1. What is the Pressure and Flow Rate Formula?

Definition: This calculator determines fluid velocity and volumetric flow rate based on pressure difference and pipe area.

Purpose: It helps engineers and technicians analyze fluid systems, particularly in piping and hydraulic applications.

2. How Does the Calculator Work?

The calculator uses two formulas:

Where:

• \( V \) — Fluid velocity (ft/s)
• \( P_1 \) — Initial pressure (psi)
• \( P_2 \) — Final pressure (psi)
• \( \rho \) — Fluid density (lb/ft³)
• \( Q \) — Flow rate (GPM)
• \( A \) — Cross-sectional area (ft²)

Explanation: The first equation calculates velocity from pressure difference, and the second converts this to volumetric flow rate.

3. Importance of Pressure-Flow Calculations

Details: Accurate flow rate calculations are essential for system design, pump sizing, and ensuring proper fluid transport in pipelines.

4. Using the Calculator

Tips: Enter pressure values (psi), fluid density (default 62.4 lb/ft³ for water), and pipe area (ft²). All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: Why is 144 in the velocity formula?
A: This converts psi (lb/in²) to lb/ft² (1 ft² = 144 in²).

Q2: What's the significance of 448.83 in flow rate?
A: This converts ft³/s to gallons per minute (1 ft³/s = 448.83 GPM).

Q3: What density should I use for other fluids?
A: Use 49.2 for gasoline, 78.6 for seawater, or look up specific densities for your fluid.

Q4: How do I calculate pipe area?
A: Area = π × (pipe radius in ft)². For diameter D in inches: A = π × (D/24)².

Q5: Does this account for friction losses?
A: No, this is ideal flow. For real systems, include friction factors and loss coefficients.