1. What is Flow Rate Formula Pressure?

Definition: This calculator determines fluid velocity and volumetric flow rate through a pipe or channel using pressure difference and fluid density.

Purpose: It's essential for engineers and technicians designing hydraulic systems, pipelines, and fluid transport systems.

2. How Does the Calculator Work?

The calculator uses two fundamental formulas:

Where:

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

Explanation: The first equation calculates velocity from pressure difference (converted to lb/ft²) and density. The second converts velocity to flow rate in gallons per minute.

3. Importance of Flow Rate Calculation

Details: Accurate flow rate prediction ensures proper system design, prevents pipe damage from excessive velocity, and verifies system performance.

4. Using the Calculator

Tips: Enter pressure values (P₁ > P₂), fluid density (default 62.4 lb/ft³ for water), and cross-sectional area. All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: Why multiply pressure by 144?
A: Converts psi to lb/ft² (1 psi = 144 lb/ft²) for consistent units in the equation.

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

Q3: What density should I use for other fluids?
A: Use 49.2 lb/ft³ for gasoline, 78.6 lb/ft³ for seawater, or consult fluid property tables.

Q4: Does this account for friction losses?
A: No, this is ideal flow. For real systems, include friction factors and pipe roughness.

Q5: What's a typical pipe velocity range?
A: Water systems typically maintain 2-8 ft/s to balance efficiency and pipe wear.