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GPM vs PSI Calculator

Flow Rate Formula:

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

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psi
lb/ft³
ft²
ft/s
GPM

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1. What is a GPM vs PSI Calculator?

Definition: This calculator determines the flow rate (GPM) through a pipe based on pressure difference (PSI), fluid density, and pipe cross-sectional area.

Purpose: It helps engineers and technicians in fluid systems design and analysis to understand the relationship between pressure and flow rate.

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 first equation calculates velocity from pressure difference, then flow rate is derived from velocity and pipe area.

3. Importance of GPM vs PSI Calculation

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

4. Using the Calculator

Tips: Enter pressure values (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: Why is the 144 factor in the equation?
A: It converts psi (lb/in²) to lb/ft² (1 ft² = 144 in²).

Q2: What's the 448.83 conversion factor?
A: It converts ft³/s to GPM (1 ft³/s = 448.83 GPM).

Q3: What's a typical water density value?
A: Pure water at 60°F is 62.4 lb/ft³. Density varies with temperature and impurities.

Q4: How do I calculate 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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