Water compressibility: 1/3 % approximate volume reduction for every 1,000 psi of pressure Oil compressibility: 1/2 % approximate volume reduction for every 1,000 psi of pressure Reservoir capacity (GALS) = length (INS) x width (INS) x height (INS) / 231 Horsepower when idling a pump: an idle and unloaded pump will require about 5% of its full rate hp General Information and “Rules of Thumb” :Įstimating pump drive horsepower: 1 hp of input drive for each 1 gpm at 1,500 psi pump output TD = temperature difference of the oil in the reservoir and the surrounding ambient airĪ = entire surface area of the reservoir in square feet (including the bottom if elevated) General cooling capacity of a steel reservoir: HP (heat) =. Note that heat is generated anytime no mechanical output work is produced.Most of this heat will be carried back to the reservoir.Horsepower (hp) = pressure (psi) x flow (gpm) / 1714 -or- BTU/hr = 1½ x psi x gpmĮxample: 10 gpm flow across a pressure reducing valve with a 300 psi drop = 1.75 hp of heat generatedġ.75 hp of heat = 4,453 BTU/hr = 105 BTU/min = 57,750 ft. Heat Generation Formulas : Converting heat into other unitsġ hp = 2,545 BTU/hr = 42.4 BTU/min = 33,000 ft. (Can also use horsepower (hp) x 63,025 / pump displacement (cu ins/rev) Pump Torque (in lbs) = pressure (psi) x pump displacement (cu ins/rev) / 6.28 (Can also use horsepower (hp) = torque (in lbs) x pump speed (rpm) / 63,025) Pump Horsepower (hp) = flow rate (gpm) x pressure (psi) / 1,714 x pump efficiency factor Pump Speed (rpm) = 231 x pump flow rate (gpm) / pump displacement (cu ins/rev) Pump Outlet Flow (gpm) = pump speed (rpm) x pump displacement (cu ins/rev) / 231 Motor Displacement (cu ins/rev) = torque (in lbs) x 6.28 / pressure (psi) Motor Flow Rate (gpm) = motor speed (rpm) x motor displacement (cu ins/rev) / 231 Motor Horsepower (hp) = torque (in lbs) x motor speed (rpm) / 63,025 Motor Speed (rpm) = 231 x flow rate (gpm) / motor displacement (cu ins/rev) (Can also use horsepower (hp) x 63,025 / speed (rpm) Motor Torque (in lbs) = pressure (psi) x motor displacement (cu ins/rev) / 6.28 26 / flow rate (gpm)Ĭylinder Flow Rate (gpm) = 12 x 60 x cylinder speed (ft/sec) x area (in²) / 231Ĭylinder Volume Capacity (gals) = cylinder area (in²) x cylinder stroke (ins) / 231 (Divide by 60 to convert speed to ft/sec)Ĭylinder Speed (in/min) = flow rate (cu ins/min) / area (in²)Ĭylinder Time (secs) = area (in²) x cylinder stroke (ins) x. Piston Rod End (annulus end) Area (in²) = piston cylinder area (in²) - rod area (in²)Ĭylinder Force (lbs) = pressure (psi) x area (in²)Ĭylinder Speed (ft/min) = 19.25 x flow rate (gpm) / area (in²) (Can also use 3.1416 x radius squared (ins) ) Piston Cylinder Area (in²) = diameter squared x. Speed (rpm) = horsepower (hp) x 5,252 / torque (ft lbs) Horsepower (hp) = torque (ft lbs) x speed (rpm) / 5,252 Torque (ft lbs) = horsepower (hp) x 5,252 / speed (rpm) Pressure (psi) = force (lbs) / area (in²)įorce (lbs) = area (in²) x pressure (psi)Īrea (in²) = force (lbs) / pressure (psi)įluid Power Horsepower (hp) = pressure (psi) x pump flow (gpm) / 1,714 Pressure, Force and Horsepower Relationships:
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