Centrifugal Pump Power Calculation

Centrifugal Pump Power Formula:

\[ P = \frac{\rho \times g \times Q \times H}{\eta} \]

Density (ρ):

kg/m³

Flow Rate (Q):

m³/s

Head (H):

meters

Efficiency (η):

(0-1)

Pump Power (P):

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1. What is the Centrifugal Pump Power Formula?

The centrifugal pump power formula calculates the required power to pump a fluid at a specified flow rate against a given head, accounting for the pump's efficiency. It's essential for pump selection and system design.

2. How Does the Calculator Work?

The calculator uses the pump power equation:

\[ P = \frac{\rho \times g \times Q \times H}{\eta} \]

Where:

\( P \) — Power (W)
\( \rho \) — Fluid density (kg/m³)
\( g \) — Gravitational acceleration (9.81 m/s²)
\( Q \) — Flow rate (m³/s)
\( H \) — Total head (m)
\( \eta \) — Pump efficiency (0-1)

Explanation: The formula calculates the hydraulic power divided by the pump efficiency to determine the required input power.

3. Importance of Pump Power Calculation

Details: Accurate power calculation ensures proper pump selection, prevents motor overload, and helps in energy consumption estimation.

4. Using the Calculator

Tips: Enter fluid density (1000 kg/m³ for water), flow rate in m³/s, total head in meters, and pump efficiency (typically 0.7-0.9 for centrifugal pumps).

5. Frequently Asked Questions (FAQ)

Q1: What's typical pump efficiency?
A: Centrifugal pumps typically have 70-90% efficiency, but this varies with size and design.

Q2: How to convert flow rate from L/s to m³/s?
A: Divide L/s by 1000 (1 L/s = 0.001 m³/s).

Q3: What affects pump efficiency?
A: Pump design, size, operating point relative to BEP, and fluid viscosity all affect efficiency.

Q4: What's the difference between head and pressure?
A: Head is pressure expressed in meters of fluid column (H = P/ρg).

Q5: How to account for system losses?
A: Include all friction losses in your total head calculation.