Average Sherwood Number of Combined Laminar and Turbulent Flow Solution

STEP 0: Pre-Calculation Summary
Formula Used
Average Sherwood Number = ((0.037*(Reynolds Number^0.8))-871)*(Schmidt Number^0.333)
Sh = ((0.037*(Re^0.8))-871)*(Sc^0.333)
This formula uses 3 Variables
Variables Used
Average Sherwood Number - Average Sherwood Number is the ratio of the convective mass transfer to the rate of diffusive mass transport.
Reynolds Number - The Reynolds number is the ratio of inertial forces to viscous forces within a fluid which is subjected to relative internal movement due to different fluid velocities.
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
Reynolds Number: 500000 --> No Conversion Required
Schmidt Number: 12 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Sh = ((0.037*(Re^0.8))-871)*(Sc^0.333) --> ((0.037*(500000^0.8))-871)*(12^0.333)
Evaluating ... ...
Sh = 1074.77991187399
STEP 3: Convert Result to Output's Unit
1074.77991187399 --> No Conversion Required
FINAL ANSWER
1074.77991187399 1074.78 <-- Average Sherwood Number
(Calculation completed in 00.004 seconds)

Credits

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

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

17 Mass Transfer Coefficient Calculators

Convective Mass Transfer Coefficient through Liquid Gas Interface
Go Convective Mass Transfer Coefficient = (Mass Transfer Coefficient of Medium 1*Mass Transfer Coefficient of Medium 2*Henry's Constant)/((Mass Transfer Coefficient of Medium 1*Henry's Constant)+(Mass Transfer Coefficient of Medium 2))
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)
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))
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)
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)

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

Convective Mass Transfer Coefficient through Liquid Gas Interface
Go Convective Mass Transfer Coefficient = (Mass Transfer Coefficient of Medium 1*Mass Transfer Coefficient of Medium 2*Henry's Constant)/((Mass Transfer Coefficient of Medium 1*Henry's Constant)+(Mass Transfer Coefficient of Medium 2))
Logarithmic Mean Partial Pressure Difference
Go Logarithmic Mean Partial Pressure Difference = (Partial Pressure of Component B in Mixture 2-Partial Pressure of Component B in Mixture 1)/(ln(Partial Pressure of Component B in Mixture 2/Partial Pressure of Component B in Mixture 1))
Logarithmic Mean of Concentration Difference
Go Logarithmic Mean of Concentration Difference = (Concentration of Component B in Mixture 2-Concentration of Component B in Mixture 1)/ln(Concentration of Component B in Mixture 2/Concentration of Component B in Mixture 1)
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)
Liquid Phase Mass Transfer Coefficient by Two Film Theory
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))
Gas Phase Mass Transfer Coefficient by Two Film Theory
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
Go Heat Transfer Coefficient = Convective Mass Transfer Coefficient*Density of Liquid*Specific Heat*(Lewis Number^0.67)
Average Mass Transfer Coefficient by Penetration Theory
Go Average Convective Mass Transfer Coefficient = 2*sqrt(Diffusion Coefficient (DAB)/(pi*Average Contact Time))
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))
Fractional Resistance Offered by Liquid Phase
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
Fractional Resistance Offered by Gas Phase
Go Fractional Resistance Offered by Gas Phase = (1/Gas Phase Mass Transfer Coefficient)/(1/Overall Gas Phase Mass Transfer Coefficient)
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)

Average Sherwood Number of Combined Laminar and Turbulent Flow Formula

Average Sherwood Number = ((0.037*(Reynolds Number^0.8))-871)*(Schmidt Number^0.333)
Sh = ((0.037*(Re^0.8))-871)*(Sc^0.333)

What is sherwood number?

The Sherwood number (Sh) (also called the mass transfer Nusselt number) is a dimensionless number used in mass-transfer operation. The mass transport problem is solved both analytically and numerically under the assumption of instantaneous adsorption upon the liquid-solid interface. The velocity components within the liquid phase are obtained either by using the analytical formulations of the sphere-in-cell model or by solving numerically the creeping flow problem in a stochastically constructed packing of spheres.

How to Calculate Average Sherwood Number of Combined Laminar and Turbulent Flow?

Average Sherwood Number of Combined Laminar and Turbulent Flow calculator uses Average Sherwood Number = ((0.037*(Reynolds Number^0.8))-871)*(Schmidt Number^0.333) to calculate the Average Sherwood Number, The Average Sherwood Number of Combined Laminar and Turbulent Flow formula is defined as the ratio of the convective mass transfer to the rate of diffusive mass transport during the combined laminar-turbulent flow. Average Sherwood Number is denoted by Sh symbol.

How to calculate Average Sherwood Number of Combined Laminar and Turbulent Flow using this online calculator? To use this online calculator for Average Sherwood Number of Combined Laminar and Turbulent Flow, enter Reynolds Number (Re) & Schmidt Number (Sc) and hit the calculate button. Here is how the Average Sherwood Number of Combined Laminar and Turbulent Flow calculation can be explained with given input values -> 2261.215 = ((0.037*(500000^0.8))-871)*(12^0.333).

FAQ

What is Average Sherwood Number of Combined Laminar and Turbulent Flow?
The Average Sherwood Number of Combined Laminar and Turbulent Flow formula is defined as the ratio of the convective mass transfer to the rate of diffusive mass transport during the combined laminar-turbulent flow and is represented as Sh = ((0.037*(Re^0.8))-871)*(Sc^0.333) or Average Sherwood Number = ((0.037*(Reynolds Number^0.8))-871)*(Schmidt Number^0.333). The Reynolds number is the ratio of inertial forces to viscous forces within a fluid which is subjected to relative internal movement due to different fluid velocities & Schmidt number (Sc) is a dimensionless number defined as the ratio of momentum diffusivity (kinematic viscosity) and mass diffusivity.
How to calculate Average Sherwood Number of Combined Laminar and Turbulent Flow?
The Average Sherwood Number of Combined Laminar and Turbulent Flow formula is defined as the ratio of the convective mass transfer to the rate of diffusive mass transport during the combined laminar-turbulent flow is calculated using Average Sherwood Number = ((0.037*(Reynolds Number^0.8))-871)*(Schmidt Number^0.333). To calculate Average Sherwood Number of Combined Laminar and Turbulent 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.
How many ways are there to calculate Average Sherwood Number?
In this formula, Average Sherwood Number uses Reynolds Number & Schmidt Number. We can use 9 other way(s) to calculate the same, which is/are as follows -
  • Average Sherwood Number = 0.664*(Reynolds Number^0.5)*(Schmidt Number^0.333)
  • Average Sherwood Number = 0.037*(Reynolds Number^0.8)
  • Average Sherwood Number = 0.023*(Reynolds Number^0.83)*(Schmidt Number^0.44)
  • Average Sherwood Number = 0.037*(Reynolds Number^0.8)
  • Average Sherwood Number = 0.023*(Reynolds Number^0.83)*(Schmidt Number^0.44)
  • Average Sherwood Number = 0.664*(Reynolds Number^0.5)*(Schmidt Number^0.333)
  • Average Sherwood Number = 0.037*(Reynolds Number^0.8)
  • Average Sherwood Number = 0.023*(Reynolds Number^0.83)*(Schmidt Number^0.44)
  • Average Sherwood Number = 0.664*(Reynolds Number^0.5)*(Schmidt Number^0.333)
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