Flow Rate to PSI Calculator

Pressure Formula:

\[ P = \frac{V^2 \times \rho}{2 \times 144} \] \[ V = \frac{Q}{A \times 448.83} \]

Velocity (V):

Pressure (P):

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1. What is a Flow Rate to PSI Calculator?

Definition: This calculator converts flow rate (in gallons per minute) to pressure (in psi) using fluid dynamics equations.

Purpose: It helps engineers and technicians determine the pressure generated by fluid flow through pipes or systems.

2. How Does the Calculator Work?

The calculator uses two formulas:

\[ P = \frac{V^2 \times \rho}{2 \times 144} \] \[ V = \frac{Q}{A \times 448.83} \]

Where:

\( P \) — Pressure (psi)
\( V \) — Velocity (ft/s)
\( \rho \) — Fluid density (lb/ft³)
\( Q \) — Flow rate (GPM)
\( A \) — Cross-sectional area (ft²)

Explanation: First calculates velocity from flow rate, then uses velocity to determine dynamic pressure.

3. Importance of Flow Rate to Pressure Conversion

Details: Understanding this relationship is crucial for designing piping systems, selecting pumps, and ensuring proper system operation.

4. Using the Calculator

Tips: Enter the flow rate in GPM, cross-sectional area in square feet, and fluid density (default 62.4 lb/ft³ for water). All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What's the 448.83 conversion factor?
A: This converts GPM to ft³/s (1 GPM = 0.002228 ft³/s) and accounts for unit consistency in the equation.

Q2: Why divide by 144 in the pressure formula?
A: This converts from lb/ft² to psi (1 psi = 144 lb/ft²).

Q3: What's a typical fluid density for water?
A: Water at 60°F has a density of 62.4 lb/ft³. Other fluids have different densities.

Q4: Does this account for friction losses?
A: No, this calculates dynamic pressure only. System design should include additional calculations for friction losses.

Q5: How do I find the cross-sectional area?
A: For circular pipes, \( A = \pi \times (diameter/2)^2 \). Convert diameter from inches to feet.