GPM from PSI and Pipe Size Calculator

Flow Rate Formula:

\[ V = \sqrt{\frac{2 \times (P_1 - P_2) \times 144}{\rho}} \] \[ Q = V \times A \times 448.83 \]

Inlet Pressure (P₁):

psi

Outlet Pressure (P₂):

psi

Fluid Density (ρ):

lb/ft³

Pipe Diameter:

inches

Velocity (V): ft/s

Flow Rate (Q): GPM

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1. What is a GPM from PSI and Pipe Size Calculator?

Definition: This calculator estimates the flow rate in gallons per minute (GPM) based on pressure difference and pipe size using Bernoulli's equation.

Purpose: It helps engineers, plumbers, and fluid system designers determine flow rates in piping systems.

2. How Does the Calculator Work?

The calculator uses the formulas:

\[ V = \sqrt{\frac{2 \times (P_1 - P_2) \times 144}{\rho}} \] \[ Q = V \times A \times 448.83 \]

Where:

\( V \) — Fluid velocity (ft/s)
\( P_1 \) — Inlet pressure (psi)
\( P_2 \) — Outlet pressure (psi)
\( \rho \) — Fluid density (lb/ft³)
\( Q \) — Flow rate (GPM)
\( A \) — Pipe cross-sectional area (ft²)

Explanation: The pressure difference is converted to velocity, which is then multiplied by pipe area to get flow rate.

3. Importance of Flow Rate Calculation

Details: Accurate flow rate estimation ensures proper system design, pump sizing, and meets process requirements in fluid systems.

4. Using the Calculator

Tips: Enter the pressure values (psi), fluid density (default 62.4 lb/ft³ for water), and pipe diameter (inches). All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What's the typical fluid density for water?
A: Water at 60°F has a density of 62.4 lb/ft³. Adjust for other fluids or temperatures.

Q2: Does this account for friction losses?
A: No, this is for ideal flow. For real-world applications, consider additional head loss calculations.

Q3: What pipe diameter should I use?
A: Use the internal diameter of the pipe for most accurate results.

Q4: Can I use this for gases?
A: This calculator is designed for incompressible fluids. For gases, use specialized compressible flow equations.

Q5: What's the conversion factor 448.83 for?
A: It converts ft³/s to gallons per minute (1 ft³/s = 448.83 GPM).