Mass Transfer Boundary Layer Thickness of Flat Plate in Laminar Flow Solution

STEP 0: Pre-Calculation Summary
Formula Used
Mass Transfer Boundary Layer Thickness at x = Hydrodynamic Boundary Layer Thickness*(Schmidt Number^(-0.333))
δmx = 𝛿hx*(Sc^(-0.333))
This formula uses 3 Variables
Variables Used
Mass Transfer Boundary Layer Thickness at x - Mass Transfer Boundary Layer Thickness at x is the thickness of the layer where mass transfer occurs in a fluid flowing in a laminar flow regime.
Hydrodynamic Boundary Layer Thickness - (Measured in Meter) - Hydrodynamic Boundary Layer Thickness is the thickness of the layer in a fluid where the flow is smooth and continuous, near a solid boundary in laminar flow.
Schmidt Number - Schmidt Number is a dimensionless number used to characterize fluid flows, particularly in laminar flow, to describe the ratio of momentum diffusivity to mass diffusivity.
STEP 1: Convert Input(s) to Base Unit
Hydrodynamic Boundary Layer Thickness: 8.5 Meter --> 8.5 Meter No Conversion Required
Schmidt Number: 12 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
δmx = 𝛿hx*(Sc^(-0.333)) --> 8.5*(12^(-0.333))
Evaluating ... ...
δmx = 3.71579350079998
STEP 3: Convert Result to Output's Unit
3.71579350079998 --> No Conversion Required
FINAL ANSWER
3.71579350079998 3.715794 <-- Mass Transfer Boundary Layer Thickness at x
(Calculation completed in 00.020 seconds)

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Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi
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Mass Transfer Coefficient Calculators

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​ LaTeX ​ Go Convective Mass Transfer Coefficient = (Drag Coefficient*Free Stream Velocity)/(2*(Schmidt Number^0.67))
Average Sherwood Number of Combined Laminar and Turbulent Flow
​ LaTeX ​ Go Average Sherwood Number = ((0.037*(Reynolds Number^0.8))-871)*(Schmidt Number^0.333)
Average Sherwood Number of Internal Turbulent Flow
​ LaTeX ​ Go Average Sherwood Number = 0.023*(Reynolds Number^0.83)*(Schmidt Number^0.44)
Average Sherwood Number of Flat Plate Turbulent Flow
​ LaTeX ​ Go Average Sherwood Number = 0.037*(Reynolds Number^0.8)

Important Formulas in Mass Transfer Coefficient, Driving Force and Theories Calculators

Convective Mass Transfer Coefficient
​ LaTeX ​ Go Convective Mass Transfer Coefficient = Mass Flux of Diffusion Component A/(Mass Concentration of Component A in Mixture 1-Mass Concentration of Component A in Mixture 2)
Average Sherwood Number of Combined Laminar and Turbulent Flow
​ LaTeX ​ Go Average Sherwood Number = ((0.037*(Reynolds Number^0.8))-871)*(Schmidt Number^0.333)
Average Sherwood Number of Internal Turbulent Flow
​ LaTeX ​ Go Average Sherwood Number = 0.023*(Reynolds Number^0.83)*(Schmidt Number^0.44)
Average Sherwood Number of Flat Plate Turbulent Flow
​ LaTeX ​ Go Average Sherwood Number = 0.037*(Reynolds Number^0.8)

Laminar Flow Calculators

Mass Transfer Boundary Layer Thickness of Flat Plate in Laminar Flow
​ LaTeX ​ Go Mass Transfer Boundary Layer Thickness at x = Hydrodynamic Boundary Layer Thickness*(Schmidt Number^(-0.333))
Local Sherwood Number for Flat Plate in Laminar Flow
​ LaTeX ​ Go Local Sherwood Number = 0.332*(Local Reynolds Number^0.5)*(Schmidt Number^0.333)
Sherwood Number for Flat Plate in Laminar Flow
​ LaTeX ​ Go Average Sherwood Number = 0.664*(Reynolds Number^0.5)*(Schmidt Number^0.333)
Drag coefficient of flat plate laminar flow
​ LaTeX ​ Go Drag Coefficient = 0.644/(Reynolds Number^0.5)

Mass Transfer Boundary Layer Thickness of Flat Plate in Laminar Flow Formula

​LaTeX ​Go
Mass Transfer Boundary Layer Thickness at x = Hydrodynamic Boundary Layer Thickness*(Schmidt Number^(-0.333))
δmx = 𝛿hx*(Sc^(-0.333))

What is Mass Transfer Boundary Layer Thickness?

Mass transfer boundary layer thickness refers to the distance from a solid surface into a fluid where the concentration of a species (such as a solute or gas) changes significantly from its value at the surface to that of the bulk fluid. Within this boundary layer, mass transfer occurs primarily due to diffusion and convection. The thickness of this layer is influenced by factors such as fluid velocity, fluid properties, temperature, and surface roughness. A thinner boundary layer indicates more efficient mass transfer, as the concentration gradient is steeper, promoting faster diffusion. Understanding the mass transfer boundary layer thickness is essential in designing systems like chemical reactors, heat exchangers, and filtration processes, where optimizing mass transfer is crucial for overall performance.






How to Calculate Mass Transfer Boundary Layer Thickness of Flat Plate in Laminar Flow?

Mass Transfer Boundary Layer Thickness of Flat Plate in Laminar Flow calculator uses Mass Transfer Boundary Layer Thickness at x = Hydrodynamic Boundary Layer Thickness*(Schmidt Number^(-0.333)) to calculate the Mass Transfer Boundary Layer Thickness at x, Mass Transfer Boundary Layer Thickness of Flat Plate in Laminar Flow formula is defined as the thickness of the boundary layer where mass transfer occurs in a flat plate under laminar flow conditions, which is an important parameter in understanding convective mass transfer phenomena. Mass Transfer Boundary Layer Thickness at x is denoted by δmx symbol.

How to calculate Mass Transfer Boundary Layer Thickness of Flat Plate in Laminar Flow using this online calculator? To use this online calculator for Mass Transfer Boundary Layer Thickness of Flat Plate in Laminar Flow, enter Hydrodynamic Boundary Layer Thickness (𝛿hx) & Schmidt Number (Sc) and hit the calculate button. Here is how the Mass Transfer Boundary Layer Thickness of Flat Plate in Laminar Flow calculation can be explained with given input values -> 3.715794 = 8.5*(12^(-0.333)).

FAQ

What is Mass Transfer Boundary Layer Thickness of Flat Plate in Laminar Flow?
Mass Transfer Boundary Layer Thickness of Flat Plate in Laminar Flow formula is defined as the thickness of the boundary layer where mass transfer occurs in a flat plate under laminar flow conditions, which is an important parameter in understanding convective mass transfer phenomena and is represented as δmx = 𝛿hx*(Sc^(-0.333)) or Mass Transfer Boundary Layer Thickness at x = Hydrodynamic Boundary Layer Thickness*(Schmidt Number^(-0.333)). Hydrodynamic Boundary Layer Thickness is the thickness of the layer in a fluid where the flow is smooth and continuous, near a solid boundary in laminar flow & Schmidt Number is a dimensionless number used to characterize fluid flows, particularly in laminar flow, to describe the ratio of momentum diffusivity to mass diffusivity.
How to calculate Mass Transfer Boundary Layer Thickness of Flat Plate in Laminar Flow?
Mass Transfer Boundary Layer Thickness of Flat Plate in Laminar Flow formula is defined as the thickness of the boundary layer where mass transfer occurs in a flat plate under laminar flow conditions, which is an important parameter in understanding convective mass transfer phenomena is calculated using Mass Transfer Boundary Layer Thickness at x = Hydrodynamic Boundary Layer Thickness*(Schmidt Number^(-0.333)). To calculate Mass Transfer Boundary Layer Thickness of Flat Plate in Laminar Flow, you need Hydrodynamic Boundary Layer Thickness (𝛿hx) & Schmidt Number (Sc). With our tool, you need to enter the respective value for Hydrodynamic Boundary Layer Thickness & Schmidt Number and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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