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Motor Pump Head Calculation

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 Motor Pump Head Calculation?

Definition: This calculator determines the pump head (pressure) generated by a motor pump based on horsepower, flow rate, fluid density, and pump efficiency.

Purpose: It helps engineers and technicians 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 converts horsepower to hydraulic power, then divides by flow rate and density to determine the head pressure the pump can generate.

3. Importance of Pump Head Calculation

Details: Accurate pump head calculation ensures proper system design, prevents pump overload, and helps select the right pump for the application.

4. Using the Calculator

Tips: Enter the motor horsepower, flow rate in GPM, fluid density (default 8.34 lb/gal for water), and efficiency factor (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 changes horsepower (550 ft-lb/sec) to units compatible with GPM and feet of head.

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

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

Q4: Can I use this for viscous fluids?
A: This formula works best for water-like fluids. For viscous fluids, additional corrections may be needed.

Q5: What if my pump head is too low?
A: You may need a more powerful pump, higher efficiency pump, or to reduce your flow rate requirements.

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