Differential Pressure to Flow Rate Calculator

Flow Rate Formulas:

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

Velocity (V): ft/s

Flow Rate (Q): GPM

Definition: This calculator estimates fluid flow rate (GPM) based on differential pressure, fluid density, and pipe cross-sectional area.

Purpose: It helps engineers and technicians determine flow rates in piping systems using pressure drop measurements.

The calculator uses these formulas:

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

Where:

Explanation: The first equation calculates velocity from pressure drop, the second converts velocity to flow rate.

Details: Accurate flow rate determination is essential for system design, performance evaluation, and troubleshooting.

Tips: Enter differential pressure (psi), fluid density (default 62.4 lb/ft³ for water), and cross-sectional area (ft²). All values must be > 0.

Q1: What's the 144 factor in the equation?
A: This converts psi to lb/ft² (1 psi = 144 lb/ft²).

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

Q3: What's a typical density for water?
A: Water at 60°F has a density of 62.4 lb/ft³.

Q4: How do I calculate cross-sectional area?
A: For circular pipes: \( A = \pi \times (D/2)^2 \) where D is diameter in feet.

Q5: Does this work for all fluids?
A: Yes, but you must use the correct density for your specific fluid.