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Pump Hydraulic Power

P_hyd = ρ·g·Q·H - useful power transferred to the fluid. Brake power = P_hyd / η_pump.

Pumps
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Formula, assumptions, and limits

Phyd=ρgQH,Pb=PhydηP_\text{hyd} = \rho \cdot g \cdot Q \cdot H, \quad P_b = \frac{P_\text{hyd}}{\eta}
SymbolMeaningUnit
ρρFluid densitykg/m³
QQVolumetric flowm³/s
HHTotal dynamic headm
ηηPump efficiency

Source: ISO 9906 - Rotodynamic pumps acceptance tests

In short

P_hyd = \u03c1\u00b7g\u00b7Q\u00b7H - useful power transferred to the fluid.

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