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Flow Velocity Through Pipe Calculator

Flow Velocity Formula:

\[ v = \frac{Q}{A} \]

m³/s

1. What is Flow Velocity Through Pipe Calculator?

Definition: This calculator determines the velocity of fluid flowing through a pipe based on the flow rate and cross-sectional area.

Purpose: It helps engineers, plumbers, and fluid system designers calculate how fast fluid moves through pipes in various applications.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ v = \frac{Q}{A} \]

Where:

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

Explanation: The flow rate is divided by the pipe's cross-sectional area to determine the average velocity of the fluid.

3. Importance of Flow Velocity Calculation

Details: Proper velocity calculation ensures efficient system design, prevents pipe erosion, and maintains optimal flow conditions.

4. Using the Calculator

Tips: Enter the flow rate in m³/s and the pipe's cross-sectional area in m². All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: How do I calculate cross-sectional area for a circular pipe?
A: Use the formula \( A = \pi r² \) where r is the pipe's inner radius.

Q2: What's a typical flow velocity for water in pipes?
A: For water, typical velocities range from 0.5-3 m/s in residential systems and up to 5 m/s in industrial applications.

Q3: Does this calculator work for gases?
A: Yes, the same formula applies to any fluid (liquid or gas) as long as you use consistent units.

Q4: What if I know diameter instead of area?
A: First calculate area using \( A = \pi (d/2)² \) where d is the inner diameter.

Q5: How does velocity relate to pressure?
A: According to Bernoulli's principle, higher velocity generally means lower pressure in horizontal pipes.

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