P_hyd = ρ·g·Q·H - useful power transferred to the fluid. Brake power = P_hyd / η_pump.
Formula
$$ P_\text{hyd} = \rho \cdot g \cdot Q \cdot H, \quad P_b = \frac{P_\text{hyd}}{\eta} $$
Symbol legend
| Symbol | Meaning | Unit | Source |
|---|---|---|---|
| $ρ$ | Fluid density | kg/m³ | fluid property |
| $Q$ | Volumetric flow | m³/s | pump curve |
| $H$ | Total dynamic head | m | system curve |
| $η$ | Pump efficiency | - | manufacturer curve |
Sources
- ISO 9906 - Rotodynamic pumps acceptance tests.