1. Centrifugal Pump Power Formula

The centrifugal pump power formula calculates the power required to move fluid through a pump system, accounting for fluid properties and system characteristics.

2. How the Calculation Works

The calculator uses the pump power equation:

Where:

• \( P \) — Pump power (W)
• \( \rho \) — Fluid density (kg/m³)
• \( g \) — Gravitational acceleration (9.81 m/s²)
• \( Q \) — Volumetric flow rate (m³/s)
• \( H \) — Total dynamic head (m)
• \( \eta \) — Pump efficiency (0 to 1)

Explanation: The formula calculates the mechanical power needed to move a fluid against gravity and system resistance, adjusted for pump efficiency.

3. Importance of Pump Power Calculation

Details: Accurate pump power calculation is essential for proper pump selection, energy efficiency assessment, and system design optimization.

4. Using the Calculator

Tips: Enter fluid density in kg/m³, flow rate in m³/s, head in meters, and pump efficiency as a decimal (0-1). All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is typical pump efficiency?
A: Centrifugal pumps typically have efficiencies between 0.5 and 0.9 (50-90%), depending on size and design.

Q2: How does density affect pump power?
A: Power is directly proportional to fluid density - denser fluids require more power to pump.

Q3: What is total dynamic head?
A: It's the total height the pump must move the fluid, including static lift and friction losses in pipes.

Q4: Why is flow rate in m³/s?
A: The SI unit for power is watts (J/s), so consistent SI units must be used in the calculation.

Q5: How to account for motor efficiency?
A: For electrical input power, divide the calculated pump power by the motor efficiency.