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 a dimensionless quantity used to characterize the convective mass transport in laminar flow, indicating the ratio of convective to diffusive mass transport.
Local Reynolds Number - Local Reynolds Number is a dimensionless quantity used to predict the nature of fluid flow, specifically in laminar flow, to determine the flow characteristics.
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
Local Reynolds Number: 1.10961 --> 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*(1.10961^0.5)*(12^0.333)
Evaluating ... ...
Lsh = 0.800001165397039
STEP 3: Convert Result to Output's Unit
0.800001165397039 --> No Conversion Required
FINAL ANSWER
0.800001165397039 0.800001 <-- 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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​ 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
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Laminar Flow Calculators

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Sherwood Number for Flat Plate in Laminar Flow
​ LaTeX ​ Go Average Sherwood Number = 0.664*(Reynolds Number^0.5)*(Schmidt Number^0.333)
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Local Sherwood Number for Flat Plate in Laminar Flow Formula

​LaTeX ​Go
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 Local Sherwood Number?

The local Sherwood number is a dimensionless parameter used in mass transfer analysis to characterize the mass transfer rate at a specific location on a surface in relation to the concentration gradient. It is defined as the ratio of the convective mass transfer coefficient to the diffusion coefficient, reflecting the relative importance of convective and diffusive mass transfer processes. The local Sherwood number varies along a surface depending on factors such as flow conditions, surface geometry, and concentration gradients. It is particularly useful in designing and optimizing processes involving mass transfer, such as chemical reactors, heat exchangers, and absorption systems. Understanding the local Sherwood number helps engineers improve efficiency and effectiveness in various applications.






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, Local Sherwood Number for Flat Plate in Laminar Flow formula is defined as a dimensionless quantity used to characterize the convective mass transfer between a flat plate and a fluid flowing over it in a laminar regime, providing a measure of the mass transfer rate. 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*(1.10961^0.5)*(12^0.333).

FAQ

What is Local Sherwood Number for Flat Plate in Laminar Flow?
Local Sherwood Number for Flat Plate in Laminar Flow formula is defined as a dimensionless quantity used to characterize the convective mass transfer between a flat plate and a fluid flowing over it in a laminar regime, providing a measure of the mass transfer rate 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 a dimensionless quantity used to predict the nature of fluid flow, specifically in laminar flow, to determine the flow characteristics & 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 Local Sherwood Number for Flat Plate in Laminar Flow?
Local Sherwood Number for Flat Plate in Laminar Flow formula is defined as a dimensionless quantity used to characterize the convective mass transfer between a flat plate and a fluid flowing over it in a laminar regime, providing a measure of the mass transfer rate 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.
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