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Volumetric Flow Rate Equation Calculator

Volumetric Flow Rate Formula:

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

ft/s
ft²
GPM

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1. What is Volumetric Flow Rate?

Definition: Volumetric flow rate measures the volume of fluid that passes through a given surface per unit time.

Purpose: It's essential for designing and analyzing fluid systems in engineering, plumbing, and industrial 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 gallons per minute (GPM).

3. Importance of Flow Rate Calculation

Details: Accurate flow rate calculations ensure proper system design, pump sizing, and pipe diameter selection for efficient fluid transport.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

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

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

Q3: What's a typical velocity for water in pipes?
A: Typically 2-8 ft/s, with 4-6 ft/s being common for optimal flow.

Q4: Can I use this for gases?
A: This calculates volumetric flow; for gases, consider using mass flow rate for more accuracy.

Q5: How does pipe diameter affect flow rate?
A: Flow rate increases with the square of the diameter (double diameter = 4x flow rate at same velocity).

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