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Reynolds Number Given Friction Factor For Laminar Flow Calculator

Formula Used:

\[ \text{Reynolds Number} = \frac{64}{\text{Friction Factor in Duct}} \] \[ Re = \frac{64}{f} \]

(dimensionless)

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1. What is Reynolds Number?

Reynolds Number is the ratio of inertial forces to viscous forces within a fluid which is subjected to relative internal movement due to different fluid velocities. It's a dimensionless quantity used to predict flow patterns in different fluid flow situations.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ Re = \frac{64}{f} \]

Where:

Explanation: This formula specifically applies to laminar flow conditions where the friction factor is inversely proportional to the Reynolds Number.

3. Importance of Reynolds Number Calculation

Details: Reynolds Number is crucial for determining whether fluid flow is laminar or turbulent, which affects pressure drop, heat transfer, and mixing characteristics in fluid systems.

4. Using the Calculator

Tips: Enter the friction factor value (must be greater than 0). The calculator will compute the corresponding Reynolds Number for laminar flow conditions.

5. Frequently Asked Questions (FAQ)

Q1: What range of Reynolds Number indicates laminar flow?
A: For flow in circular pipes, Reynolds Number below 2300 typically indicates laminar flow.

Q2: Why is 64 used in the numerator?
A: For laminar flow in circular pipes, the friction factor is exactly 64/Re, hence Re = 64/f.

Q3: Does this formula work for non-circular ducts?
A: This specific formula is derived for circular pipes. For non-circular ducts, equivalent diameter concepts and different correlations may be needed.

Q4: What are typical friction factor values for laminar flow?
A: Friction factors for laminar flow typically range from about 0.01 to 0.1, corresponding to Reynolds Numbers from 6400 to 640.

Q5: When is this formula not applicable?
A: This formula is only valid for laminar flow conditions. For turbulent flow, different friction factor correlations (like Colebrook equation) must be used.

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