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Pipe Flow Calculation Formula

Flow Rate Formula:

\[ Q = A \times v \]

m/s
m³/s

1. What is the Pipe Flow Calculation Formula?

Definition: This calculator computes the volumetric flow rate (Q) through a pipe based on the cross-sectional area (A) and flow velocity (v).

Purpose: It helps engineers, plumbers, and fluid system designers determine the flow capacity of pipes in various applications.

2. How Does the Calculator Work?

The calculator uses the fundamental flow rate formula:

\[ Q = A \times v \]

Where:

  • \( Q \) — Volumetric flow rate (cubic meters per second, m³/s)
  • \( A \) — Cross-sectional area of the pipe (square meters, m²)
  • \( v \) — Flow velocity (meters per second, m/s)

Explanation: The flow rate equals the pipe's internal area multiplied by the average velocity of the fluid.

3. Importance of Flow Rate Calculation

Details: Accurate flow rate calculations ensure proper pipe sizing, efficient system design, and compliance with engineering standards.

4. Using the Calculator

Tips: Enter the pipe's cross-sectional area in m² and the fluid velocity in m/s. Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: How do I calculate cross-sectional area for a circular pipe?
A: Use \( A = \pi r² \) where r is the pipe's internal radius, or \( A = \pi d²/4 \) where d is the internal diameter.

Q2: What's a typical velocity for water in pipes?
A: Domestic water systems typically use 0.5-2.5 m/s, while industrial systems may go higher (up to 3 m/s for water).

Q3: Does this work for gases as well as liquids?
A: Yes, the formula applies to any fluid, though gas calculations often require additional factors for compressibility.

Q4: How does pipe material affect the calculation?
A: Material affects friction losses but not this basic flow calculation. For complete system design, consider the Hazen-Williams or Darcy-Weisbach equations.

Q5: What if I know the flow rate and need to find velocity?
A: Rearrange the formula: \( v = Q / A \). Our calculator can be used in reverse by entering known values.

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