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Calculate Pump Horsepower from Flow and Head

Pump Horsepower Formula:

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

GPM
ft
lb/gal

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1. What is Pump Horsepower Calculation?

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

Purpose: It helps engineers and technicians properly size pumps for fluid systems in various 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 pressure head, adjusted for pump efficiency.

3. Importance of Pump Horsepower Calculation

Details: Proper horsepower calculation ensures energy-efficient operation, prevents pump overload, and matches system requirements.

4. Using the Calculator

Tips: Enter the flow rate in GPM, 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 horsepower directly.

Q2: What's a typical pump efficiency?
A: Centrifugal pumps typically range from 70-90% efficiency (0.7-0.9), but this varies by pump type and size.

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 fluids other than water, use their specific weight divided by 7.48 (gallons per cubic foot).

Q5: Should I add a safety factor?
A: Yes, it's common to add 10-20% to the calculated horsepower for safety margins and future needs.

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