Local Sherwood Number For Flat Plate In Turbulent Flow Calculator

Formula Used:

\[ Local Sherwood Number = 0.0296 \times (Local Reynolds Number^{0.8}) \times (Schmidt Number^{0.333}) \]

Local Sherwood Number (Lsh):

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1. What is Local Sherwood Number?

The Local Sherwood Number is a dimensionless number that represents the ratio of convective mass transfer to the rate of diffusive mass transport at a specific location on a surface.

2. How Does the Calculator Work?

The calculator uses the formula for turbulent flow over a flat plate:

\[ Local Sherwood Number = 0.0296 \times (Local Reynolds Number^{0.8}) \times (Schmidt Number^{0.333}) \]

Where:

Local Reynolds Number - Ratio of inertial forces to viscous forces
Schmidt Number - Ratio of momentum diffusivity to mass diffusivity
0.0296, 0.8, 0.333 - Empirical constants for turbulent flow

Explanation: This formula calculates the local mass transfer coefficient for turbulent boundary layer flow over a flat plate surface.

3. Importance of Local Sherwood Number

Details: The Local Sherwood Number is crucial for predicting mass transfer rates in various engineering applications, including chemical processing, heat exchangers, and environmental systems where turbulent flow conditions exist.

4. Using the Calculator

Tips: Enter the Local Reynolds Number and Schmidt Number as positive values. Both values must be greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is the range of validity for this formula?
A: This formula is valid for turbulent flow conditions (Reynolds Number > 5×10⁵) over flat plates.

Q2: How does Local Sherwood Number differ from Average Sherwood Number?
A: Local Sherwood Number applies to a specific point on the surface, while Average Sherwood Number represents the mean value over the entire surface.

Q3: What factors affect the Local Sherwood Number?
A: Flow velocity, fluid properties, surface geometry, and position along the surface all influence the Local Sherwood Number.

Q4: Can this formula be used for other geometries?
A: This specific formula is derived for flat plates. Other geometries require different correlation formulas.

Q5: How accurate is this empirical correlation?
A: The correlation provides good accuracy for engineering calculations in turbulent flow conditions, typically within ±10-15% of experimental data.