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Water Pump Power Calculation Formula

Water Pump Power Equation:

\[ P = \rho \times g \times Q \times H / \eta \]

kg/m³
m³/s
m
(0-1)

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1. What is the Water Pump Power Equation?

The water pump power equation calculates the required power to move fluid through a system, accounting for fluid density, flow rate, head (height the fluid needs to be lifted), and pump efficiency.

2. How Does the Calculator Work?

The calculator uses the pump power equation:

\[ P = \rho \times g \times Q \times H / \eta \]

Where:

Explanation: The equation calculates the theoretical power required to move the fluid, then divides by pump efficiency to get actual required power.

3. Importance of Pump Power Calculation

Details: Proper pump sizing is essential for energy efficiency, system performance, and avoiding premature pump failure. Oversized pumps waste energy while undersized pumps can't meet system demands.

4. Using the Calculator

Tips: Enter fluid density (1000 kg/m³ for water), flow rate, head, and pump efficiency (typically 0.7-0.9 for centrifugal pumps). All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: What's a typical pump efficiency value?
A: Centrifugal pumps typically range from 0.7-0.9 (70-90%), while positive displacement pumps can reach 0.9-0.95.

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

Q3: What if my fluid isn't water?
A: Use the actual density of your fluid (e.g., 800 kg/m³ for diesel, 13600 kg/m³ for mercury).

Q4: Does this account for pipe friction losses?
A: No, the head (H) should include both static head and friction losses in the piping system.

Q5: Why is the result in kW?
A: The equation gives watts, but pump power is typically expressed in kW (1 kW = 1000 W).

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