Mechanical EngineeringP0

Pump Power Calculator

Calculate pump hydraulic power and shaft power from flow rate, head, fluid density and pump efficiency.

Inputs

Enter your values below

Flow Rate*m3/h

Total Head*m

Fluid Density*kg/m³

Pump Efficiency*

Enter as decimal (0.7 = 70%)

Result

Shaft Power

—

Enter values and click Calculate

Formula

density × flow × 9.81 × head ÷ efficiency ÷ 1000

Result unit: kW

Hydraulic Power P_h = ρgQH. Shaft Power P_shaft = P_h / η. Flow Q in m³/s, head H in m, ρ in kg/m³, g=9.81 m/s². /1000 converts W to kW.

Introduction

Calculate the shaft power required for a centrifugal pump using flow rate, total head, fluid density and pump efficiency. This is the fundamental pump selection calculation.

Calculation Example

Pumping 100 m³/h water at 50m head with 70% efficiency requires ~19.5 kW shaft power.

Inputs: flow=100, head=50, density=1000, efficiency=0.7

Result: 19.46 kW

Engineering Applications

•Pump selection
•Motor sizing
•Energy estimation
•Process design

Frequently Asked Questions

What is total head?

Total head is the sum of static head, pressure head, velocity head and friction losses — the total energy the pump must add to the fluid.

What is typical pump efficiency?

Centrifugal pump efficiency is typically 60-85% depending on size and specific speed. Large pumps can exceed 90%.

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Disclaimer: Calculations are for reference and educational purposes only. Always verify results independently for engineering design. See full disclaimer.