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How to Calculate GPM Through a Pipe

Flow Rate Formula:

\[ Q = A \times v \times 15850.3 \]

m/s

1. What is Pipe Flow Rate Calculation?

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

Purpose: It helps engineers, plumbers, and fluid system designers properly size pipes and understand system capacity.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ Q = A \times v \times 15850.3 \]

Where:

  • \( Q \) — Flow rate (gallons per minute, gpm)
  • \( A \) — Cross-sectional area (square meters, m²)
  • \( v \) — Flow velocity (meters per second, m/s)
  • \( 15850.3 \) — Conversion factor (gpm per m³/s)

Explanation: The flow rate is calculated by multiplying the pipe's cross-sectional area by the fluid velocity, then converting from cubic meters per second to gallons per minute.

3. Importance of Flow Rate Calculation

Details: Proper flow rate estimation ensures adequate water supply, correct pump sizing, efficient system design, and prevents pipe damage from excessive velocity.

4. Using the Calculator

Tips: Enter the pipe's cross-sectional area in m² and the flow velocity in m/s. For circular pipes, area = π × (diameter/2)². All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: How do I find the cross-sectional area?
A: For circular pipes: A = π × r² (r = radius in meters). For other shapes, use appropriate area formulas.

Q2: What's a typical flow velocity?
A: Common velocities are 0.5-2.5 m/s for water in pipes, with 1-1.5 m/s being typical for residential systems.

Q3: Why use 15850.3 as conversion factor?
A: This converts m³/s to gpm (1 m³/s = 15850.3 gpm exactly).

Q4: Can I use this for other liquids?
A: Yes, but the velocity range may differ based on liquid viscosity and density.

Q5: How does pipe material affect the calculation?
A: Material affects friction losses but not this basic flow rate calculation. For pressure drop, consider pipe roughness.

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