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Volumetric Flow Rate to Velocity Calculator

Velocity Formula:

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

GPM
ft²
ft/s

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1. What is a Volumetric Flow Rate to Velocity Calculator?

Definition: This calculator converts volumetric flow rate (in gallons per minute) to fluid velocity (in feet per second) based on the cross-sectional area of flow.

Purpose: It helps engineers, plumbers, and fluid system designers determine fluid velocity in pipes and channels.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

Explanation: The flow rate is divided by the product of area and conversion factor to get velocity in consistent units.

3. Importance of Velocity Calculation

Details: Proper velocity estimation ensures efficient system design, prevents erosion or sedimentation, and maintains optimal flow conditions.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: Why is 448.83 used as 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 velocity range for water in pipes?
A: Generally 2-5 ft/s for supply lines, 5-10 ft/s for drainage, but varies by application.

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

Q4: Does this work for any fluid?
A: Yes, but the formula assumes incompressible flow. For compressible fluids, additional factors are needed.

Q5: When would I need to know fluid velocity?
A: When designing piping systems, calculating pressure drops, or ensuring flow meets system requirements.

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