Pump Flow Rate Formula:
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Definition: This calculator determines the flow rate of a pump in gallons per minute (GPM) based on horsepower, efficiency, total head, and fluid density.
Purpose: It helps engineers and technicians size pumps and understand their performance characteristics in fluid systems.
The calculator uses the formula:
Where:
Explanation: The formula relates the power input (HP) to the hydraulic power output (flow × head × density), accounting for pump efficiency.
Details: Accurate flow rate calculation ensures proper pump selection, system design, and energy efficiency in fluid transport systems.
Tips: Enter the pump horsepower (HP), efficiency (default 0.85), total head in feet, and fluid density (default 8.34 lb/gal for water). All values must be > 0.
Q1: What is the constant 3960 in the formula?
A: It's a conversion factor that equates 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 60-85% efficiency (0.6-0.85), while positive displacement pumps can reach 90% (0.9).
Q3: How do I determine total head?
A: Total head is the sum of static head, friction head, and pressure head in the system.
Q4: What density should I use for other fluids?
A: Use 8.34 lb/gal for water. For other fluids, multiply by specific gravity (e.g., 8.34 × 0.79 = 6.59 lb/gal for ethanol).
Q5: Can this calculate required horsepower for a desired flow?
A: Yes, rearrange the formula: \( HP = \frac{Q \times H \times \rho}{3960 \times \eta} \)