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Water Pump Head Calculation Formula

Water Pump Head Formula:

\[ H = \frac{HP \times 3960 \times \eta}{Q \times 8.34} \]

HP
GPM
ft

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1. What is Water Pump Head Calculation?

Definition: This calculator determines the total dynamic head (TDH) that a water pump can generate based on its power, efficiency, and flow rate.

Purpose: It helps engineers, plumbers, and irrigation specialists properly size pumps for various applications.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ H = \frac{HP \times 3960 \times \eta}{Q \times 8.34} \]

Where:

Explanation: The formula converts horsepower to head by accounting for pump efficiency and the weight of water (8.34 lbs/gallon).

3. Importance of Pump Head Calculation

Details: Proper head calculation ensures pumps can overcome elevation changes, friction losses, and maintain required pressure.

4. Using the Calculator

Tips: Enter the pump horsepower (HP), efficiency (default 0.85), and flow rate (GPM). All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is a typical pump efficiency value?
A: Most centrifugal pumps operate between 70-90% efficiency (0.7-0.9).

Q2: Why is 3960 used in the formula?
A: This constant converts horsepower to foot-pounds per minute (1 HP = 3960 ft-lb/min).

Q3: What's the 8.34 factor?
A: This represents the weight of one gallon of water (8.34 lbs/gallon at 60°F).

Q4: How does head relate to pressure?
A: 1 foot of head = 0.433 psi. Multiply head by 0.433 to get pressure.

Q5: Does this include friction losses?
A: No, this calculates theoretical head. Friction losses must be added separately.

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