Pump Flow Rate Formula:
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Definition: This calculator determines the flow rate in gallons per minute (GPM) of a water pump based on horsepower, efficiency, and head.
Purpose: It helps engineers, plumbers, and irrigation specialists size pumps correctly for various applications.
The calculator uses the formula:
Where:
Explanation: The formula relates pump power to flow rate, accounting for the work needed to lift water against gravity (head) and pump efficiency.
Details: Proper pump sizing ensures efficient operation, prevents overloading, and matches system requirements.
Tips: Enter the pump horsepower (HP), efficiency (default 0.8 for 80%), and total head in feet. All values must be > 0.
Q1: What is pump efficiency?
A: Pump efficiency (η) is the ratio of useful hydraulic power to input shaft power, typically 0.7-0.9 for good pumps.
Q2: What does "head" mean?
A: Head is the height (in feet) that the pump must lift the water, including friction losses in pipes.
Q3: Why 3960 in the formula?
A: This is a conversion constant that relates horsepower to foot-pounds per minute (1 HP = 33,000 ft-lb/min, water HP = 3960 GPM·ft).
Q4: What's a typical efficiency value?
A: Most centrifugal pumps operate at 70-85% efficiency when properly sized.
Q5: How do I find total dynamic head?
A: Measure vertical lift plus friction losses (from pipe size/length charts) plus pressure requirements.