Thermal & Fluid Sciences
Pump Power Calculator
Analyze pump power requirements. Determine the hydraulic output (useful work done on fluid) and shaft input (actual motor power required) across efficiency losses.
Gravity (g)
9.81 m/s²
Standard Earth gravity
Fluid Density
1000 kg/m³
Dynamic reference
Output
CSV
Export ready
Parameters
System fluid & head presets
Animated flow rate sweep
Pump Power Formulations
Hydraulic Power Output (Pw)
Pw = ρ * g * Q * H
Shaft Power Input (Ps)
Ps = Pw / η
Volumetric Flow Rate in m³/s
Q_m3s = Q_m3h / 3600
Dissipated Power Losses
P_loss = Ps - Pw
At flow rate 100 m³/h and head 30 m, the useful hydraulic fluid output is 8.18 kW.
Due to an efficiency of 75%, the motor must deliver 10.90 kW to the pump shaft.
The remaining 2.72 kW of power is wasted as heat, bearing friction, and viscous shear losses.
Rig Layout & Power Distribution
Shaft Power Input (Brake HP)
10.90kW
Hydraulic Power Output
8.18kW
Power Dissipated (Losses)
2.72kW
Mass Flow Rate
27.8kg/s
Power Curves vs. Flow Rate (at current Head & Density)
Power Sweep Node Data
| Flow Rate (m³/h) | Hydraulic Power (kW) | Shaft Power (kW) | Power Dissipated (kW) |
|---|---|---|---|
| 10 | 0.82 | 1.09 | 0.27 |
| 30 | 2.45 | 3.27 | 0.82 |
| 50 | 4.09 | 5.45 | 1.36 |
| 70 | 5.72 | 7.63 | 1.91 |
| 90 | 7.36 | 9.81 | 2.45 |
| 110 | 8.99 | 11.99 | 3.00 |
| 130 | 10.63 | 14.17 | 3.54 |
| 150 | 12.26 | 16.35 | 4.09 |
| 170 | 13.90 | 18.53 | 4.63 |
| 190 | 15.53 | 20.71 | 5.18 |
| 210 | 17.17 | 22.89 | 5.72 |
| 230 | 18.80 | 25.07 | 6.27 |
| 250 | 20.44 | 27.25 | 6.81 |
| 270 | 22.07 | 29.43 | 7.36 |
| 290 | 23.71 | 31.61 | 7.90 |
| 310 | 25.34 | 33.79 | 8.45 |
| 330 | 26.98 | 35.97 | 8.99 |
| 350 | 28.61 | 38.15 | 9.54 |
| 370 | 30.25 | 40.33 | 10.08 |
| 390 | 31.88 | 42.51 | 10.63 |
| 410 | 33.52 | 44.69 | 11.17 |
| 430 | 35.15 | 46.87 | 11.72 |
| 450 | 36.79 | 49.05 | 12.26 |
| 470 | 38.42 | 51.23 | 12.81 |
| 490 | 40.06 | 53.41 | 13.35 |