1. What is a Flow Rate to Pressure Calculator?

Definition: This calculator converts flow rate in gallons per minute (GPM) to pressure in pounds per square inch (psi) using fluid dynamics principles.

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

2. How Does the Calculator Work?

The calculator uses two formulas:

Where:

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

Explanation: First converts flow rate to velocity, then calculates dynamic pressure based on velocity and fluid density.

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 and accounts for the area unit (1 GPM = 0.002228 ft³/s, 1/0.002228 ≈ 448.83).

Q2: Why is density important in pressure calculation?
A: Heavier fluids (higher density) generate more pressure at the same velocity than lighter fluids.

Q3: Does this account for friction losses?
A: No, this calculates only dynamic pressure. For complete system analysis, include friction losses.

Q4: What's a typical velocity range for water in pipes?
A: Typically 2-8 ft/s for water in most applications to balance pressure drop and erosion.

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