Pressure Formula:
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Definition: This calculator converts flow rate in gallons per minute (GPM) to pressure in pounds per square inch (PSI) based on pipe area and fluid density.
Purpose: It helps engineers, plumbers, and technicians determine the pressure generated by fluid flow in pipes and systems.
The calculator uses the formulas:
Where:
Explanation: The flow rate is first converted to velocity, then the velocity is used to calculate the dynamic pressure.
Details: Understanding the relationship between flow rate and pressure is crucial for designing piping systems, selecting pumps, and ensuring proper system operation.
Tips: Enter the flow rate in GPM, pipe cross-sectional area in ft², and fluid density (default 62.4 lb/ft³ for water). All values must be > 0.
Q1: What's the 448.83 conversion factor?
A: This converts GPM to ft³/s and accounts for the pipe area (1 GPM = 0.002228 ft³/s, 1/0.002228 ≈ 448.83).
Q2: What's a typical water density?
A: Fresh water at 60°F is about 62.4 lb/ft³. Saltwater is about 64 lb/ft³.
Q3: Does this account for pipe friction?
A: No, this calculates dynamic pressure only. Total system pressure would include static pressure and account for friction losses.
Q4: How do I find pipe cross-sectional area?
A: For circular pipes: \( A = \pi \times (D/2)^2 \) where D is diameter in feet.
Q5: When would I use this calculation?
A: When designing hydraulic systems, sizing pipes, selecting pumps, or troubleshooting flow/pressure issues.