Local Sherwood Number for Flat Plate in Laminar Flow Calculator

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Convective Mass Transfer

Basics of HMT

Conduction

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Convective Mass Transfer Coefficient

Free Stream Velocity

✖Local Reynolds Number is the ratio of inertial forces to viscous forces.ⓘ Local Reynolds Number [Re_l]			+10% -10%
✖Schmidt number (Sc) is a dimensionless number defined as the ratio of momentum diffusivity (kinematic viscosity) and mass diffusivity.ⓘ Schmidt Number [Sc]			+10% -10%

✖Local Sherwood Number is the ratio of the convective mass transfer to the rate of diffusive mass transport.ⓘ Local Sherwood Number for Flat Plate in Laminar Flow [Sh_x]

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Formula

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Local Sherwood Number for Flat Plate in Laminar Flow

Formula

`"Sh"_{"x"} = 0.332*("Re"_{"l"}^0.5)*("Sc"^0.333)`

Example

`"0.563231"=0.332*(("0.55")^0.5)*(("12")^0.333)`

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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)
Sh_x = 0.332*(Re_l^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

Sh_x = 0.332*(Re_l^0.5)*(Sc^0.333) --> 0.332*(0.55^0.5)*(12^0.333)

Evaluating ... ...

Sh_x = 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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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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Partial pressure of component A in mixture 1

Go Partial Pressure of Component A in Mixture 1 = Partial Pressure of Component B in Mixture 2-Partial Pressure of Component B in Mixture 1+Partial Pressure of Component A in Mixture 2

Heat Transfer Coefficient for Simultaneous Heat and Mass Transfer

Go Heat Transfer Coefficient = Convective Mass Transfer Coefficient*Density of Liquid*Specific Heat*(Lewis Number^0.67)

Density of material given convective heat and mass transfer coefficient

Go Density = (Heat Transfer Coefficient)/(Convective Mass Transfer Coefficient*Specific Heat*(Lewis Number^0.67))

Specific heat given convective heat and mass transfer

Go Specific Heat = Heat Transfer Coefficient/(Convective Mass Transfer Coefficient*Density*(Lewis Number^0.67))

Drag Coefficient of Flat Plate Laminar Flow using Schmidt Number

Go Drag Coefficient = (2*Convective Mass Transfer Coefficient*(Schmidt Number^0.67))/Free Stream Velocity

Friction factor of flat plate laminar flow

Go Friction Factor = (8*Convective Mass Transfer Coefficient*(Schmidt Number^0.67))/Free Stream Velocity

Friction factor in internal flow

Go Friction Factor = (8*Convective Mass Transfer Coefficient*(Schmidt Number^0.67))/Free Stream Velocity

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))

Mass Transfer Stanton Number

Go Mass Transfer Stanton Number = Convective Mass Transfer Coefficient/Free Stream Velocity

Average Sherwood Number of Combined Laminar and Turbulent Flow

Go Average Sherwood Number = ((0.037*(Reynolds Number^0.8))-871)*(Schmidt Number^0.333)

Local Sherwood Number for Flat Plate in Turbulent Flow

Go Local Sherwood Number = 0.0296*(Local Reynolds Number^0.8)*(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)

Average Sherwood Number of Internal Turbulent Flow

Go Average Sherwood Number = 0.023*(Reynolds Number^0.83)*(Schmidt Number^0.44)

Sherwood Number for Flat Plate in Laminar Flow

Go Average Sherwood Number = 0.664*(Reynolds Number^0.5)*(Schmidt Number^0.333)

Average Sherwood Number of Flat Plate Turbulent Flow

Go Average Sherwood Number = 0.037*(Reynolds Number^0.8)

Drag coefficient of flat plate in combined laminar turbulent flow

Go Drag Coefficient = 0.0571/(Reynolds Number^0.2)

Drag coefficient of flat plate laminar flow

Go Drag Coefficient = 0.644/(Reynolds Number^0.5)

Friction factor of flat plate laminar flow given Reynolds number

Go Friction Factor = 2.576/(Reynolds Number^0.5)

Drag coefficient of flat plate laminar flow given friction factor

Go Drag Coefficient = Friction Factor/4

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Convective Mass Transfer Coefficient through Liquid Gas Interface

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Convective Mass Transfer Coefficient of Flat Plate in Combined Laminar Turbulent Flow

Go Convective Mass Transfer Coefficient = (0.0286*Free Stream Velocity)/((Reynolds Number^0.2)*(Schmidt Number^0.67))

Convective Mass Transfer Coefficient of Flat Plate Laminar Flow using Reynolds Number

Go Convective Mass Transfer Coefficient = (Free Stream Velocity*0.322)/((Reynolds Number^0.5)*(Schmidt Number^0.67))

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))

Convective Mass Transfer Coefficient of Flat Plate Laminar Flow using Friction Factor

Go Convective Mass Transfer Coefficient = (Friction Factor*Free Stream Velocity)/(8*(Schmidt Number^0.67))

Drag Coefficient of Flat Plate Laminar Flow using Schmidt Number

Go Drag Coefficient = (2*Convective Mass Transfer Coefficient*(Schmidt Number^0.67))/Free Stream Velocity

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))

Mass Transfer Stanton Number

Go Mass Transfer Stanton Number = Convective Mass Transfer Coefficient/Free Stream Velocity

Average Sherwood Number of Combined Laminar and Turbulent Flow

Go Average Sherwood Number = ((0.037*(Reynolds Number^0.8))-871)*(Schmidt Number^0.333)

Local Sherwood Number for Flat Plate in Turbulent Flow

Go Local Sherwood Number = 0.0296*(Local Reynolds Number^0.8)*(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)

Average Sherwood Number of Internal Turbulent Flow

Go Average Sherwood Number = 0.023*(Reynolds Number^0.83)*(Schmidt Number^0.44)

Sherwood Number for Flat Plate in Laminar Flow

Go Average Sherwood Number = 0.664*(Reynolds Number^0.5)*(Schmidt Number^0.333)

Average Sherwood Number of Flat Plate Turbulent Flow

Go Average Sherwood Number = 0.037*(Reynolds Number^0.8)

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Go Overall Liquid Phase Mass Transfer Coefficient = 1/((1/(Gas Phase Mass Transfer Coefficient*Henry's Constant))+(1/Liquid Phase Mass Transfer Coefficient))

Convective Mass Transfer Coefficient for Simultaneous Heat and Mass Transfer

Go Convective Mass Transfer Coefficient = Heat Transfer Coefficient/(Specific Heat*Density of Liquid*(Lewis Number^0.67))

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Go Overall Gas Phase Mass Transfer Coefficient = 1/((1/Gas Phase Mass Transfer Coefficient)+(Henry's Constant/Liquid Phase Mass Transfer Coefficient))

Heat Transfer Coefficient for Simultaneous Heat and Mass Transfer

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Convective Mass Transfer Coefficient of Flat Plate in Combined Laminar Turbulent Flow

Go Convective Mass Transfer Coefficient = (0.0286*Free Stream Velocity)/((Reynolds Number^0.2)*(Schmidt Number^0.67))

Convective Mass Transfer Coefficient of Flat Plate Laminar Flow using Reynolds Number

Go Convective Mass Transfer Coefficient = (Free Stream Velocity*0.322)/((Reynolds Number^0.5)*(Schmidt Number^0.67))

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Go Fractional Resistance Offered by Liquid Phase = (1/Liquid Phase Mass Transfer Coefficient)/(1/Overall Liquid Phase Mass Transfer Coefficient)

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))

Convective Mass Transfer Coefficient of Flat Plate Laminar Flow using Friction Factor

Go Convective Mass Transfer Coefficient = (Friction Factor*Free Stream Velocity)/(8*(Schmidt Number^0.67))

Liquid Phase Mass Transfer Coefficient using Fractional Resistance by Liquid Phase

Go Liquid Phase Mass Transfer Coefficient = Overall Liquid Phase Mass Transfer Coefficient/Fractional Resistance Offered by Liquid Phase

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Gas Phase Mass Transfer Coefficient using Fractional Resistance by Gas Phase

Go Gas Phase Mass Transfer Coefficient = Overall Gas Phase Mass Transfer Coefficient/Fractional Resistance Offered by Gas Phase

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))

Mass Transfer Stanton Number

Go Mass Transfer Stanton Number = Convective Mass Transfer Coefficient/Free Stream Velocity

Average Sherwood Number of Combined Laminar and Turbulent Flow

Go Average Sherwood Number = ((0.037*(Reynolds Number^0.8))-871)*(Schmidt Number^0.333)

Local Sherwood Number for Flat Plate in Turbulent Flow

Go Local Sherwood Number = 0.0296*(Local Reynolds Number^0.8)*(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)

Average Sherwood Number of Internal Turbulent Flow

Go Average Sherwood Number = 0.023*(Reynolds Number^0.83)*(Schmidt Number^0.44)

Sherwood Number for Flat Plate in Laminar Flow

Go Average Sherwood Number = 0.664*(Reynolds Number^0.5)*(Schmidt Number^0.333)

Average Sherwood Number of Flat Plate Turbulent Flow

Go Average Sherwood Number = 0.037*(Reynolds Number^0.8)

Local Sherwood Number for Flat Plate in Laminar Flow Formula

Local Sherwood Number = 0.332*(Local Reynolds Number^0.5)*(Schmidt Number^0.333)
Sh_x = 0.332*(Re_l^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 Sh_x 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 (Re_l) & 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 -> 1.184975 = 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 Sh_x = 0.332*(Re_l^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 (Re_l) & 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 3 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)
Local Sherwood Number = 0.0296*(Local Reynolds Number^0.8)*(Schmidt Number^0.333)

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