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Pump Power Formula in HP

Pump Power Formula:

\[ HP = \frac{Q \times H \times \rho}{3960 \times \eta} \]

GPM
ft
lb/gal

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1. What is the Pump Power Formula in HP?

Definition: This calculator determines the hydraulic horsepower required by a pump based on flow rate, total head, fluid density, and pump efficiency.

Purpose: It helps engineers and technicians properly size pumps for various fluid transfer applications.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ HP = \frac{Q \times H \times \rho}{3960 \times \eta} \]

Where:

Explanation: The formula calculates the power needed to move a specific volume of fluid against a certain head pressure, adjusted for pump efficiency.

3. Importance of Pump Power Calculation

Details: Accurate power calculation ensures proper pump selection, energy efficiency, and reliable system operation.

4. Using the Calculator

Tips: Enter the flow rate in GPM, total head in feet, fluid density (default 8.34 lb/gal for water), and pump efficiency (default 0.85). All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is the constant 3960 in the formula?
A: It's a conversion factor that combines various unit conversions to give the result directly in horsepower.

Q2: What's a typical pump efficiency value?
A: Most pumps have efficiencies between 0.7-0.9 (70-90%), with centrifugal pumps typically around 0.85.

Q3: How do I determine total head?
A: Total head is the sum of static head, friction head, and pressure head in the system.

Q4: What if I'm using a fluid other than water?
A: Adjust the density value accordingly (e.g., 7.48 lb/gal for gasoline, 9.0 lb/gal for seawater).

Q5: Does this calculate brake horsepower or hydraulic horsepower?
A: This calculates hydraulic horsepower. Brake horsepower would require dividing by mechanical efficiency.

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