Convective Mass Transfer Coefficient Of Flat Plate Laminar Flow Using Drag Coefficient Calculator

Formula Used:

\[ k_L = \frac{C_D \cdot u_{\infty}}{2 \cdot Sc^{0.67}} \]

Convective Mass Transfer Coefficient (k_L):

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1. What is Convective Mass Transfer Coefficient?

The Convective Mass Transfer Coefficient is a function of the geometry of the system and the velocity and properties of the fluid similar to the heat transfer coefficient. It quantifies the rate of mass transfer between a surface and a fluid moving past it.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ k_L = \frac{C_D \cdot u_{\infty}}{2 \cdot Sc^{0.67}} \]

Where:

\( k_L \) — Convective Mass Transfer Coefficient (m/s)
\( C_D \) — Drag Coefficient (dimensionless)
\( u_{\infty} \) — Free Stream Velocity (m/s)
\( Sc \) — Schmidt Number (dimensionless)

Explanation: This formula relates the mass transfer coefficient to the drag coefficient, free stream velocity, and Schmidt number for laminar flow over a flat plate.

3. Importance of Mass Transfer Coefficient Calculation

Details: Accurate calculation of mass transfer coefficient is crucial for designing chemical processes, predicting mass transfer rates in various engineering applications, and analyzing transport phenomena in fluid systems.

4. Using the Calculator

Tips: Enter drag coefficient (dimensionless), free stream velocity in m/s, and Schmidt number (dimensionless). All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the typical range of Convective Mass Transfer Coefficient?
A: The values typically range from 10^-6 to 10^-2 m/s depending on the system and flow conditions.

Q2: How does Schmidt number affect mass transfer?
A: Higher Schmidt numbers indicate that momentum diffusivity dominates over mass diffusivity, which generally reduces the mass transfer coefficient.

Q3: When is this formula applicable?
A: This formula is specifically for laminar flow over a flat plate using drag coefficient correlations.

Q4: What are the limitations of this approach?
A: This approach is limited to laminar flow conditions and may not be accurate for turbulent flow or complex geometries.

Q5: How does drag coefficient relate to mass transfer?
A: The drag coefficient provides information about the fluid resistance, which is related to the boundary layer characteristics that govern mass transfer rates.