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Pump Head Calculation Formula

Pump Head Formula:

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

HP
GPM
lb/gal
ft

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1. What is Pump Head Calculation?

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

Purpose: It helps engineers and technicians properly size pumps and understand their performance characteristics in fluid systems.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

Explanation: The formula relates the energy input (HP) to the energy output (head) considering the pump's efficiency and the fluid properties.

3. Importance of Pump Head Calculation

Details: Accurate head calculations ensure proper pump selection, prevent cavitation, optimize energy usage, and maintain system performance.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: What is the 3960 constant in the formula?
A: It's a conversion factor that relates horsepower, flow rate, and head (1 HP = 3960 GPM·ft·lb/gal per minute).

Q2: What's a typical efficiency factor for pumps?
A: Centrifugal pumps typically range from 0.7-0.9 (70-90% efficient), with 0.85 being a common default value.

Q3: How does density affect pump head?
A: Higher density fluids require more energy to pump, resulting in lower head for the same power input.

Q4: Can I use this for viscous fluids?
A: This formula works best for water-like fluids. For viscous fluids, additional correction factors are needed.

Q5: What if my pump has variable speed?
A: This calculates head at the specified operating point. Variable speed affects both flow and head.

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