feet of water (ftH,O) at 68°F inches of mercury (1nHg) at O'C 'kilopascals (kPa) pounds-force per square foot (Ibfift') pounds-force per square inch (Ibf/inY)(PSI)
0.967 8 0.980 66 32.87 28.96 98.066 2 048 14.223
kilograms-force per square millimeter (kgfimmL)
kilograms-force per square meter (kgflm') 'megapascals (MPa)
1 000 000 9.806 6
Multiply by
'k~lometers(km)
feet (ft) miles (mi)
kilometers per hour (kmih)
centimeters per second (cmis) feet per second (ftls) feet per minute (ftimin) international knots (kn) meters per minute (mlmin) 'meters per second (mls) miles per hour (mph)
k~lometersper hour per second (km/h s)
centimeters per second squared (cm/sL) !eet per second squared (ftisL) meters per second squared (mlsL)
kilometers per second (kmis)
miles per mlnute ( m ~ l m ~ n )
'kilopascals (kPa)
dynes per square centimeter (dy/cmL) feet of water (ftH,O) at 68°F inches of mercury (inHg) at 32°F lnches of water (inH,O) at 68°F kilograms-force per square centimeter (kgf/cm2) pascals (Pa) (or newtons per square meter (N/m2) pounds-force per square inch (Ibfl~n" (PSI)
10 000 0.335 I 0.295 3 4.021
k!loponds
'newton (N) k~lograms-force(kgf) pounds-force (Ibf) poundals klps
9.807 1 2.204 6 70.932 0.002 205
klps (1000 Ibf)
'newton (N) kilogram-force (kgf) pounds-force (Ibf) poundal k~lopond
4 448 453.6 1 000 32 174 453.6
kips per square ~ n c h(ksi)
'kilopascals kilograms-force per square centimeter (kgficm') bars (bar) pounds per square inch (psi)
'kilowatts (kW)
British thermal units per minute (Btulmin) foot-pounds-force per minute (ft.Ibfirnin) foot-pounds-force per second (ft.lbls) horsepower (hp) kilocalories per mlnute (kcallmin)
British thermal units (see note) calories (cal) (thermochemical) foot-pounds-force (ft.Ibf) watt-hours ( W . h)
kelvin (K)
To
0.01 0 197 I 000 0.145 0
INGERSOLLRAND
CAMERON HYDRAULIC DATA
CONVERSION FACTOR DATA
General Conversion Factors (Continued)
General Conversion Factors (Continued)
'Indicates preferred SI system units
'Indicates preferred SI system units
To convert from
To
To convert from
Mult~plyby
I
To
I
Multiply by
'meters per second (mis)
feet per minute (ftlmin) feet per second (ftis) kilometers per hour (kmlh) kilometers per minute (kmlmin) miles per hour (mph) miles per minute (milmin)
0.514 4 1.151 6
'micrometers (formerly microns)
'meters (m)
cubic centimeters (cm,') cubic feet (ftR) cubic inches (in3) cubic meters (m3) cubic yards (yd3) gallons U.S. (U.S. gal) gallons Imperial (imp gal)
1 000 0.035 31 5 61.024 0.001 0.001 308 0.264 18 0.220 0
mills (0.001 inches)
'millimeters (mm)
0.025 4
miles
feet (ft) 'kilometers (km) 'meters (m) yards (yd)
5 280 1.609 3 1 609.3 1 760
'liters per minute (Llmin)
cubic feet per second (ft3is) 'liters per second (Lis) gallons (U.S.) per second (U.S. galls) gallons (U.S.) per minute (US. gallmin) gallons (Imperial) per min (imp galimin)
0.000 588 5 0.016 67 0.004 403 0.264 18 0.003 666
miles per hour (mPh)
centimetars per second (cmis) feet per minute (ftimin) feet per second (ftls) international knots (kn) 'kilometers per hour (kmih) 'meters per minute (mlmin)
44.70 88 1.466 7 0.869 0 1.609 3 26.82
*liters per second (Lls)
cubic meters per second (mVs) cubic meters per minute (mymin) cubic meters per hour (myh) liters per minute (Llmin) gallons (U.S.) per minute (U.S. gallmin) gallons (Imperial) per minute (imp gal)
0.001 0.06 3.600 60 15.85 13.20
milligrams per liter (mglL)
parts per million (ppm)
1.O
'm~llimeters(mm)
inches (in)
0.039 370
m~llimetersof mercury at O C (mmHg)
bars (bar) feet of water at 68°F Inches of mercury (inHg) inches of water (68°F) k~logramsper square centimeter (kg/cm2) 'pascals (Pa) pounds per square inch (psi)
0.001 333 2 0.004 680 0.039 37 0.536 16 0.001 359 5 133.32 0.019 336 8
million gallons per day
(see table pages 2-6 and 2-7)
miner's inch
(see page 2-6)
minutes, angular
radlans (rad)
'newtons (N)
dynes (dyn) k~lograms-force(kgf) poundals pounds-force (Ibf)
kilowatt hours (kW.h)
British thermal units (Btu) (see note) foot-pounds-force (ft. Ibf) horsepower hours ( h p . h) 'joules (J) kilocalories (kcal) kilogram-force meters (kgf. m)
3 413 2 655 000 1.341 0 3.600 000 860 367 100
knots (international)
'meters per second (mis) miles per hour (mph)
'liters (L)
'megapascals (MPa)
'meters (m)
'meters per minute (mlmin)
kilograms-force per square m~llimeter (kgflmm2) kilograms-force per square centimeter (kgficm2) 'kilopascals (kPa) 'pascals (Pa) pounds-force per square inch (IbfilnL) (psi) feet (ft) inches (in) yards (yd) centimeters per second (cmls) feet per minute (ftlmin) feet per second (ftls) kilometers per hour (kmih) miles per hour (mph)
+
i. I
i
i
0.101 97 10.197 1 000 1 000 000 145.0
196.8 3.281 3.600 0.060 0 2.237 0.037 28
i
0.000 290 9
CONVERSION FACTOR DATA
INGERSOLLRAND CAMERON HYDRAULIC DATA General Conversion Factors (Continued)
General Conversion Factors (Continued)
'Indicates preferred SI system units
'Indicates preferred SI system units
To convert from ounces-avoir (oz)
ounces-U.S.
fluid
To
pounds per square foot (Ib/ft2)
'kilograms per square meter (kg/m2)
4.882 4
pounds-mass of water at 60°F
cubic centimeters (cm3) cubic feet (ft") cubic Inches (in3) gallons (U.S.) (U.S. gal) liters (L)
pounds of water per minute at 60°F
cubic centimeters per second (cm3/s) cubic feet per second (ftys) (cfs) 'cublc meters per minute (in3/min) 'kilograms per second (kg/?.)
7.566 7 0.000 267 5 0.000 453 98 0.007 559 9
pounds per cublc foot (Iblft")
grams per cubic centimeter (g/cm3) 'kilograms per cubic meter (kg/m3) pounds per cubic inch (lb/in3)
0.016 018 16.018 0.000 578 7
pounds per cubic inch (lb/in3)
grams per cubic centimeter (g/cm3) 'kilograms per cubic meter (kg/m3) pounds per cubic foot (Ib/ft3)
27.68 27 680 1 728
0.010 197
pounds-force per foot (Ibflft)
0.000 010 197 0.101 97 0.001 1.O 0.000 145 0
grams-force per centimeter (gficm) kilograms-force per meter (kgflm) 'newtons per meter (N/m)
14.882 1.488 2 14.594
pounds-force per square foot (Ibflft-)
feet of water (ftH,O) at 68°F k~lograms-forceper square centimeter (Kgf crn2) 'k~lopascals(kPa) 'pascals (Pa) pounds-force per square Inch (Ibf/ln2)(PSI)
0 016 05
pounds-force per square Inch (Ibf/ln2)(PSI)
atmospheres (standard) (atm) feet of water (ftH20)at 68°F lnches of water (1nH2O)at 68°F Inches of mercury (1nHg) at 0°C k~lograrns-forceper square centlmeter (kgf cm2) 'k~lopascals(kPa)
0 068 05 2 311 27 73 2 036
quarts-dry (qt dry)
cublc cent~meters(cm') cublc ~nches(~n') 'cublc meters (m3)
1101 2 67 20 0 001 101 2
quarts-liquid (qt liquld)
cubic centimeters (cm,') cubic lnches (1n3) 'liters (L)
radians (rad)
degrees (") angular
1.804 6 0.029 57
grains per U.S. gallon at 60°F (gr/U.S, gal) grains per imperial gallon at 62°F (griimp gal) grams per cubic meter (g/m" at 15°C 'milligrams per liter (mgIL) pounds per million U.S. gallons at 60°F
poise
1.488 2
cubic inches (in3) 'liters (L)
parts per million by mass (ppm)
'pascals (Pa)
'kilograms per meter (kglm)
16 437.5 28.349 5 0.028 350 0.062 50 0.000 027 90 0.000 028 350
grams-force per square centimeter (gf/cmL) 'pascals (Pa) pounds-force per square inch (Ibf/inL)(psi)
bars (bar) dynes per square centimeters (dyn/cm2) grams-force per square centimeter (gf/cmL) kilograms-force per square centimeter (kg/cm2) kilograms-force per square meter (kg/m2) 'kilopascals (kPa) 'newtons per square meter (N/m2) pounds-force per square inch (Ibf/in2)(psi) (see viscosity tables-page 4-25 to 4-28) centipoises (CP) 'pascal second (Pa,s) pound-force-seconds per square foot (Ibf ,siftL) pounds per foot second (Ib1ft.s)
Multiply by
pounds per foot (Iblft)
drams-avoir (dr) gralns (gr) 'grams (g) 'kilograms (kg) pounds-avoir (Ib) tons (ton) long 'tonnes (t) metric ton
ounces-force per square inch (ozf/inL)
To
To convert from
Multiply by
0.000 01 10.0
100 0.100 0 0.002 088 6 0.067 21
poundals
'newtons (N) (joules per meter)
0.138 26
pounds-force (Ibf)
kilograms-force (kgf) 'newtons (N)
0.453 59 4.448 2
pounds-avoir (Ib)
drams-avoir (dr) grains (gr) 'grams (g) 'kilograms (kg) ounces-avoir (02) 'tonnes-metric tons (t) tons-long tons-short
256 7 000 453.59 0.453 59 16 0.000 453 59 0.000 446 43 0.000 5
I
0 000 488 2 0 004 788 0 47 880 0 006 944 4
0 070 31 6 894 8
57.296
CAMERON HYDRAULIC DATA
INGERSOLLRAND
CONVERSION FACTOR DATA
General Conversion Factors (Continued)
General Conversion Factors (Continued)
'Indicates preferred SI system units To convert from
To
'Indicates preferred SI system units Multlply by
To convert from
To
rad~ansper second (radls)
degrees per second ( s) angular revolut~onsper mlnute (rlmln)
57 296 9 549
'tonnes-metric ton
'kilograms (kg) pounds (Ib)
revolut~onsper minute (rlrn~n)
degrees per second r a d ~ a n sper second (radls)
6 0 014 72
tons-short
square centlmeters (crn')
square inches (in )
01550
'kilograms (kg) pounds-avoir (Ib) tons-long tonnes (metric ton) (t)
square feet (ft')
acres 'square meters (m')
tons (short) of water per 24 hours (at 60°F)
square Inches (in')
square cent~meters(crn')
c u b ~ cfeet per hour (ftvh) cubic meters per hour (m3!h) gallons (U.S.) (U.S. g a l i m ~ n ) pounds of water per hour (IbH,O!h) at 60°F
square k~lorneters (km')
acres square m ~ l e s
tons of refr~geratlon
B r l t ~ s hthermal unlts (Btu) (see note) per hour Brltlsh thermal u n ~ t s(Btu) (see note) per 24 hours
'square meters (mL)
acres square feet (ft')
square miles
acres square kilometers (krn')
square yards (yd')
acres 'square meters (m-)
standard cubic feet per rn~nute (scfm) (at 14 696 psia and 60°F)
cublc meters per hour (m'lh) at standard cond~tions(15°C and 101 325 kPa) l ~ t e r sper second (Lls) at standard condit~ons(15'C and 101 325 kPa)
stokes
6.451 6
'degrees Ceis~us('C), C
'degrees Celsius ( C) degrees Fahrenheit ('F)
degrees Fahrenheit ('F) F = 9 5 C 'kelvin (K) K = 5 9 ('F + 459 67) 'kelvin (K) K
=
'C
'kelvln (K) K
=
'R 1 8
degrees Fahrenheit (OF)
degrees Rankine ( R) R
t
=
0 471 03
'k~lograms(kg) metrlc tons (1) pounds-avoir (Ib) tons-short
British thermal units (Btu) foot-pounds-force (ft . Ibf) horsepower hours ( h p . h ) 'joules (J) kilocalories (kcal) kilograms-force-meters (kgf. rn)
Yards (yd)
'meters (m)
+
F
-
1.338 0.037 89 0.166 8 83.333 12 000 288 000
0.914 40
NOTE: BRITISH THERMAL UNITS (Btu)-since there are several definitions of the Btu, the values of appl~cableand/or equivalent factors may vary slightly depending on the definition used. In the accompanying tables of conversion factors, the first three or four s~gnificantfigures given, in most cases, are common t o most definitions of the Btu; i f greater accuracy is requ~redfor certain calculations then reference to the appropriate handbooks and standards should be made.
32
273.15 =
I
Multiply by
0 001 076 0 000 1
459 67
for temperature conversion tables; i.e 'F to 'C and vice versa refer to pages 8-11 to 8-14 tons-long
watt-hours (W.h) 1 695 7
5 9 ("F - 32)
temperatures degrees Fahrenheit ( F)
^degreesCels~us('C)
British thermal units (Btu) per minute (Btuimin) foot-pounds-force per second (ft.lbf!s) foot-pounds-force per minute (ftdbfimin) horsepower (hp) joules per second (Jis) kilocalories per minute (kcallmin)
0 000 206 61 0 836 13
square feet per second (ft2S) 'square meters per second (mZs) (see viscosity tables-pages 4-25 to 4-28)
degrees Rank~ne( R)
'watts (W)
I
1 016.0 1.016 0 2 240 1.120
INGERSOLLRAND
CAMERON HYDRAULIC DATA
Metric Flow Formulas Velocity: V
Q A
4Q 77D2
velocity head: h, head: H
=
1,273,240 Q d"
- = - = --
v2
-
0.050 99 V2 = 2 gc 0.102 kPa 10.2 B = -=
s p gr
power required: P
=
21.22 q d2 0.082 66 Q2 22.958 q2 -
D4
d4
sP gr Q(!rPa) q(kPa) eff 60,000 x (eff)
1000 Vd - 1,273,240 Q 21,221 q k Dk dk fLV2 0.082 66 f L Q V 2 , 9 6 5 fLq2 Darcy friction formula: H, = -2 gcD D5 d5
Reynolds no.: R
VD v
= --
Hazen & Williams friction formula:
Symbols To be used only with formulas above on this page A
= cross sectional area of pipe-m2 B = pressure -bars = 100 kPa C = Hazen and Williams friction factor (see page 3-8) D = internal diameter of pipe-m d = internal diameter of pipe-mm eff = efficiency expressed as a decimal f = friction factor for Darcy formula (see page 3-11) g, = acceleration d u e t o gravity = 9.806 6 5 m/sec2 H = head in meters of liquid-m H I = friction loss in meters of liquid-m h, = velocity head in meters-m k = kinematic viscosity-centistokes = 0.000 001 m2/sec kPa = pressure -kilopascals L = length of pipe-meters-m P = power for pumping-kilowatts-kW Q = flow-m"/sec q = flow-liters per minute-Llmin R = Reynolds number s p g r = density -kg/L -kgldm"g/cm3 V = velocity of flow-mlsec v = kinematic viscosity-mLlsec = 1,000,000 centistokes
\
/
-
SECTION X
-
INDEX
1
INGERSOLLRAND-
INGERSOLLRAND CAMERON HYDRAULIC DATA *General lndex (A to 2)
*General lndex (A to 2)-(Continued)
Page Absolute (dynamic)viscosity-conversion tables . . . . . . . 4-25 to 4-28 Absolute (dynamic)viscosity to SSU (Saybolt Seconds Universal)-conversion tables . . . . . . . . . . . . . . . . . . . . . . 4-25 to 4-28 Acce!eration head- reciprocating pumps . . . . . . . . . . . . . . . . . . . 1-18 Acids-pump fittings for . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8-22 -sp gr and viscosity of . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4-37 1-30 Affinity laws . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8-4 Altitudes. barometric readings and atmospheric pressure . . . . . . . API to specify gravity conversion tables . . . . . . . . . . . . . . . . . . . 4-6 4-17 Aqueous solutions- specific gravity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9-4 Areas of circle. of plane and solid figures-formulas 8-4 Atmospheric pressures altitudes and barometric reading . . . . . . . . Automobile crankcase oils-viscosity of . . . . . . . . . . . . . . . . . . . . 4-28
Ballings-table of degrees (for sugar solutions) . . . . . . . . . . . . 4-13 8-7 Barometers. mercurial-corrections for . . . . . . . . . . . . . . . . . . . . . Barometric readings. atmospheric pressures and altitude . . . . . . . 8-4 Barrels-capacity of. for various liquids . . . . . . . . . . . . . . . . . . 2.4. 2-6 4-12 Baume to specific gravity conversion tables . . . . . . . . . . . . . . . . . . 5-42 Boiler. feeding requirements . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4-37 Boiling point of various liquids . . . . . . . . . . . . . . . . . . . . . . . . . . . 8-4 Boiling point of water a t altitudes . . . . . . . . . . . . . . . . . . . . . . . . Bourdon gages. use of . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8-17 1-27 Brake horsepower of a pump-formula for . . . . . . . . . . . . . . . . . . . 3-34 Brass tubing and pipe. friction losses in . . . . . . . . . . . . . . . . . . . . 8-10 Brass tubing and pipe-weight and dimensions . . . . . . . . . . 4-13 Brix- table of degrees (for sugar solution) . . . . . . . . . . . . . . . . 5-4 Btu (British thermal units)-definition of . . . . . . . . . . . . . . . . . .
C Page Check values-friction losses in . . . . . . . . . . . . . . . . . . . . . . . . . . . 3-114 Chemical liquids-pump fittings for . . . . . . 8-22 -sp gr and viscosity . . . . . . . . . . . . . . . . 4-37 Circles-areas of -formula . . . . . . . . . . . . . . . . . . . . . . . . . . . 9-4 3-4 Colebrook friction factor equations . . . . . . . . . . . . . . . . . . . . . . . . Conductorselectricproperties of . . . . . . . . . . . . . . . . . . . . . . 6-12 . . . 3.117. 3-118 Contractions in pipe-losses due to . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9-4 Conversion of units-English -general . . . . . . . . . . . . . . . . . . . . . . . . 9-14 to 9-27 . . . . . . . . . . . . . . . . . . . . . . . . . . 9-5 -metric Conversion tables . . . . . . . . . . . . . . . 9-14to9-27 Copper tubing-friction losses through . . . . . . . . . . . . . . . . . . 3-34 8-10 -weights and dimensions of . . . . . . . . . . . . . . . . Copper wire-data on . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6-14 1-29 Curves-pump characteristic . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . -system . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1-31 8-1 Cylinders -volume of in gallons . . . . . . . . . . . . . . . . . . . . . . . . . . .
Darcy-Weisback Friction formula . . . . . . . . . . . . . . . . . . . . . . . . . Decimal equivalents of fractions . . . . . . . . . . . . . . . . . . . . . . . . . Density of sugar solutions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Density of water . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Differential gages. use of . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Dilatant Liquid . . . . . . . . . . . . . . . . . . Discharge head . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Discharge over weirs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2.10. Driver for pumps Drums Dry pit pumps-intakes for
3-3 8-3 4-13 4-4 8-19 1-16 1-8 2.11 1-45 2-4 1-25
Calcium chloride-properties of . . . . . . . . . . . . . . . . . . . . . . . . . 4-10 Capacityhime units conversion tables . . . . . . . . . . . . . . . . . . . 2-6 . . . . . . 8-7 Capillarity-correction for. in mercury tube . . . . Cast iron and steel pipe flanges and flange fittings . . . . . . . . . . . 7-2 Cast iron fittings-dimensions . . . . . . . . . . . . . . . . . . . . 7-5 to 7-7 -weights . . . . . . . . . . . . . . . . . . . . . . . . . 7-3 to 7-4 Cavitation-reciprocating pump component damage . . . . . 1.43. to 1-45 Caustic soda-properties of . . . . . . . . . . . . . . . . . . . . . . . . . 4-11 Celsius to Fahrenheit conversion table . . . . . . . . . . . . . . . . . . 9-11 to 9-13 Centrifugal pump horsepower . . . . . . . . . . . . . . . . . . . . . . . . . . 1-27
Efficiencies of motors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6-5 Efficiencies of steam turbines . . . . . . . . . . . . . . . . . . . . . . . . . . 5-30 Electrical data (Section VI ) . . . . . . . . . . . . . . . . . . . . . . . . . . 6-2 Electrical formulas . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6-3 . . . . . . . . . . . 6-5 Electric motors-efficiencies of -motor characteristics . . . . . . . . . . . . . . . . . . . . 6-6 -torque of . . . . . . . . . . . . . . . . . . . . . . . . . . 6-4 -wiring for . . . . . . . . . . . . . . . . . . . . . . . . . . 6-9 Engine drivers for pumps 3.117. 3-118 Enlargements in pipe-losses due to Entrance losses for pipe 1.19. 3.116. 3-118
10-2
Index of L l q u ~ d s10-11 t o 10.15 .
'Index of Liquidspages 10-11t o 10-15
10-3
INGERSOLLUAND CAMERON HYDRAULIC DATA *General Index (A to Z)-(Continued)
E
Exit losses for pipe . . . . . . . . . . . . . . . . . . . . . . . 3-116 Equivalents of -flow . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2.6, 2.7 -Head and pressure . . . . . . . . . . . . . . 2-5 -volume and weight equivalents . . . . . . . . . . . . 2-4 2-4 Equivalents of weights and measures of water . . . . . . . . . . . . . .
Fahrenheit to Celsius conversion table . . . . . . . . . . . . . . . 9-11 to 9-13 3-3 Fanning formula . . . . . . . . . . . . . . . . . . . . . . . . . . . Fittings. cast iron-dimensions . . . . . . . . . . . . . . . . . . . . . . . . . 7-5 to 7-8 -weights . . . . . . . . . . . . . . . . . . . . . . . . . . 7-3 to 7-8 Fittings. steel-dimensions . . . . . . . . . . . . . . . . . . . . . . . . . 7.13. 7-14 8-22 Fittings for pumps handling various liquids . . . . . . . . . . . . . . . . . 7-3 to 7-7 Flanges. pipe -data on -iron . . . . . . . . . . . . . . . . . . . . . . -steel . . . . . . . . . . . . . . . . . . . . . . . . 7-8 to 7-15 -ratings . . . . . . . . . . . . . . . . . . . . 7-16 to 7-22 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Flowformulas-metric 9-28 Flow over weirs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2.10. 2.11 2.6. 2-7 Flow units conversion tables . . . . . . . . . . . . . . . . . . . . . . . . . . . Flow through orifices and nozzles . . . . . . . . . . . . . . . . . . . . . . 2.8. 2-9 8-3 Fractions -decimal equivalents of . . . . . . . . . . . . . . . . . . . . . . . . 2-10 Francis formula for flow over rectangular weirs . . . . . . . . . . 3-11 Friction factor vs Reynolds No . curves . . . . . . . . . . . . . . . . . . . Friction head loss- sample calculation . . . . . . . . . . . . . . . . . . . . . 3-9 3-3 Friction losses in pipe-general . . . . . . . . . . . . . . . . . . . . . . . . . . 3-12 Friction of water in steel and cast iron pipe . . . . . . . . . . . . . . . . . 3-34 Friction of water in smooth tubes . . . . . . . . . . . . . . . . . . . . . . . . . 3-48 Friction of viscous liquids in pipe . . . . . . . . . . . . . . . . . . . . . . . . 3-88 Friction of paper pulp stock in pipes . . . . . . . . . . . . . . . . . Friction of paper stock in fittings . . . . . . . . . . . . . . . . . . . . . . . 3-101 5-33 Friction of steam in pipes . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5-39 Friction of steam in pipe fittings . . . . . . . . . . . . . . . . . . . . . . . . 3-12 Friction of water in pipe . . . . . . . . . . . . . . . . . . . . . . . . . . . 3-34 Friction of water in copper tubing and brass pipe . . . . . . . . . . . . Friction of water in pipe fittings . . . . . . . . . . . . . . . . . . . . . 3-110 . . . . . . . . . . . . . . Friction of water in smooth tubing . . 3-34 Fuels oils-viscosity of . . . . . . . . . . . . . . . . . . . . . . . . . . . 4-30
Gages and U.tubes. use of . . . Gases. friction in pipes-formula
Page
Page
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
8-16 5-32
'Index of Llqulds pages 10-11 t o 10-15
Hardness scales-metals . . . . . . . . -minerals . . . . . . . Hazen and Williams friction formula Head on pump -discharge . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
8-15 4-51 3-7 1-8
Head measurement with gages . . . . . . . . . . . . . . . . . . . . . Head (pressure)equivalents . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Horsepower of a pump . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Hydraulics (Section 1 ) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Hydrocarbons -- specific gravity . . . . . . . . . . . . . . . . . . . . . . . . -vapor pressure . . . . . . . . . . . . . . . . . . . . . . . . . . . -viscosity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Hydrocarbon liquids -- NPSH corrections . . . . . . . . . . . . . . . . . . . Hygrometric chart . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
8-16 2-5 1-27 1-3 4-15 4-20 4-37 1-16 5-40
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . .
I Impeller specific speeds . . . . . . . . . . . Inch-decimal and millimeter equivalents . . . . Intake design-for pumps . . . . . . . . . . . . . . Irrigation table . . . . . . . . . . . . . . . . . . . . . .
Kinematic viscosity conversions
. . . . . . . .
1.19. 1-47 8-3 1-22 . . 2-12
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . .
4-25 to 4-28
Liquids-See special Index . . . . . . . . . . . . . . . . . . . . . . . 10-11to 10-14 Liquids-discussion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1-3 Liquids-friction in pipes . . . . . . . . . . . . . . . . . . . . . . . . . 3-3 . . . Liquids. miscellaneous (Section I V ) . . . . . . . . . . . . . . . . . . . . . . . 4-2 Liquids-pump fittings for . . . . . . . . . . . . . . . . . . . . . . . 8-22 to 8-28 Liquids-sp gr. viscosity and boiling points of . . . . . . . . . 4-37 to 4-46 Liquid types (Newtonian.Thixotropic. Dilatant) . . . . . . . . . . . . 1-5
Mass density-definition . . . . . . Materials for pumping various liquids 'Index of Llqulds pages 10-11 to 10-15
2-3 and 4-3
*General lndex (A to Z)-(Continued)
M
'General lndex (A to Z)-(Continued)
Page
. . . . . . . . . . . . . . . 9-4 Measures -- English . . . . . . . . . -equivalents of water . . . . . . . . . . . . . . . . . . . . . . . . . 2-4 -offlow . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2.6, 2.7 . . . . . . . . . . . . 2-5 -of head and pressure . . 9-5 -metric . . . . . . . . . . . . . . . . . . . . . . . . . . 8-7 Mercurial barometers, corrections for . . . . . . . . . . . . . . . . . . . . . Mercury gages-measurement of head with . . . . . . . . . . . . . . 8-18 8-22 Metals used in pumps to handle various liquids . . . . . . . . . . . . . . . . . . . . . . . . 8-16 Mercury-specific weight . . . . . Metric conversion tables . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9-6 Metric flow formulas . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9-28 8-3 Millimeter equivalents of fractions of an inch . . . . . . . . . . . . . 2-6 Miners inch-equivalents for . . . . . . . . . . . . . . . . . . . . . . Miscellaneous data (Section VIII) . . . . . . . . . . . . . . . 8-2 5-5 Mollier diagram for Steam . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Moody friction factor chart . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3-11 Motors. electric-efficiencies of . . . . . . . . . . . . . . . . . . . . . . . . 6-5 -characteristics . . . . . . . . . . . . . . . . 6-6 -dimensions . . . . . . . . . . . . . . . . . . . . . . . . . 6-18 to 6-28 -torque of . . . . . . . . . . . . . . . . . . . . . . . . 6-4 6-9 -wiring for . . . . . . . . . . . . . . . . . . . . . . . . . Motor oils. s p gr and viscosity of . . . . . . . . . . . . . . . . . . . . . . . . . 4-37 Motor speed chart . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6.16.6.17 Multiple pumps -intakes for . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1-23
Net Positive Suction Head ( N P S H ) . . . . . . . . . . . . . . . . . . . . . . 1.11. Net Positive Suction Head-Approximation Method . . . . . . 1-42 to Net Positive Suction Head corrections . . . . . . . . . . . . . . . . . . . . . . Net Positive Suction Head-reciprocating pumps . . . . . . . 1.17 . . . . Newtonian Liquid . . . . . . . . . . . . . . . . . . . . . . . . . . Nozzles -discharge of . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Nozzles -flow formula . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
1.42 1-45 1-16 1-42 1-5 2-9 2-8
Oil-friction of in pipes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Oil. s p gr and temperature relations of . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Oil. turbine-viscosity Oil-viscosity and temperature relations of . . . . . . . . . . . . . . . Oil-volume and temperature relations of . . . . . . . . . . . . . Orifices -flow formula . . . . . . . . . . . . . . . . . . . . . . . . . . .
3-48 4-14 4-29 4-31 4-36 2-8
.
09
P
Page
Paper pulp stock-friction of in pipe and fittings . . 3-88 to 3-103 -weights and volumes of . . . . . . 3-103 to 3-110 Parallel operation of pumps . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1-32 3-48 Petroleum oils-friction of ~npipes -- sp gr and temperature relations of 4-14 . . . . . 4-31 -viscosity and temperature relations of -volume and temperature relations of . . . . . . . . . . 4-36 7-5 Pipe. cast iron flanged-weight of . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1-19 and 3-116 Pipe-entrance losses for . . . . . . . . . . . . . . . . . 7-5 to 7-8 Pipe fittings-dimensions -friction losses in . . . . . . . . . . . . . . . . . . . . . . 3-110 7.3. to 7-4 -weights of . . . . . . . . . . . . . . . . . . . . . . . Pipe flanges-data on . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7-8 to 7-22 3-48 Pipe-friction of oil and other liquids . . . . . . . . . . . . . . . . . . . . . . 3-88 -friction of paper pulp stock in . . . . . . . . . . . . . . . . . . -friction of steam in . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5-33 3-12 -friction of water (other liquids of same viscosity) in . . . . . Pipe. steel-weights and dimensions . . . . . . . . . . . . . . . . . . . . 7-8 Plastic pipe-friction in . . . . . . . . . . . . . . . . . . . . . 3-34 Plungers-displacement . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8-13 Pressure conversion factors (and head) . . . . . . . . . . . . . . . 2-5 4-4 Properties of water . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Psychrometric chart 5-40 Pump characteristic curves 1-29 Pump drivers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1-45 Pump fittings for various liquids . . . . . . . . . . . . . . . . . . . . . . 8-22 to 8-28 Pump head and pressure . . . . . . . . . . . . . . . . . . . . . . . 1-9 Pump horsepower 1-27 1-32 Pump parallel and series operation 4-45 Pump performance with viscous liquids . . . . . . . . . . . . . . . . . . . Pump reciprocating performance . . . . . . . . . . . . . 1-35 Pump reciprocating pulsation analysis-na . 1-36 to 1-42 Pump system curves . . . . . . . . . . . . . . . . . . . . 1-31 Pump system head calculations . . . . . . . . . . . . . . . . 1.9. 1-31and 1-32 1-49 to 1-52 Pump specific speed charts . . . . . . . . . . . . . . . . . . . .
Rankine cycle turbine efficiencies Reciprocating pumps-performance Rectangular weirs. flow over Reynolds Number formulas Roughness parameters for pipe
5-30 1-35 2-10 1 5. 2.16. 3-6 and 9-28
'Index of L l q u ~ d page? i 10-11 to 10 l i
10-7
INGERSOLLRAND
CAMERON HYDRAULIC DATA
*General Index (A to 2)-(Continued)
INDEX OF LIQUIDS Page
Key
v
1
2 3 4
Velocity of flow in pipe-formula . . . . . . . . . . . . . . . . . . . . . 3-6 8-20 Vertical pumps-measurement of head . . . . . . . . . . . . . . . . . Vertical wet pit pumps-intake design . . . . . . . . . . . . . . . . . . . . 1-23 4-23 Viscosity -general information . . . . . . . . . . . . . . . . . . . . . . . . Viscosity of water . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4-4 4-25 t o 4-28 Viscosity conversions . . . . . . . . . . . . . . . . . . . . . Viscosity of -crankcase oils . . . . . . . . . . . . . . . . . . 4-28 -turbine oils . . . . . . . . . . . . . . . . . . . . . . . . . . 4-29 -fuel oils . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4-30 -petroleum oils . . . . . . . . . . . . . . . . . . . . . . . 4-31 . . . . . . . . . . . . . . . . . 4-32,437 -miscellaneous liquids -refrigerant liquids . . . . . . . . . . . . . . . . . . . . . . . 4-33 4-34 -sucrose solutions . . . . . . . . . . . . . . . . . . . . . . . 4-35 Viscosity blending chart . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4-45 Viscous liquids-pump performance with Volume equivalents . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2-4 Volume of tanks . . . . . . . . . . . . . . . . . . . . . . . . . 8-11. 8-12
*
Liquid Information
Boiling points Specific gravities Vapor pressures Viscosities Pump construction materials
Acetate sol\ enta-* Acetlc acld-1, 2, 4, ' Acetlc anhydride -* Acetone-1. 2, 3, 4. ' Acids-* Alcohol, allal-1, 2, 4, * Alcohol, butyl-1, 2, 4, ' Alcohol, ethyl-1, 2, 3, 4, * Alcohol, methyl-1, 2, 3, 4, ' Alcohol, propyl-1. 2. 4, Alum-* Alummum sulphate-2, 4, Ammonia, aqua-1, 2, 3, 4 , ' Ammonium bicarbonate-* Ammonium chloride-" Ammonium nitrate-* A
8-4 Water-boiling point a t altitudes . . . . . . . . . . . . . . . . . . . . . . . . . Water gages-measurement of head with . . . . . . . . . . . . . . . . . . 8-17 Water data . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4-4 Water gages and U-tubes, use of . . . . . . . . . . . . . . . . . . . . . . . 8-16 Water hammer . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1-34 4-4 Water -head conversion tables . . . . . . . . . . . . . . . . . . . . . . . . Water friction in pipe . . . . . . . . . . . . . . . . . . . . . . . . 3-3, 3-12 t o 3-48 4-4 Water -properties of . . . . . . . . . . . . . . . . . . . . . . . . Weights of cast iron pipe . . . . . . . . . . . . . . . . . . . . . 7-3 Weights of copper and brass tubing and pipe . . . . . . . . . 8-10 Weights-English equivalents . . . . . . . . . . . . . . . . . . . . . . . 9-4 . . . . . . . . . . 9-5 -metric equivalents . . . . . . . . . . Weir -discharge from rectangular . . . . . . . . . . . . . . . . . . . 2-10 2-11 -discharge from triangular . . . . . . . . . . . . . . . . Weisbach-Darcy friction formula . . . . . . . . . . . . . . . . . . . . . . . 3-3 Williams and Hazen formula for pipe friction . . . . . . . . . . . . . . . . 3-'7 Wire, copper -data on . . . . . . . . . . . . . . . . . . . . . . . . . . 6-14 Work performed in pumping . . . . . . . . . . . . . . . . . . . . . . . 1-27 ' I n d r x of Llquqds pages 10-11 t o 10-15
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Ammonlum phosphate-* Ammonium sulphate-" Anlline-1, 2, 4, ' Amllne hydrochloride-, Asphalt-2, 4, , Automotive olla-2, 4 Banum chloride-, Barlum nltrate-" Beer-2, 4, ' Beer uort-A Beet julce-' Beet pulp-" Benzene-1, 2, 4, Benz~ne-2. 4, ' Benzol-1 2. 4 . ' Blchlonde of HpBlack Ilquor-* Bleach -olutionb-*
*
Page No. s
4-37 t o 4-46 4-6 to 4-19 and 4-37 t o 4-46 4-19 to 4-23 4-23 to 4-35 and 4-37 t o 4-46 8-22 to 8-28 Blood-" Boiler feedwater-' Bone oil-2, 4 Boric acid-2 Brine solutions-2, 4 , * Brine, sea water-2, 4, " Bromine-1, 2, 4 Butane-1, 2, 4, * Calcium bisulfite-'+ Calcium chloride-4-9, 2, 4, " Calcium chlorate-* Calcium hypochlorite-" Calcium mag chloride-" Cane julce-A Carbol~cacld-1, 2, 4 Carbon blsulfide-1, 2. 3, 4. Carbon dloxlde-2. 3, 4 Carbonate of soda-* Carbon tetrachloride-1, 2. 3, 4, Castor 011-2. 4 Catsup-" Caust~cpotash-* Caustic soda-4-10, 2, 4, ' Cellulose acetate- * Chlna mood 011-2. 4 Chlorate of Ilme-" Chlor~deof lime-" Chlor~newater-" Chlorobenzene-' Chloroform-1. 2. 4 . ' Chrome alum-" Coconut 011-2, 1, * Condensate -" Cod 011-2. 4 Copperas, .peen-*
*
CAMERON HYDRAULIC DATA INDEX OF LIQUIDS Key
Liquid Information
Page No.s
1 2 3 4
Boiling p o i n t s Specific g r a v i t i e s Vapor p r e s s u r e s Viscosities Pump construction materials
4-37 t o 4-46 4-6 t o 4-19 a n d 4-37 t o 4-46 4-19 t o 4-23 4-23 t o 4-35 a n d 4-37 t o 4-46 8-22 t o 8-28
*
Copper am acetate-Copper chloride-" Copper nltrate-" Copper sulfate-* Corn 011-2, 4 Corn starch sol-2, 4 Cotton seed 011-2, 4 Creosote-2, 4, Cresol, meta-" Crude 011-2, 4, " Cyanide-' Cyanogen-" A
Decane-1, 2, 3, 4 Diethylene glycol-2. 4 Diethyl ether-1, 2, 4 Diesel fuel-2, 4. * Diphenol-* Enamel-' Ethane-2. 3 Ethanol-' Ether-2, 3 Ethyl acetate-1, 2, 3 Ethyl bromide-1, 2, 4 Ethylene-1, 2, 3 Ethylene bromide-1, 2, 4 Ethylene chloride-1, 2, 4, Ethylene glycol-2, 4 Ferric chloride- * Ferric sulphate-* Ferrous chloride-" Ferrous sulphate-" Formaldehyde-" Formic acid-2. 4
Lead acetate-* Lead, molten-* Lime water-* Linseed oil-2, 4 Liquor, pulp mill--* Lithium chloride-* Lye caustic-*
Freon-2. 3, 4 Fruit juices-' Fuel oils-2, 4 Furfural-1, 2, 4,* Gas oils-2, 4 Gasoline-2, 3, 4, " Glaubers salt-" Glucose-2, 4, " Glue-* Glue sizing-" Glycerine-1, 2, 4, * Green liquor-" Heal y qater-2 Heptane-1, 2, 3, 4, ' Hexane-1, 2, 3, 4 Honey-4 Hydrocarbons-2, 3 Hydrogen peroxide-" Hjdrogen sulfide-' Hydrosulfite of soda-'
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Naphtha- * Naphthalene-1, 2, 4 Neatsfoot 011-2, 4 Nicotine sulfate-" Nitre-" Nitre cake-* Nitre ethane-" Nltrobenzene -1, 2, 4 Nltro methane-" Nonane-1, 2, 3, 4
Industrial lubl-icants-4 Ink-2, 4 3 Iso-butane-" Iso-pentnne-2. 3 Insulating 011-4 Jet fuel-2. Kaolin hlip-' Kerosene-2.
-1
Octane-1, 2, 3, 4 Oils-4, * Olive oil-1, 2, 4 , "
4, '
Lard-2. 4, * Lard oil-2. 4
Magnesium chloride-" Magnesium sulfate-* Manganese chloride-* Manganese sulfate- * Mash-* Menhadden oil-2, 4 Mercuric chloride-* Mercuric sulfate- * Mercurous sulfate-* Mercury-1, 2, 4, 7-26 Methyl acetate-1, 2, 4 Methyl chloride-2, 3, 4, Methyl iodide-1, 2, 4 Methylene chloride-* Milk-2, 4, * Milk of lime-* Mine water-" Miscella-Molasses-2, 4, ' Mustard -"
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Palm oil-2, 4, * Parafin- * Peanut oil-2, 4
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Pentane-2, 3, 4 Perhydrol-* Peroxide of hydrogen-* Petrolatum-2, 4 Petroleum ether-2, 4, * Petroleum oils-4, * Phenol-1, 2, 3, 4, * Pink liquor-" Photo developer-* Plating solutions -* Potash-* Potash alum-* Potassium bichromate -* Potassium carbonate-* Potassium chlorate-* Potassium chloride- * Potassium cyanide-* Potassium hydroxide-* Potassium nitrate-* Potassium sulfate- * Propane-2, 3, * Propionic acid-1, 2, 4 Propylene-3 Propylene glycol-2, 4 Pyridine- * Quenching oil-2,
4,
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Rapeseed oil-2, 4, * Refrigerant liquids-2, Rhidolene-* Rosin-" Rosin oil-2, 4 Sal ammoniac- * Salt lake-* Salt water-* Sesame seed oil-2. 4 Sewage-* Shellac-* S11ver nitrate-* Slop-x Soda ash-* Sodium bicarbonate- * Sodium hisulfate-Sodium carbonate- *
3, 4
INGERSOLLRAND
CAMERON HYDRAULIC DATA
INDEX OF LIQUIDS Key
Liquid Information
Page No.s
1 2 3 4
Boiling points Specific gravities Vapor pressures Viscosities Pump construction materials
4-37 to 4-46 4-6 to 4-19 and 4-37 to 4-46 4-19 to 4-23 4-23 to 4-35 and 4-37 to 4-46 8-22 to 8-28
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Sodium chlorate-* Sodium chloride-4-9, 2, 4, * Sodium cyanide -* Sodium hydroxide-2, 4, * Sodium hydrosulfite -* Sodium hypochlorite-* Sodium hyposulfite-* Sodium meta silicate-* Sodium nitrate-" Sodium phosphate -* Sodium plumbite-" Sodium sulfate -* Sodium sulfide -* Sodium sulfite -* Sodium thiosulfate -* Soya bean oil-2, 4, * Sperm oil-2, 4 Stannic chloride- * Stannous chloride-* Starch -* Strontium nitrate- * Sugar solutions, 4-12, 2, 4, * Sulfite liquor-" Sulfur-1, " Sulfur chloride-* Sulfur dioxide-2, 3, 4 Sulfuric acid-2, 4 Sulfurous acid-2, 3 Tallow-* Tanning liquors-" Tar-2, 4, * Tar & ammonia-" Tetrachloride of tin-" Tetraethyl of lead-"
Toluene-1, 2, 3, 4, * Trichloroethylene-" Triethylene glycol-2, 4 Turbine oils -4 Turpentine-1, 2, 3, 4, *
Varnish-2, 4 * Vegetable juice-" Vinegar- * Vi trio1-* Water, 4-3, 3 Water, boiler feed-" Water, make up-* Water, distilled-2, 4, * Water, fresh-2, 4, * Water, heavy -2 Water, mine--* Water, salt & sea-2, 4, " Whale oil-* Whiskey -* White liquor-" White water-* Wine--* Wood pulp-stock -*' Wood vinegar-* wort *
Yeast-" Zinc chloride-* Zinc sulfate-*