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Volume Flow Rate Equation Calculator

Volume Flow Rate Formula:

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

ft/s
ft²
GPM

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1. What Is Volume Flow Rate Equation?

Definition: This equation calculates the volumetric flow rate (Q) in gallons per minute (GPM) based on fluid velocity and cross-sectional area.

Purpose: It's essential for hydraulic system design, pipe sizing, and fluid dynamics calculations in engineering applications.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

Explanation: The velocity multiplied by area gives flow in ft³/s, which is then converted to GPM.

3. Importance of Flow Rate Calculation

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

4. Using the Calculator

Tips: Enter the fluid velocity in ft/s and the pipe's cross-sectional area in ft². Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

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

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 for water in pipes?
A: 2-5 ft/s for residential systems, up to 10 ft/s for industrial applications.

Q4: Can this be used for gases?
A: Yes, but gas flow calculations often require additional factors for compressibility.

Q5: How does pipe material affect the calculation?
A: Material affects velocity through friction loss but not the basic flow rate equation.

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