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Volumetric Flow Rate Equations

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: This calculation is essential in fluid dynamics, piping systems, and hydraulic engineering to determine flow capacity.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

Explanation: The formula calculates flow rate by multiplying velocity by cross-sectional area, then converting to gallons per minute.

3. Importance of Flow Rate Calculation

Details: Accurate flow rate calculations ensure proper system design, pump sizing, and process control in fluid systems.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

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

Q2: How do I measure cross-sectional area?
A: For pipes, use \( A = \pi r² \) where r is the pipe radius in feet.

Q3: What's a typical velocity for water in pipes?
A: Typically 2-8 ft/s for water, depending on pipe size and application.

Q4: Can I use this for gases?
A: This formula works for incompressible fluids. For gases, additional factors like compressibility must be considered.

Q5: How accurate is this calculation?
A: It provides theoretical flow rate. Actual flow may vary due to friction, turbulence, and other factors.

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