Mass Transfer Coefficient by Film Theory Solution

STEP 0: Pre-Calculation Summary
Formula Used
Convective Mass Transfer Coefficient = Diffusion Coefficient (DAB)/Film Thickness
kL = DAB/δ
This formula uses 3 Variables
Variables Used
Convective Mass Transfer Coefficient - (Measured in Meter per Second) - Convective Mass Transfer Coefficient is a function of geometry of the system and the velocity and properties of the fluid similar to the heat transfer coefficient.
Diffusion Coefficient (DAB) - (Measured in Square Meter Per Second) - The Diffusion Coefficient (DAB) is the amount of a particular substance that diffuses across a unit area in 1 second under the influence of a gradient of one unit.
Film Thickness - (Measured in Meter) - The Film Thickness is the thickness between the wall or the phase boundary or the interface to the other end of the film.
STEP 1: Convert Input(s) to Base Unit
Diffusion Coefficient (DAB): 0.007 Square Meter Per Second --> 0.007 Square Meter Per Second No Conversion Required
Film Thickness: 0.005 Meter --> 0.005 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
kL = DAB/δ --> 0.007/0.005
Evaluating ... ...
kL = 1.4
STEP 3: Convert Result to Output's Unit
1.4 Meter per Second --> No Conversion Required
FINAL ANSWER
1.4 Meter per Second <-- Convective Mass Transfer Coefficient
(Calculation completed in 00.020 seconds)

Credits

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DJ Sanghvi College of Engineering (DJSCE), Mumbai
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20 Mass Transfer Theories Calculators

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))
Instantaneous Mass Transfer Coefficient by Penetration Theory
Go Instantaneous Convective Mass Transfer Coefficient = sqrt(Diffusion Coefficient (DAB)/(pi*Instantaneous Contact Time))
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))
Average Mass Transfer Coefficient by Penetration Theory
Go Average Convective Mass Transfer Coefficient = 2*sqrt(Diffusion Coefficient (DAB)/(pi*Average Contact Time))
Instantaneous Contact Time by Penetration Theory
Go Instantaneous Contact Time = (Diffusion Coefficient (DAB))/((Instantaneous Convective Mass Transfer Coefficient^2)*pi)
Diffusivity by Instanataneous Contact Time in Penetration Theory
Go Diffusion Coefficient (DAB) = (Instantaneous Contact Time*(Instantaneous Convective Mass Transfer Coefficient^2)*pi)
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)
Average Contact Time by Penetration Theory
Go Average Contact Time = (4*Diffusion Coefficient (DAB))/((Average Convective Mass Transfer Coefficient^2)*pi)
Diffusivity by Average Contact Time in Penetration Theory
Go Diffusion Coefficient (DAB) = (Average Contact Time*(Average Convective Mass Transfer Coefficient^2)*pi)/4
Overall Liquid Phase Mass Transfer Coefficient using Fractional Resistance by Liquid Phase
Go Overall Liquid Phase Mass Transfer Coefficient = Liquid Phase Mass Transfer Coefficient*Fractional Resistance Offered by Liquid Phase
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)
Overall Gas Phase Mass Transfer Coefficient using Fractional Resistance by Gas Phase
Go Overall Gas Phase Mass Transfer Coefficient = Gas Phase Mass Transfer Coefficient*Fractional Resistance Offered by Gas Phase
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 Coefficient by Surface Renewal Theory
Go Convective Mass Transfer Coefficient = sqrt(Diffusion Coefficient (DAB)*Surface Renewal Rate)
Surface Renewal Rate by Surface Renewal Theory
Go Surface Renewal Rate = (Convective Mass Transfer Coefficient^2)/Diffusion Coefficient (DAB)
Diffusivity by Surface Renewal Theory
Go Diffusion Coefficient (DAB) = (Convective Mass Transfer Coefficient^2)/Surface Renewal Rate
Mass Transfer Coefficient by Film Theory
Go Convective Mass Transfer Coefficient = Diffusion Coefficient (DAB)/Film Thickness
Film Thickness by Film Theory
Go Film Thickness = Diffusion Coefficient (DAB)/Convective Mass Transfer Coefficient
Diffusivity by Film Theory
Go Diffusion Coefficient (DAB) = Convective Mass Transfer Coefficient*Film Thickness

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)

Mass Transfer Coefficient by Film Theory Formula

Convective Mass Transfer Coefficient = Diffusion Coefficient (DAB)/Film Thickness
kL = DAB/δ

What is Film Theory in Mass Transfer ?

Film theory in Mass transfer states that the resistance in mass transfer between fluid phases in turbulent flow is present in a thin layer adjacent to the interface called film. As per Film Theory (Whitman 1932), the mass transfer coefficient is equal to the ratio of diffusivity to film thickness.

How to Calculate Mass Transfer Coefficient by Film Theory?

Mass Transfer Coefficient by Film Theory calculator uses Convective Mass Transfer Coefficient = Diffusion Coefficient (DAB)/Film Thickness to calculate the Convective Mass Transfer Coefficient, The Mass Transfer Coefficient by Film Theory formula is used to calculate the mass transfer coefficient based on film theory where diffusivity and film thickness are known. Convective Mass Transfer Coefficient is denoted by kL symbol.

How to calculate Mass Transfer Coefficient by Film Theory using this online calculator? To use this online calculator for Mass Transfer Coefficient by Film Theory, enter Diffusion Coefficient (DAB) (DAB) & Film Thickness (δ) and hit the calculate button. Here is how the Mass Transfer Coefficient by Film Theory calculation can be explained with given input values -> 1.4 = 0.007/0.005.

FAQ

What is Mass Transfer Coefficient by Film Theory?
The Mass Transfer Coefficient by Film Theory formula is used to calculate the mass transfer coefficient based on film theory where diffusivity and film thickness are known and is represented as kL = DAB or Convective Mass Transfer Coefficient = Diffusion Coefficient (DAB)/Film Thickness. The Diffusion Coefficient (DAB) is the amount of a particular substance that diffuses across a unit area in 1 second under the influence of a gradient of one unit & The Film Thickness is the thickness between the wall or the phase boundary or the interface to the other end of the film.
How to calculate Mass Transfer Coefficient by Film Theory?
The Mass Transfer Coefficient by Film Theory formula is used to calculate the mass transfer coefficient based on film theory where diffusivity and film thickness are known is calculated using Convective Mass Transfer Coefficient = Diffusion Coefficient (DAB)/Film Thickness. To calculate Mass Transfer Coefficient by Film Theory, you need Diffusion Coefficient (DAB) (DAB) & Film Thickness (δ). With our tool, you need to enter the respective value for Diffusion Coefficient (DAB) & Film Thickness 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 Convective Mass Transfer Coefficient?
In this formula, Convective Mass Transfer Coefficient uses Diffusion Coefficient (DAB) & Film Thickness. We can use 9 other way(s) to calculate the same, which is/are as follows -
  • Convective Mass Transfer Coefficient = sqrt(Diffusion Coefficient (DAB)*Surface Renewal Rate)
  • 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 = Heat Transfer Coefficient/(Specific Heat*Density of Liquid*(Lewis Number^0.67))
  • Convective Mass Transfer Coefficient = (0.0286*Free Stream Velocity)/((Reynolds Number^0.2)*(Schmidt Number^0.67))
  • Convective Mass Transfer Coefficient = (Drag Coefficient*Free Stream Velocity)/(2*(Schmidt Number^0.67))
  • Convective Mass Transfer Coefficient = (Friction Factor*Free Stream Velocity)/(8*(Schmidt Number^0.67))
  • Convective Mass Transfer Coefficient = (Free Stream Velocity*0.322)/((Reynolds Number^0.5)*(Schmidt Number^0.67))
  • 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 = sqrt(Diffusion Coefficient (DAB)*Surface Renewal Rate)
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