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Rate of Flow of Liquid Formula

Liquid Flow Rate Formula:

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

ft/s
ft²
GPM

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1. What is the Rate of Flow of Liquid Formula?

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

Purpose: It helps engineers, plumbers, and fluid system designers calculate liquid 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 liquid supply in piping systems.

4. Using the Calculator

Tips: Enter the liquid 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 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 = π × (diameter/2)². For rectangular channels: A = width × height.

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 gases?
A: No, this formula is for incompressible liquids. Gases require different calculations accounting for compressibility.

Q5: How accurate is this calculation?
A: It provides theoretical flow. Actual flow may vary due to friction, viscosity, and pipe roughness.

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