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GPM to Pressure Conversion

Pressure Conversion Formulas:

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

GPM
ft²
lb/ft³
ft/s
psi

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1. What is GPM to Pressure Conversion?

Definition: This calculator converts flow rate in gallons per minute (GPM) to pressure in pounds per square inch (psi) using fluid velocity and pipe area.

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

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:

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

3. Importance of Flow 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 flow rate in GPM, pipe 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 is density important?
A: Heavier fluids create more pressure at the same velocity. Water at 62.4 lb/ft³ is the common reference.

Q3: Does this account for pipe friction?
A: No, this calculates dynamic pressure only. System pressure would include static pressure minus friction losses.

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

Q5: What's a typical velocity range?
A: Most systems design for 5-10 ft/s velocity to balance pressure drop and erosion concerns.

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