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Calculating Flow Velocity In Pipe

Flow Velocity Formula:

\[ v = \frac{Q}{\pi \times r^2} \]

m³/s
m

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1. What is Flow Velocity in Pipe?

Flow velocity in a pipe represents the speed at which a fluid flows through the pipe's cross-sectional area. It is a fundamental parameter in fluid dynamics and pipe system design.

2. How Does the Calculator Work?

The calculator uses the flow velocity formula:

\[ v = \frac{Q}{\pi \times r^2} \]

Where:

Explanation: The formula calculates velocity by dividing the volumetric flow rate by the cross-sectional area of the pipe.

3. Importance of Flow Velocity Calculation

Details: Calculating flow velocity is essential for designing efficient piping systems, determining pressure drops, ensuring proper fluid transport, and avoiding issues like erosion or sedimentation in pipes.

4. Using the Calculator

Tips: Enter flow rate in m³/s and pipe radius in meters. Both values must be positive numbers greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is the typical range of flow velocities in pipes?
A: Typical flow velocities range from 0.5-3 m/s for water systems, though optimal values depend on the specific application and fluid properties.

Q2: How does pipe diameter affect flow velocity?
A: For a constant flow rate, velocity increases as pipe diameter decreases, following an inverse square relationship.

Q3: Can this formula be used for any fluid?
A: Yes, the formula applies to any incompressible fluid, though the units must be consistent (m³/s for flow rate, m for radius).

Q4: What if I have pipe diameter instead of radius?
A: Simply divide the diameter by 2 to get the radius before using the calculator.

Q5: How does viscosity affect flow velocity?
A: While this basic formula doesn't account for viscosity, in real applications, viscosity affects the flow profile and pressure drop, which may influence the actual velocity distribution.

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