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Where: BHP = Brake Horsepower in horsepower Q = Flow Rate in gallons per minute P = Pressure in pounds per square inch n = Efficiency expressed as a decimal C = A conversion factor depending on units of flow and pressure
UnitsValue of C GPM / PSI 1714 GPM / Hd. Ft.3960 / SG Barrels per Day / PSI 58773 Barrels per Day / Hd. Ft.135788 / SG CFM / PSI 229.16 CFM / Hd. Ft.529.45 / SG Cubic Meters per Hour / PSI 6.4875 Cubic Meters per Hour / Hd. Ft.14.989 / SG
SG = Specific Gravity of the fluid
Horsepower [HP] = Flow Rate [GPM] × Pressure [PSI] / (C× Efficiency)
Flow Rate = 750 GPM Pressure = 125 PSI Efficiency = 78% Calculate: 750 [GPM] × 125 [PSI] / (1714 × 0.78) = 70.12 HP
Flow Rate = 125,000 BBL/Day Pressure = 798 Hd.Ft. SG = 0.75 Efficiency = 81% Calculate: 125,000 [BBL/Day] × 798[Hd.Ft.] / {( 135,788/ 0.75) × 0.81} = 680.2 HP
Note: The calculation above is only for single acting plunger and piston pumps. In a double acting plunger pump, the flow rate should be multiplied by 2. In a double acting piston pump, a modified piston diameter should be used where D P= 2 × D Piston– D Rod
Where: D Piston= Diameter of the Piston in inches D Rod= Diameter of the Drive Rod connecting to the piston
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