Volumetric Flow Rate to Linear Flow Rate

Flow Rate Conversion Formula:

\[ V = \frac{Q}{A \times 448.83} \]

Linear Flow Rate (V): ft/s

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1. What is Volumetric to Linear Flow Rate Conversion?

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

Purpose: It helps engineers and technicians determine fluid velocity in pipes and channels when only the volumetric flow rate is known.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ V = \frac{Q}{A \times 448.83} \]

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 GPM to ft³/s (by dividing by 448.83) and then divides by area to get velocity.

3. Importance of Flow Rate Conversion

Details: Knowing linear flow rate is crucial for determining Reynolds number, pressure drop calculations, and ensuring flow stays within recommended velocity ranges.

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

Q2: What's a typical pipe flow velocity?
A: For water, 2-5 ft/s is common in pipes to balance friction losses and sedimentation.

Q3: Can I use this for any fluid?
A: Yes, but the formula assumes incompressible flow. For compressible fluids, additional factors are needed.

Q4: How do I find cross-sectional area?
A: For pipes: A = π × (diameter/2)². For rectangular channels: A = width × height.

Q5: What if I have flow in m³/s?
A: First convert to GPM (1 m³/s = 15850.3 GPM) or modify the formula to use consistent units.