1. What is Linear to Volumetric Flow Rate Conversion?

Definition: This calculator converts linear flow velocity to volumetric flow rate in gallons per minute (GPM).

Purpose: It helps engineers and technicians determine the volumetric flow rate when only the linear velocity and pipe cross-section are known.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

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

Explanation: The linear velocity multiplied by cross-sectional 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 pipe sizing, pump selection, and system design in water distribution, HVAC, and industrial processes.

4. Using the Calculator

Tips: Enter the flow velocity in ft/s and cross-sectional area in ft². The area can be calculated as πr² for circular pipes.

5. Frequently Asked Questions (FAQ)

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

Q2: How do I find the cross-sectional area?
A: For circular pipes: A = π × (diameter/2)². For other shapes, use appropriate area formulas.

Q3: What's a typical flow velocity in pipes?
A: Common design velocities are 2-5 ft/s for water systems to avoid excessive pressure drops.

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

Q5: How accurate is this calculation?
A: It provides theoretical flow rate. Actual flow may vary due to friction, fittings, and fluid properties.