How to Use the Calculator
- Enter the flow rate (Q) in cubic meters per second (m³/s).
- Enter the total head (H) in meters (m).
- Enter the efficiency (η) as a percentage.
- Click the "Calculate" button to compute the power output.
- The results will display the power output in watts (W), along with the default density and gravity values.
Understanding the Calvert Equation
The Calvert Equation is used to calculate the power required by a centrifugal pump. The formula is:
P = (ρ × g × Q × H) / η
Where:
- P = Power (W) - The power required by the pump in watts.
- ρ = Density of fluid (kg/m³) - The density of the fluid being pumped, typically water with a density of 1000 kg/m³.
- g = Acceleration due to gravity (m/s²) - The acceleration due to gravity, typically 9.81 m/s².
- Q = Flow Rate (m³/s) - The flow rate of the fluid through the pump.
- H = Total Head (m) - The total head the pump must overcome, including friction losses and elevation changes.
- η = Efficiency (%) - The efficiency of the pump as a percentage.
Example Calculation
Suppose you have a centrifugal pump that needs to move 0.5 m³/s of water to a height of 20 meters with an efficiency of 75%. The power required can be calculated as follows:
P = (1000 kg/m³ × 9.81 m/s² × 0.5 m³/s × 20 m) / (75 / 100) = 131333.33 W or 131.33 kW