Pump Power Calculator
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Data Source and Methodology
Calculations are based on standard fluid mechanics formulas and data provided by Engineering Toolbox. All calculations are strictly based on the formulas and data provided by this source.
The Formula Explained
P = \frac{Q \times H \times \rho \times g}{\eta}
Where:
- P = Power (W)
- Q = Flow Rate (m³/s)
- H = Head (m)
- ρ = Density (kg/m³)
- g = Gravity (9.81 m/s²)
- η = Efficiency (as a decimal)
Glossary of Variables
- Flow Rate (Q): Volume of fluid moved per second.
- Head (H): Height the fluid is raised by the pump.
- Fluid Density (ρ): Mass per unit volume of the fluid.
- Efficiency (η): Ratio of useful power output to the total power input.
How It Works: A Step-by-Step Example
For example, if you have a flow rate of 0.1 m³/s, a head of 20 m, a density of 1000 kg/m³, and an efficiency of 75%, the pump power can be calculated as follows:
P = (0.1 × 20 × 1000 × 9.81) / 0.75 = 26168 W
Frequently Asked Questions (FAQ)
What is pump power?
Pump power is the energy supplied to the pump to move fluid.
How do you calculate pump power?
Pump power can be calculated using the formula: P = Q × H × ρ × g / η, where P is power, Q is flow rate, H is head, ρ is fluid density, g is gravity, and η is efficiency.
Why is efficiency important in pump calculations?
Efficiency determines the effectiveness of energy use, impacting operational costs and energy consumption.
What units are used in pump power calculations?
Common units include cubic meters per second (m³/s) for flow rate, meters (m) for head, kilograms per cubic meter (kg/m³) for density, and watts (W) for power.
Can this calculator be used for any type of fluid?
Yes, as long as the density and other parameters are correctly input, the calculator can handle different fluids.