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Local Skin Friction Coefficient For Turbulent Flow On Flat Plates Calculator

Formula Used:

\[ C_{fx} = 0.0592 \times Re_l^{-1/5} \]

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1. What is Local Skin Friction Coefficient?

The Local Skin Friction Coefficient (Cfx) for turbulent flow on flat plates represents the ratio of wall shearing stress to the dynamic head of the stream. It quantifies the frictional resistance experienced by fluid flowing over a surface.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ C_{fx} = 0.0592 \times Re_l^{-1/5} \]

Where:

Explanation: This empirical correlation describes the relationship between local skin friction and Reynolds number for turbulent boundary layer flow over flat plates.

3. Importance of Local Skin Friction Coefficient

Details: Accurate calculation of skin friction coefficient is crucial for predicting drag forces on surfaces, designing efficient fluid systems, and analyzing heat transfer characteristics in various engineering applications.

4. Using the Calculator

Tips: Enter the Local Reynolds Number value. The value must be valid (greater than 0). The calculator will compute the corresponding Local Skin Friction Coefficient.

5. Frequently Asked Questions (FAQ)

Q1: What is the range of validity for this formula?
A: This formula is valid for turbulent flow with Reynolds numbers typically between 5×105 and 107.

Q2: How does this differ from average skin friction coefficient?
A: Local skin friction coefficient varies along the plate length, while average coefficient represents the integrated value over the entire plate surface.

Q3: What factors affect the skin friction coefficient?
A: Surface roughness, flow velocity, fluid properties, and Reynolds number significantly influence the skin friction coefficient.

Q4: Can this formula be used for rough surfaces?
A: No, this formula is specifically for smooth flat plates. Different correlations exist for rough surfaces.

Q5: How accurate is this empirical correlation?
A: This correlation provides good accuracy for engineering calculations within its valid range, typically within ±5% of experimental data.

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