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Average Sherwood Number Of Internal Turbulent Flow Calculator

Average Sherwood Number Formula:

\[ N_{sh} = 0.023 \times (Re^{0.83}) \times (Sc^{0.44}) \]

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1. What is the Average Sherwood Number?

The Average Sherwood Number is a dimensionless number that represents the ratio of convective mass transfer to the rate of diffusive mass transport. It is used in mass transfer operations to characterize the efficiency of mass transfer in fluid systems.

2. How Does the Calculator Work?

The calculator uses the Average Sherwood Number formula for internal turbulent flow:

\[ N_{sh} = 0.023 \times (Re^{0.83}) \times (Sc^{0.44}) \]

Where:

Explanation: This empirical correlation relates the Sherwood number to the Reynolds and Schmidt numbers for turbulent flow conditions in internal flows such as pipes and ducts.

3. Importance of Sherwood Number Calculation

Details: The Sherwood number is crucial for designing and analyzing mass transfer equipment such as absorbers, strippers, and mass exchangers. It helps predict mass transfer coefficients and optimize process efficiency.

4. Using the Calculator

Tips: Enter Reynolds Number and Schmidt Number as positive dimensionless 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 correlation?
A: This correlation is typically valid for Reynolds numbers greater than 10,000 (turbulent flow) and Schmidt numbers between 0.6 and 3000.

Q2: How does the Sherwood number relate to the Nusselt number?
A: The Sherwood number is the mass transfer analog of the Nusselt number in heat transfer. Both represent the ratio of convective to diffusive transport.

Q3: What factors affect the Sherwood number?
A: Flow regime (laminar/turbulent), geometry, fluid properties, and boundary conditions all influence the Sherwood number value.

Q4: When is this correlation most applicable?
A: This specific correlation is most applicable for fully developed turbulent flow in smooth circular pipes with constant wall concentration.

Q5: Are there limitations to this equation?
A: This correlation may not be accurate for non-circular ducts, rough surfaces, or flows with significant entrance effects or developing boundary layers.

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