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Flow Rate to Velocity Equation

Velocity Formula:

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

GPM
ft²
ft/s

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1. What is the Flow Rate to Velocity Equation?

Definition: This calculator converts volumetric flow rate (GPM) to fluid velocity (ft/s) using the pipe's cross-sectional area.

Purpose: It helps engineers and technicians determine fluid velocity in pipes and channels for system design and analysis.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

Explanation: The flow rate is converted from GPM to cubic feet per second, then divided by the cross-sectional area to get velocity.

3. Importance of Velocity Calculation

Details: Knowing fluid velocity is crucial for determining pressure drops, ensuring proper flow characteristics, and avoiding issues like erosion or sedimentation.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

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

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

Q3: What's a typical velocity range for water in pipes?
A: Generally 2-8 ft/s for water, with 4-6 ft/s being most common in supply lines.

Q4: Does this work for any fluid?
A: Yes, but the constant assumes US gallons. For other units, different conversion factors apply.

Q5: When would I need this calculation?
A: When designing piping systems, selecting pump sizes, or troubleshooting flow issues.

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