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Pump Power Formula Calculator

Pump Power Formula:

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

kg/m³
m³/s
m
decimal (0-1)

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1. What is the Pump Power Formula?

The Pump Power Formula calculates the power required by a pump to move a fluid at a specified flow rate against a given head, taking into account the fluid's density and the pump's efficiency.

2. How Does the Calculator Work?

The calculator uses the pump power formula:

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

Where:

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

3. Importance of Pump Power Calculation

Details: Accurate pump power calculation is essential for proper pump selection, energy consumption estimation, and electrical system design.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: What is typical pump efficiency?
A: Centrifugal pumps typically have 70-90% efficiency, while positive displacement pumps can reach 90% or more.

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 I know power in horsepower?
A: 1 HP ≈ 0.746 kW. Multiply HP by 0.746 to get kW.

Q4: Does this account for system losses?
A: No, this calculates pump power only. System losses (pipe friction, fittings) would require additional head.

Q5: What's a typical head value?
A: Head varies greatly by application. Domestic water systems might use 20-50m, while industrial applications may require much more.

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