# Pacific Pump and Power

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1 Pacific Pump and Power Nukuawa Street Kapolei, Hawaii Phone: (808) or (800) Fax: (866) Web: Table of Contents Pumps and Generators Rentals * Sales * Service * Operations (808) Web: (808) Water Data and Formulas... 1 Convert Flow (GPM) to Velocity (Feet/Second) in Various Pipe... 2 Suction, Head, Vapor Pressure Flow Calculation by Measuring Horizontal Pipe Discharge Flow Calculation by Measuring Vertical Pipe Discharge... 5 Flow Calculation from a Nozzle 6 Weir Discharge 7 Volume in a Tank 8 Capacity of Square Tanks. 9 Pressure and Equivalent Feet Head of Water. 10 Feet Head of Water and Equivalent Pressure. 11 Theoretical Horsepower Required to Raise Water to Different Heights. 12 Engineering Data 1 13 Engineering Data 2 14 Engineering Data 3 15 Engineering Data 4 17 Water Requirements 17 Gravity Sewer Line Bypass: Flow & Pump Sizing Chart Disclaimer Pacific Pump and Power Inc. accepts no responsibility for any losses or damage or other matters arising from the use of this information. The use of information and advice contained is used solely at the risk of the user.

2 Water Data and Formulas 1 gallon water = 231 cubic inches = pounds 65 F) 1 pound of water = cubic inches 65 F) 1 cubic foot water = 7.5 gallons = 62.4 pounds (salt water weighs approximately 64.3 pounds per cubic foot) Pounds per square inch at bottom of a column of water = height of column in feet x F) 1 miner's inch = 9 to 12 gallons per minute Horsepower to Raise Water Horsepower = gallons per minute x Total Head in Feet 3960 (if pumping a liquid other than water, multiply the gallons per minute by the liquids specific gravity) Gallons Per Minute through a Pipe GPM = x Pipe Diameter inches 2 x Feet / minute water velocity Weight of Water in a Pipe Pounds Water = Pipe Length feet x Pipe diameter inches 2 x 0.34 Gallons per Minute of a Slurry GPM Slurry = GPM Water + 4 x Tons of per hour of solids Specific Gravity of Solids Cost to Pump Water - Electric \$ per hour = GPM x Head in feet x x Rate per KWH 3960 x Pump Efficiency x Electric Motor Efficiency (70% Pump & 90% Motor Efficiency are good averages) Cost to Pump Water - Gasoline and Diesel \$ per hour = GPM x Head in feet x K x \$ per gallon fuel 3960 x Pump Efficiency K = for gasoline or for diesel (K is actually gallons of fuel per horsepower) (70% Pump Efficiency is a good average value) Optimum Flow Rate for Water Optimum flow rate for water in a cylindrical pipe is less than 10 feet per second. Usually Godwin recommends 6 feet per second as a maximum flow with entrenched solids. Page 1

3 Convert Flow (GPM) to Velocity (Feet/Second) in Various Pipe GPM Pipe Diameter (Inches) Velocity in feet per second = x USGPM (diameter of pipe in inches) 2 Page 2

4 Suction, Head, Vapor Pressure Water Vapor Suction Lift or Altitude in Feet Temp F Pressure ft water ft water ft water ft water ft water ft water ft water ft water ft water ft water ft water ft water ft water ft water ft water ft water ft water 13.5 Note: Positive values indicate suction lift, negative values indicate suction head. Page 3

5 Flow Calculation by Measuring Horizontal Pipe Discharge X D Pipe 4 inch Y X Distance Gallons per Minute Discharge for a given Nominal Pipe Diameter D (Inches) Inches 1 1-¼ 1-½ 2 2-½ When brink depths are greater than 0.5D, the more general purpose Purdue pipe method developed by Greve (1928) should be used, rather than the California pipe method. The Purdue method applies equally well to both partially and completely filled pipes. The Purdue method consists of measuring coordinates of the upper surface of the jet as shown above. If the water in the pipe is flowing at a depth of less than 0.8D at the outlet, the vertical distance, Y, can be measured at the end of the pipe where X = 0. For higher rates of flow, Y, may be measured at horizontal distances, X, from the pipe exit of 6, 12, or 18 inches. The most accurate results will be obtained when the pipe is truly horizontal. If it slopes upward, the indicated d discharge will be too high. h If it slopes downward, d the indicated d discharge will be too low. Page 4

6 Vertical Pipe Discharge H D Pipe The following formula is an approximation of the output of a vertical pipe. GPM = H x K x D 2 x GPM = gallons per minute H = height in inches D = diameter of pipe in inches K = constant from 0.87 to 0.97 for diameters of 2 to 6 inches and height (H) up to 24 inches Example: K = 0.97, 6 inch diameter with 10 inch height 626 GPM Lawrence and Braunworth (1906) noted that two kinds of flow occur from the end of vertical pipes. With a small rise of water (up to 0.37d ) above the end of the pipe, the flow acts like a circular weir. When the water rises more than 1.4d, jet flow occurs. When the rise is between these values, the mode of flow is in transition. When the height of the jet exceeded 1.4d 14d, as determined by sighting over the jet to obtain the maximum rise, the discharge is given by: Q = 5.01d 1.99 h 0.53 where: Q = rate of flow, gallons per minute d = inside diamter of the pipe, inches h = height of jet, inches When the rise of water above the end of the pipe is less that 0.37d, discharge is given by: Q = 6.17d 1.25 h 1.35 Page 5

7 Flow Calculation from a Nozzle Nozzle Discharge Nozzle Pressure Gallons per Minute Discharge for a given Nozzle Diameter (Inches) lbs/sq in 1/16 ⅛ 3/16 ¼ 5/16 ⅜ 7/16 ½ 9/16 ⅝ ¾ ⅞ 1 1-⅛ Note: The above discharge rates are theoretical. Actual values will only be 95% of the above values, depending on such factors as shape of the nozzle, bore smoothness, etc. Page 6

8 Weir Discharge W Height of water flow H A Head GPM for Width of Weir in Feet GPM/Foot over Inches Feet Wide Based on the Francis formula: Cu ft/sec water = 3.33 (W 0.2 H) H 1.5 H = Height in feet W = Width in feet Distance A should be at least 3 H Page 7

9 Volume in a Tank D The following equation can be used to calculate the Use the formula: Ratio = H / D and then the following table in order to calculate the Depth Factor. Ratio Depth Factor Ratio Depth Factor Gallons Remaining = Depth Factor x Total Tank Gallons H Page 8

10 Capacity of Square Tanks Contents in Gallons for Depth of Feet Dimensions (Ft.) 1' 4' 5' 6' 8' 10' 11' 12' 4 x x x x x x x x x To find the capacity of a depth not given, multiply the capacity for one foot by the required depth in feet. Page 9

11 Pressure and Equivalent Feet Head of Water Fresh Water Salt Water Lb. per Sq. In Feet Head Lb. per Sq. In Feet Head Page 10

12 Feet Head of Water and Equivalent Pressures Fresh Water Salt Water Feet Head Lb. per Sq. In Feet Head Lb. per Sq. In Page 11

13 Theoretical Horsepower Required to Raise Water to Different Heights Feet GPM Page 12

14 Engineering Data 1 One horsepower = 33,000 ft. pounds per minute Cubic feet per second = Gallons per Minute 449 Cubic feet per minute = Gallons per Minute 7.48 Theoretical water horsepower = USGPM x Head in Feet x Sp. Gr Theoretical water horsepower = USGPM x Head in Pounds 1714 Velocity in feet per second = x USGPM = 32 x GPM (diameter of pipe in inches) 2 pipe area One acre foot = US Gallons 1,000,000 US Gallons per Day = 695 US Gallons per Minute 500 Pounds per Hour = 1 US Gallon per Minute Doubling the diameter of a pipe or cylinder increases its capacity four times. Friction of liquids in pipes increases as the square of its velocity. Velocity in feet per minute necessary to discharge a given volume of water in a given time: = Cu. Ft. of water x 144 area of pipe in sq. inches Area of required pipe, the volume and velocity of water being given: = No. cu. Ft. of water x 144 Vel. In ft. per min. from this area the size pipe required may be selected from the table of standard pipe dimension. Page 13

15 Engineering Data 2 Atmospheric pressure at sea level is 14.7 pounds per square inch. This pressure with a perfect vacuum will maintain a column of water 33.9 feet high or a column of mercury 29.9 inches. This is the theoretical distance that water may be drawn by suction. In practice, however, pumps should not have a total dynamic suction lift greater than 25 feet. Net horsepower = the theoretical horsepower necessary to do the work Net horsepower = barrels per day x pressure x Net horsepower = barrels per hour x pressure x Net horsepower = gallons per minute x pressure x The customary method of indicating specific gravity of petroleum oils in this country is by means of the Baume scale. Since the Baume scale, for specific gravities of liquids lighter than water, increases inversely as the true gravity, the heaviest oil, i.e., that which has the highest true specific gravity, is expressed by the lowest figure of the Baume scale, the lightest by the highest figure. Areas of circles are to each other as the squares of their diameter: Circumference: diameter of circle x Area circle: diameter 2 x Diameter circle: circumference x Volume of sphere: diameter 3 x Square feet: square inches x Cubic feet: cubic inches x Cubic yard: cubic feet x Statute miles: lineal feet x Statute miles: lineal yards x gallon = 8.33 pounds 1 liter = gallons 1 cu.ft. = 7.48 gallons and/or pounds 1 meter = 3.28 feet 1 millimeter = inches STATIC HEAD is the vertical distance between the free level of the source of supply and the point of free discharge, or to the level of the free surface of the discharged water. TOTAL DYNAMIC HEAD is the vertical distance between source of supply and point of discharge when pumping at required capacity, plus velocity head, friction, velocity, entrance and exit losses. TOTAL DYNAMIC HEAD, as determined on test where suction lift exists, is the reading of a mercury column connected to the suction nozzle of pump, plus the reading of a pressure gauge connected to the discharge nozzle of pump, plus vertical distance between point of attachment of mercury column and center of gauge, plus excess, if any, of velocity head of discharge over velocity head of suction, as measured at points where the instruments are attached, plus head of water resting on mercury column, if any. Page 14

18 C = Cost in dollars per 1000 gallons r = Power rate per kilowatt hour (dollars) HP in = HP input measured at the meter H = total pumping head GPH = Gallons per hour discharged by pump Cost per 1000 gallons of water. Engineering Data 4 For each foot of head: C = 746 x r x HP in H x GPH Cost per hour: C = x r x HP in Water Requirements Domestic Use To supply water for each member of a family for all uses including kitchen, laundry and bath. To flush toilet... To fill average bathtub... To fill ordinary lavatory... Average shower bath..... Continuous flow drinking fountain... Water Required by Livestock Each horse Each cow... Each sheep Each hog Each 100 chickens.. 30 gallons per day 6 gallons per day 30 gallons per day 1 1/2 gallons per day 30 gallons per day gallons per day 10 gallons per day 15 gallons per day 3 gallons per day 5 gallons per day 5 gallons per day Water Required by Yard Fixtures 1/2" hose and nozzle 200 gallons per hour 3/4" hose and nozzle 300 gallons per hour Lawn sprinkler 120 gallons per hour To sprinkle 100 sq. ft. of lawn (1/4" of water) 16 gallons Note: The above requirements are only approximate, as the consumption of individuals and animals will vary by the seasons and weather conditions. In selecting the proper size pump, it is essential that the pump capacity be in excess of maximum requirements in order to provide a reserve in the event that water is required from several fixtures at the same time. For example, watering the lawn, drawing a bath, and water used in the kitchen simultaneously, is a common occurrence. It is also advisable to allow for the water level in the well lowering during dry years, thus decreasing pump capacity. Page 17

19 Gravity Sewer Line Bypass: Flow and Pump Sizing Chart Line Size % Full Velocity Flow (MGD) Flow (GPM) Pump Size Godwin Model 8" 50 % 1' / sec " CD100 M 8" 50 % 2' / sec " CD100 M 8" 100 % 1' / sec " CD100 M 8" 100 % 2' / sec " CD100 M 12" 50 % 1' / sec " CD100 M 12" 50 % 2' / sec " CD100 M 12" 100 % 1' / sec " CD100 M 12" 100 % 2' / sec " CD150 M 14" 50 % 1' / sec " CD100 M 14" 50 % 2' / sec " CD150 M 14" 100 % 1' / sec " CD150 M 14" 100 % 2' / sec " CD150 M 16" 50 % 1' / sec " CD100 M 16" 50 % 2' / sec " CD150 M 16" 100 % 1' / sec " CD150 M 16" 100 % 2' / sec " CD225 M 18" 50 % 1' / sec " CD150 M 18" 50 % 2' / sec " CD150 M 18" 100 % 1' / sec " CD150 M 18" 100 % 2' / sec " CD225 M 20" 50 % 1' / sec " CD150 M 20" 50 % 2' / sec " CD150 M 20" 100 % 1' / sec " CD150 M 20" 100 % 2' / sec " CD225 M 24" 50 % 1' / sec " CD150 M 24" 50 % 2' / sec " CD225 M 24" 100 % 1' / sec " CD225 M 24" 100 % 2' / sec " DPC " 50 % 1' / sec " CD225 M 30" 100 % 1' / sec " DPC " 50 % 2' / sec " DPC " 100 % 2' / sec " DPC 300 (2) 36" 50 % 1' / sec " CD225 M 36" 100 % 1' / sec " DPC " 50 % 2' / sec " DPC " 100 % 2' / sec " DPC 300 (2) 42" 50 % 1' / sec " DPC " 100 % 1' / sec " DPC 300 (2) 42" 50 % 2' / sec " DPC 300 (2) 42" 100 % 2' / sec " DPC 300 (3) 48" 50 % 1' / sec " DPC " 100 % 1' / sec " DPC 300 (2) 48" 50 % 2' / sec " DPC 300 (2) 48" 100 % 2' / sec " DPC 300 (4) Page 18

20 54" 50 % 1' / sec " DPC 300 (2) 54" 100 % 1' / sec " DPC 300 (2) 54" 50 % 2' / sec " DPC 300 (2) 54" 100 % 2' / sec " DPC 300 (5) 60" 50 % 1' / sec " DPC 300 (2) 60" 100 % 1' / sec " DPC 300 (3) 60" 50 % 2' / sec " DPC 300 (3) 60" 100 % 2' / sec " DPC 300 (5) 72" 50 % 1' / sec " DPC 300 (2) 72" 100 % 1' / sec " DPC 300 (4) 72" 50 % 2' / sec " DPC 300 (4) 72" 100 % 2' / sec " DPC 300 (7) Page 19

### Pacific Pump and Power

Pacific Pump and Power 91-503 Nukuawa Street Kapolei, Hawaii 96707 Phone: (808) 672-8198 or (800) 975-5112 Fax: (866) 424-0953 Email: sales@pacificpumpandpower.com Web: www.pacificpumpandpower.com Pumps

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