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Calculate GPM from PSI

Flow Rate Formulas:

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

psi
psi
lb/ft³
ft²
ft/s
GPM

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1. What is GPM from PSI Calculator?

Definition: This calculator estimates the flow rate in gallons per minute (GPM) through a pipe based on pressure difference and pipe area.

Purpose: It helps engineers and technicians determine fluid flow rates in piping systems when pressure measurements are available.

2. How Does the Calculator Work?

The calculator uses these formulas:

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

Where:

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

3. Importance of Flow Rate Calculation

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

4. Using the Calculator

Tips: Enter the pressure difference (P₁ > P₂), fluid density (default 62.4 lb/ft³ for water), and pipe area. All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: What's the 144 factor in the equation?
A: This converts psi (lb/in²) to lb/ft² (1 ft² = 144 in²).

Q2: Why 448.83 in the flow rate formula?
A: This converts ft³/s to GPM (1 ft³/s = 448.83 GPM).

Q3: What's a typical fluid density for water?
A: Fresh water at 60°F is about 62.4 lb/ft³. Salt water is about 64 lb/ft³.

Q4: How do I find pipe area?
A: For circular pipes: \( A = \pi \times (D/2)^2 \) where D is diameter in feet.

Q5: Does this account for friction losses?
A: No, this is ideal flow. For real systems, consider additional pressure drop calculations.

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