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PSI to GPM Formula:
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The PSI to GPM equation calculates flow rate in gallons per minute (GPM) from pressure in pounds per square inch (PSI) using a system-specific constant. This relationship is fundamental in fluid dynamics and hydraulic systems.
The calculator uses the PSI to GPM equation:
Where:
Explanation: The equation shows that flow rate is proportional to the square root of pressure, with the constant k accounting for system characteristics like pipe size and fluid properties.
Details: Accurate flow rate calculation is essential for designing and analyzing hydraulic systems, irrigation systems, fire protection systems, and industrial fluid processes.
Tips: Enter the system constant (k) and pressure in PSI. The constant k is typically determined experimentally or provided by manufacturers for specific systems.
Q1: How do I determine the constant k for my system?
A: The constant can be determined experimentally by measuring flow rate at a known pressure and solving for k, or obtained from manufacturer specifications.
Q2: Does this equation work for all fluids?
A: The basic relationship holds for most Newtonian fluids, but the constant k will vary with fluid viscosity and density.
Q3: Why is the relationship square root rather than linear?
A: The square root relationship comes from the Bernoulli equation and reflects how kinetic energy relates to pressure in fluid flow.
Q4: What are typical k values for common systems?
A: Residential water systems might have k values around 5-10, while industrial systems can have much higher values depending on pipe size and design.
Q5: Can this be used for compressible gases?
A: This simplified equation is primarily for incompressible liquids. Gas flow requires more complex calculations accounting for compressibility.