Local Sherwood Number for Flat Plate in Laminar Flow Solution

STEP 0: Pre-Calculation Summary
Formula Used
Local Sherwood Number = 0.332*(Local Reynolds Number^0.5)*(Schmidt Number^0.333)
Lsh = 0.332*(Rel^0.5)*(Sc^0.333)
This formula uses 3 Variables
Variables Used
Local Sherwood Number - Local Sherwood Number is the ratio of the convective mass transfer to the rate of diffusive mass transport.
Local Reynolds Number - Local Reynolds Number is the ratio of inertial forces to viscous forces.
Schmidt Number - Schmidt number (Sc) is a dimensionless number defined as the ratio of momentum diffusivity (kinematic viscosity) and mass diffusivity.
STEP 1: Convert Input(s) to Base Unit
Local Reynolds Number: 0.55 --> No Conversion Required
Schmidt Number: 12 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Lsh = 0.332*(Rel^0.5)*(Sc^0.333) --> 0.332*(0.55^0.5)*(12^0.333)
Evaluating ... ...
Lsh = 0.563231302441274
STEP 3: Convert Result to Output's Unit
0.563231302441274 --> No Conversion Required
FINAL ANSWER
0.563231302441274 0.563231 <-- Local Sherwood Number
(Calculation completed in 00.004 seconds)

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Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi
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Dayananda Sagar College of Engineering (DSCE), Bengaluru
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Mass Transfer Coefficient Calculators

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

Laminar Flow Calculators

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

Local Sherwood Number for Flat Plate in Laminar Flow Formula

Local Sherwood Number = 0.332*(Local Reynolds Number^0.5)*(Schmidt Number^0.333)
Lsh = 0.332*(Rel^0.5)*(Sc^0.333)

What is convective mass transfer?

Mass transfer by convection involves the transport of material between a boundary surface (such as solid or liquid surface) and a moving fluid or between two relatively immiscible, moving fluids.
In forced convection type the fluid moves under the influence of an external force (pressure difference)as in the case of transfer of liquids by pumps and gases by compressors.
Natural convection currents develop if there is any variation in density within the fluid phase. The density variation may be due to temperature differences or due to relatively large concentration differences.

How to Calculate Local Sherwood Number for Flat Plate in Laminar Flow?

Local Sherwood Number for Flat Plate in Laminar Flow calculator uses Local Sherwood Number = 0.332*(Local Reynolds Number^0.5)*(Schmidt Number^0.333) to calculate the Local Sherwood Number, The Local Sherwood Number for Flat Plate in Laminar Flow formula is defined as the value of Sherwood number given local Reynolds number and Schmidt number. Local Sherwood Number is denoted by Lsh symbol.

How to calculate Local Sherwood Number for Flat Plate in Laminar Flow using this online calculator? To use this online calculator for Local Sherwood Number for Flat Plate in Laminar Flow, enter Local Reynolds Number (Rel) & Schmidt Number (Sc) and hit the calculate button. Here is how the Local Sherwood Number for Flat Plate in Laminar Flow calculation can be explained with given input values -> 0.563231 = 0.332*(0.55^0.5)*(12^0.333).

FAQ

What is Local Sherwood Number for Flat Plate in Laminar Flow?
The Local Sherwood Number for Flat Plate in Laminar Flow formula is defined as the value of Sherwood number given local Reynolds number and Schmidt number and is represented as Lsh = 0.332*(Rel^0.5)*(Sc^0.333) or Local Sherwood Number = 0.332*(Local Reynolds Number^0.5)*(Schmidt Number^0.333). Local Reynolds Number is the ratio of inertial forces to viscous forces & Schmidt number (Sc) is a dimensionless number defined as the ratio of momentum diffusivity (kinematic viscosity) and mass diffusivity.
How to calculate Local Sherwood Number for Flat Plate in Laminar Flow?
The Local Sherwood Number for Flat Plate in Laminar Flow formula is defined as the value of Sherwood number given local Reynolds number and Schmidt number is calculated using Local Sherwood Number = 0.332*(Local Reynolds Number^0.5)*(Schmidt Number^0.333). To calculate Local Sherwood Number for Flat Plate in Laminar Flow, you need Local Reynolds Number (Rel) & Schmidt Number (Sc). With our tool, you need to enter the respective value for Local Reynolds Number & Schmidt Number and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Local Sherwood Number?
In this formula, Local Sherwood Number uses Local Reynolds Number & Schmidt Number. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Local Sherwood Number = 0.0296*(Local Reynolds Number^0.8)*(Schmidt Number^0.333)
  • Local Sherwood Number = 0.0296*(Local Reynolds Number^0.8)*(Schmidt Number^0.333)
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