1. What is a Differential Pressure to Flow Calculator?

Definition: This calculator converts differential pressure measurements into fluid flow rate (GPM) using fundamental fluid dynamics equations.

Purpose: It helps engineers and technicians determine flow rates in pipes and ducts when only pressure measurements are available.

2. How Does the Calculator Work?

The calculator uses two key formulas:

Where:

• \( V \) — Fluid 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 using Bernoulli's principle, then converts to flow rate considering the pipe area.

3. Importance of Flow Rate Calculation

Details: Accurate flow rate determination is essential for system design, performance monitoring, and troubleshooting in hydraulic and pneumatic systems.

4. Using the Calculator

Tips: Enter the pressure differential 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: This converts psi (lb/in²) to lb/ft² (1 ft² = 144 in²).

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

Q3: What density should I use for other fluids?
A: Use 62.4 for water, ~49 for gasoline, ~58 for diesel, or consult fluid property tables.

Q4: Does this account for friction losses?
A: No, this is ideal flow. For real-world applications, consider adding a discharge coefficient (Cd).

Q5: How do I calculate pipe area?
A: For circular pipes: \( A = \pi \times (D/2)^2 \) where D is diameter in feet.