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Calculating Flow Rate Through a Pipe

Flow Rate Equation:

\[ Q = \pi r^2 v \]

meters
m/s

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1. What is Flow Rate Through a Pipe?

The flow rate through a pipe (Q) represents the volume of fluid passing through the pipe per unit time. It's calculated using the pipe's cross-sectional area and the fluid velocity.

2. How Does the Calculator Work?

The calculator uses the flow rate equation:

\[ Q = \pi r^2 v \]

Where:

Explanation: The equation calculates flow rate by multiplying the pipe's cross-sectional area (πr²) by the fluid velocity (v).

3. Importance of Flow Rate Calculation

Details: Flow rate calculations are essential for designing piping systems, determining pump requirements, and ensuring proper fluid transport in various engineering applications.

4. Using the Calculator

Tips: Enter pipe radius in meters and fluid velocity in meters per second. Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What units should I use for the inputs?
A: The calculator uses meters for radius and meters/second for velocity, giving results in cubic meters per second (m³/s).

Q2: Does this work for any pipe shape?
A: This equation is specifically for circular pipes. For non-circular pipes, use the hydraulic diameter instead.

Q3: What's a typical flow rate for household plumbing?
A: Typical household water flow rates range from 0.0001 to 0.001 m³/s (0.1 to 1 L/s).

Q4: How does pipe roughness affect the calculation?
A: Pipe roughness affects velocity but not this direct calculation. For more accurate results, consider using the Darcy-Weisbach equation.

Q5: Can I use this for compressible fluids like gases?
A: This simple equation works best for incompressible fluids. For gases, you'll need to account for compressibility effects.

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