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Pump Horsepower Equation

Pump Horsepower Formula:

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

GPM
ft
lb/gal

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1. What is the Pump Horsepower Equation?

Definition: This calculator determines the required horsepower for 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 required to move a specific volume of fluid against a given head pressure, adjusted for pump efficiency.

3. Importance of Pump Horsepower Calculation

Details: Proper horsepower calculation ensures pumps are correctly sized for energy efficiency and reliable 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 equation?
A: This is a conversion factor that combines various unit conversions to give horsepower directly.

Q2: What's a typical pump efficiency value?
A: Most pumps operate between 70-90% efficiency (0.7-0.9), with 0.85 being a common default.

Q3: How do I determine total head?
A: Total head includes static head, friction losses, and pressure differences in the system.

Q4: What density should I use for other fluids?
A: For other fluids, multiply water density (8.34 lb/gal) by the specific gravity of the fluid.

Q5: Does this calculate brake horsepower or water horsepower?
A: This calculates brake horsepower (actual power required) as it includes the efficiency factor.

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