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Pump Capacity Calculation Formula

Pump Capacity Formula:

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

HP
ft
lb/gal

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1. What is Pump Capacity Calculation?

Definition: This calculator estimates the flow rate (capacity) of a pump based on horsepower, efficiency, total head, and fluid density.

Purpose: It helps engineers and technicians determine the expected performance of pumping systems in various applications.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

Explanation: The formula relates the power input (HP) to the hydraulic power output (flow rate against head), accounting for pump efficiency.

3. Importance of Pump Capacity Calculation

Details: Accurate capacity calculations ensure proper pump selection, system design, and energy efficiency in fluid transport systems.

4. Using the Calculator

Tips: Enter the pump horsepower, efficiency factor (default 0.85), total head in feet, and fluid density (default 8.34 lb/gal for water). All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is the constant 3960 in the formula?
A: This is a conversion factor that relates horsepower to foot-pounds per minute (1 HP = 3960 ft-lb/min).

Q2: What's a typical pump efficiency value?
A: Centrifugal pumps typically range from 0.6-0.9 (60-90%) efficiency depending on design and operating conditions.

Q3: How do I determine total head?
A: Total head includes static head, friction losses, and pressure differences - use system calculations or pump curves.

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: Does this work for all pump types?
A: This formula is most accurate for centrifugal pumps. Positive displacement pumps require different calculations.

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