1. What is Flow from Differential Pressure Calculation?

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

Purpose: It helps engineers and technicians in fluid systems design and analysis to estimate flow rates from pressure measurements.

2. How Does the Calculator Work?

The calculator uses these formulas:

Where:

• \( V \) — Velocity (feet per second)
• \( \Delta P \) — Differential pressure (psi)
• \( \rho \) — Fluid density (pounds per cubic foot)
• \( Q \) — Flow rate (gallons per minute)
• \( A \) — Cross-sectional area (square feet)

Explanation: The first equation calculates velocity from pressure difference using Bernoulli's principle, the second converts velocity to flow rate.

3. Importance of Flow Calculation

Details: Accurate flow estimation is critical for system design, pump sizing, process control, and troubleshooting fluid systems.

4. Using the Calculator

Tips: Enter the pressure difference in psi, fluid density (default 62.4 lb/ft³ for water), and cross-sectional area. All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What's the 144 factor in the equation?
A: It converts psi to psf (pounds per square foot) since 1 psi = 144 psf.

Q2: What's the 448.83 conversion factor?
A: This converts cubic feet per second to gallons per minute (1 ft³/s = 448.83 GPM).

Q3: When is this calculation most accurate?
A: For incompressible fluids (liquids) in steady, turbulent flow through pipes or orifices.

Q4: How do I find the cross-sectional area?
A: For circular pipes, A = π × (diameter/2)². Convert diameter from inches to feet.

Q5: Does this account for friction losses?
A: No, this is the theoretical maximum flow. Actual flow will be less due to friction and other losses.