1. What is the Volumetric Flow Rate Equation?

Definition: This calculator determines the volumetric flow rate (in gallons per minute) based on fluid velocity and cross-sectional area.

Purpose: It helps engineers and technicians calculate flow rates in piping systems and hydraulic applications.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( Q \) — Volumetric flow rate (gallons per minute, GPM)
• \( V \) — Fluid velocity (feet per second, ft/s)
• \( A \) — Cross-sectional area (square feet, ft²)
• 448.83 — Conversion factor (from ft³/s to GPM)

Explanation: The velocity multiplied by area gives flow in ft³/s, which is then converted to GPM.

3. Importance of Flow Rate Calculation

Details: Accurate flow rate calculations are essential for proper system design, pump selection, and ensuring adequate fluid delivery.

4. Using the Calculator

Tips: Enter the fluid velocity in ft/s and the cross-sectional area in ft². All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What does the 448.83 conversion factor represent?
A: It converts cubic feet per second to gallons per minute (1 ft³/s = 448.83 GPM).

Q2: How do I calculate cross-sectional area?
A: For circular pipes: \( A = \pi \times r^2 \) where r is the radius in feet.

Q3: What's a typical velocity for water in pipes?
A: Typically 2-8 ft/s, with 4-6 ft/s being common for many applications.

Q4: Can I use this for gases?
A: This formula works for incompressible fluids. For gases, additional factors like compressibility must be considered.

Q5: How does pipe diameter affect flow rate?
A: Flow rate increases with the square of the diameter (double diameter = 4x flow rate at same velocity).