1. What is Flow Rate from Pressure Calculator?

Definition: This calculator determines the flow rate (in gallons per minute) based on pressure difference, fluid density, and cross-sectional area.

Purpose: It helps engineers and technicians calculate fluid flow rates in pipes and channels using pressure measurements.

2. How Does the Calculator Work?

The calculator uses these formulas:

Where:

• \( V \) — Velocity (feet per second)
• \( P_1 \) — Upstream pressure (psi)
• \( P_2 \) — Downstream pressure (psi)
• \( \rho \) — Fluid density (pounds per cubic foot)
• \( Q \) — Flow rate (gallons per minute)
• \( A \) — Cross-sectional area (square feet)

Explanation: The pressure difference is converted to velocity, which is then multiplied by area and a conversion factor to get flow rate.

3. Importance of Flow Rate Calculation

Details: Accurate flow rate determination is crucial for system design, pump sizing, and process control in fluid systems.

4. Using the Calculator

Tips: Enter both pressure values, fluid density (default 62.4 lb/ft³ for water), and cross-sectional area. All values must be positive.

5. Frequently Asked Questions (FAQ)

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

Q2: Why 448.83 in the flow rate formula?
A: This converts cubic feet per second to gallons per minute (1 ft³/s = 448.83 GPM).

Q3: What's a typical density for water?
A: Fresh water at 60°F is approximately 62.4 lb/ft³. Saltwater is about 64 lb/ft³.

Q4: How do I find the cross-sectional area?
A: For circular pipes, use \( A = \pi \times (diameter/2)^2 \).

Q5: Does this work for compressible fluids?
A: This simplified formula works best for incompressible fluids like liquids. Gases require more complex calculations.