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Linear Velocity to Volumetric Flow Rate

Flow Rate Formula:

\[ Q = V \times A \times 448.83 \]

ft/s
ft²
GPM

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1. What is Linear Velocity to Volumetric Flow Rate Conversion?

Definition: This calculator converts linear velocity through a pipe or channel to volumetric flow rate in gallons per minute (GPM).

Purpose: It helps engineers and technicians determine the flow capacity of fluid systems based on velocity measurements.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ Q = V \times A \times 448.83 \]

Where:

Explanation: The velocity is multiplied by the cross-sectional area to get flow rate in ft³/s, then converted to GPM.

3. Importance of Flow Rate Calculation

Details: Accurate flow rate determination is crucial for system design, pump selection, and ensuring proper fluid delivery in piping systems.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

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

Q2: How do I find cross-sectional area?
A: For circular pipes: \( A = \pi \times r² \) where r is radius in feet.

Q3: Does this work for any fluid?
A: Yes, but ensure velocity and area units are consistent (ft/s and ft²).

Q4: What's a typical velocity range?
A: Water in pipes typically flows at 2-8 ft/s depending on application.

Q5: Can I use this for open channel flow?
A: Yes, as long as you can determine the cross-sectional area.

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