Sherwood Number for Flat Plate in Laminar Flow Calculator

✖Reynolds Number is a dimensionless value that predicts the nature of fluid flow, either laminar or turbulent, in a pipe or around an object.ⓘ Reynolds Number [Re]			+10% -10%
✖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.ⓘ Schmidt Number [Sc]			+10% -10%

✖Average Sherwood Number is a dimensionless quantity used to characterize the convective mass transport in laminar flow, indicating the ratio of convective to diffusive transport.ⓘ Sherwood Number for Flat Plate in Laminar Flow [N_sh]

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Sherwood Number for Flat Plate in Laminar Flow Solution

STEP 0: Pre-Calculation Summary

Formula Used

Average Sherwood Number = 0.664*(Reynolds Number^0.5)*(Schmidt Number^0.333)
N_sh = 0.664*(Re^0.5)*(Sc^0.333)
This formula uses 3 Variables

Variables Used

Average Sherwood Number - Average Sherwood Number is a dimensionless quantity used to characterize the convective mass transport in laminar flow, indicating the ratio of convective to diffusive transport.
Reynolds Number - Reynolds Number is a dimensionless value that predicts the nature of fluid flow, either laminar or turbulent, in a pipe or around an object.
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

Reynolds Number: 500000 --> No Conversion Required
Schmidt Number: 12 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N_sh = 0.664*(Re^0.5)*(Sc^0.333) --> 0.664*(500000^0.5)*(12^0.333)

Evaluating ... ...

N_sh = 1074.03995193965

STEP 3: Convert Result to Output's Unit

1074.03995193965 --> No Conversion Required

FINAL ANSWER

1074.03995193965 ≈ 1074.04 <-- Average Sherwood Number

(Calculation completed in 00.004 seconds)

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Created by Nishan Poojary

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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Convective Mass Transfer Coefficient of Flat Plate Laminar Flow using Drag Coefficient

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)

Sherwood Number for Flat Plate in Laminar Flow Formula

LaTeX Go

Average Sherwood Number = 0.664*(Reynolds Number^0.5)*(Schmidt Number^0.333)
N_sh = 0.664*(Re^0.5)*(Sc^0.333)

What is Sherwood Number?

The Sherwood number is a dimensionless quantity used in mass transfer operations to characterize the ratio of convective mass transfer to diffusive mass transfer. It is defined as the ratio of the convective mass transfer coefficient to the diffusion coefficient, providing insight into the efficiency of mass transfer processes. A higher Sherwood number indicates a greater contribution of convection relative to diffusion, which is often desirable in applications such as chemical reactors, gas absorption, and drying processes. The Sherwood number is especially useful for designing and analyzing systems where mass transfer plays a crucial role, helping engineers optimize operational conditions for enhanced efficiency and effectiveness.

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

Sherwood Number for Flat Plate in Laminar Flow calculator uses Average Sherwood Number = 0.664*(Reynolds Number^0.5)*(Schmidt Number^0.333) to calculate the Average Sherwood Number, 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 ratio of convective to diffusive mass transport. Average Sherwood Number is denoted by N_sh symbol.

How to calculate Sherwood Number for Flat Plate in Laminar Flow using this online calculator? To use this online calculator for Sherwood Number for Flat Plate in Laminar Flow, enter Reynolds Number (Re) & Schmidt Number (Sc) and hit the calculate button. Here is how the Sherwood Number for Flat Plate in Laminar Flow calculation can be explained with given input values -> 1074.04 = 0.664*(500000^0.5)*(12^0.333).

FAQ

What is Sherwood Number for Flat Plate in Laminar Flow?

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 ratio of convective to diffusive mass transport and is represented as N_sh = 0.664*(Re^0.5)*(Sc^0.333) or Average Sherwood Number = 0.664*(Reynolds Number^0.5)*(Schmidt Number^0.333). Reynolds Number is a dimensionless value that predicts the nature of fluid flow, either laminar or turbulent, in a pipe or around an object & 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 Sherwood Number for Flat Plate in Laminar Flow?

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 ratio of convective to diffusive mass transport is calculated using Average Sherwood Number = 0.664*(Reynolds Number^0.5)*(Schmidt Number^0.333). To calculate Sherwood Number for Flat Plate in Laminar Flow, you need Reynolds Number (Re) & Schmidt Number (Sc). With our tool, you need to enter the respective value for 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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