1. What is Volumetric to Linear Flow Rate Conversion?

Definition: This calculator converts volumetric flow rate (gallons per minute) to linear flow rate (feet per second) through a given cross-sectional area.

Purpose: It's commonly used in fluid dynamics, chromatography, and pipe flow calculations to understand fluid velocity.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( V \) — Linear flow rate (ft/s)
• \( Q \) — Volumetric flow rate (GPM)
• \( A \) — Cross-sectional area (ft²)
• 448.83 — Conversion factor (GPM to ft³/s)

Explanation: The formula converts gallons per minute to cubic feet per second, then divides by area to get velocity.

3. Importance of Flow Rate Conversion

Details: Understanding linear flow rate helps in designing chromatography systems, pipe networks, and ensuring proper fluid velocities for various applications.

4. Using the Calculator

Tips: Enter the volumetric flow rate in GPM and the cross-sectional area in square feet. Both values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is the 448.83 conversion factor?
A: It converts gallons per minute to cubic feet per second (1 GPM = 0.002228 ft³/s, inverse is 448.83).

Q2: When is this conversion needed?
A: When you need to know fluid velocity but only have volumetric flow rate measurements.

Q3: How do I calculate cross-sectional area?
A: For circular pipes: \( A = \pi \times r^2 \) where r is radius in feet.

Q4: What's a typical linear flow rate in chromatography?
A: Typically 1-5 cm/min (0.0055-0.027 ft/s) for preparative chromatography.

Q5: Can I use this for other units?
A: No, this calculator is specific to GPM and ft² inputs. Different conversion factors are needed for other units.