Fluid Mechanics
Pump Sizing — Head & Power
Calculate total system head and required pump power for centrifugal or positive displacement pumps.
Units:
Always add 10–15% margin to the calculated head when selecting a pump. The pump curve must intersect the system curve at or above your design point. For viscous fluids (oils, glycols), apply viscosity correction factors — centrifugal pump performance degrades significantly above 50 cSt.
H_total = H_static + H_friction + H_velocity | P_shaft = ρgQH / (1000 × η)
Input
Required flow Q iRequired volumetric flow rate in m³ per hour.
m³/h
Static head H_s iVertical height difference between suction surface and delivery point in metres.
m
Friction losses H_f iTotal friction losses in pipes, fittings and valves in metres of head. Calculate from Darcy-Weisbach or estimate 1–3 m per 100m of pipe.
m
Fluid density iFluid density. Water: 1000, Glycol 50%: 1073, Light oil: 870 kg/m³.
kg/m³
Pump efficiency η iOverall pump efficiency including hydraulic, volumetric and mechanical losses. Centrifugal at BEP: 65–85%. Gear pump: 75–90%.
%
Result
Total system head H [m]
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Hydraulic power P_hyd [kW]
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Shaft power required [kW]
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Recommended motor size [kW]
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NPSH note
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