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Flow Rate Equation Fluids

Fluid Flow Rate Formula:

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

ft/s
ft²
GPM

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1. What is the Flow Rate Equation for Fluids?

Definition: This calculator determines the volumetric flow rate of a fluid in gallons per minute (GPM) based on velocity and cross-sectional area.

Purpose: It helps engineers, plumbers, and fluid system designers calculate flow rates in pipes and channels.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

Explanation: The formula converts the basic volumetric flow rate (V × A) from cubic feet per second to gallons per minute.

3. Importance of Flow Rate Calculation

Details: Accurate flow rate calculations are essential 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. All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: Why is the conversion factor 448.83?
A: It combines 7.48052 (gallons per cubic foot) and 60 (seconds per minute): 7.48052 × 60 ≈ 448.83.

Q2: How do I find the cross-sectional area?
A: For circular pipes: \( A = \pi \times r^2 \) where r is the radius in feet.

Q3: What's a typical velocity for water in pipes?
A: Residential plumbing: 4-8 ft/s, Industrial systems: up to 10 ft/s depending on application.

Q4: Can this be used for any fluid?
A: Yes, but the velocity should be appropriate for the specific fluid's viscosity and the system's requirements.

Q5: How does pipe material affect the calculation?
A: Material affects friction loss but not this basic calculation. For complete system design, consider additional factors.

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