Diffusivity by Film Theory Calculator

✖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.ⓘ Convective Mass Transfer Coefficient [k_L]			+10% -10%
✖The Film Thickness is the thickness between the wall or the phase boundary or the interface to the other end of the film.ⓘ Film Thickness [δ]			+10% -10%

✖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.ⓘ Diffusivity by Film Theory [D_AB]

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Formula

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Diffusivity by Film Theory

Formula

`"D"_{"AB"} = "k"_{"L"}*"δ"`

Example

`"4.8E^-5m²/s"="9.5e-3m/s"*"0.005m"`

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Diffusivity by Film Theory Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diffusion Coefficient (DAB) = Convective Mass Transfer Coefficient*Film Thickness
D_AB = k_L*δ
This formula uses 3 Variables

Variables Used

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.
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.
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

Convective Mass Transfer Coefficient: 0.0095 Meter per Second --> 0.0095 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

D_AB = k_L*δ --> 0.0095*0.005

Evaluating ... ...

D_AB = 4.75E-05

STEP 3: Convert Result to Output's Unit

4.75E-05 Square Meter Per Second --> No Conversion Required

FINAL ANSWER

4.75E-05 ≈ 4.8E-5 Square Meter Per Second <-- Diffusion Coefficient (DAB)

(Calculation completed in 00.004 seconds)

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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))

Diffusivity by Instanataneous Contact Time in Penetration Theory

Go Diffusion Coefficient (DAB) = (Instantaneous Contact Time*(Instantaneous Convective Mass Transfer Coefficient^2)*pi)

Instantaneous Contact Time by Penetration Theory

Go Instantaneous Contact Time = (Diffusion Coefficient (DAB))/((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)

Diffusivity by Average Contact Time in Penetration Theory

Go Diffusion Coefficient (DAB) = (Average Contact Time*(Average Convective Mass Transfer Coefficient^2)*pi)/4

Average Contact Time by Penetration Theory

Go Average Contact Time = (4*Diffusion Coefficient (DAB))/((Average Convective Mass Transfer Coefficient^2)*pi)

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)

Diffusivity by Surface Renewal Theory

Go Diffusion Coefficient (DAB) = (Convective Mass Transfer Coefficient^2)/ Surface Renewal Rate

Surface Renewal Rate by Surface Renewal Theory

Go Surface Renewal Rate = (Convective Mass Transfer Coefficient^2)/Diffusion Coefficient (DAB)

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

Diffusivity by Film Theory Formula

Diffusion Coefficient (DAB) = Convective Mass Transfer Coefficient*Film Thickness
D_AB = k_L*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 Diffusivity by Film Theory?

Diffusivity by Film Theory calculator uses Diffusion Coefficient (DAB) = Convective Mass Transfer Coefficient*Film Thickness to calculate the Diffusion Coefficient (DAB), The Diffusivity by Film Theory formula is used to calculate the diffusivity for the liquid phase in contact with the other phase based on film theory when film thickness and mass transfer coefficient are known. Diffusion Coefficient (DAB) is denoted by D_AB symbol.

How to calculate Diffusivity by Film Theory using this online calculator? To use this online calculator for Diffusivity by Film Theory, enter Convective Mass Transfer Coefficient (k_L) & Film Thickness (δ) and hit the calculate button. Here is how the Diffusivity by Film Theory calculation can be explained with given input values -> 4.8E-5 = 0.0095*0.005.

FAQ

What is Diffusivity by Film Theory?

The Diffusivity by Film Theory formula is used to calculate the diffusivity for the liquid phase in contact with the other phase based on film theory when film thickness and mass transfer coefficient are known and is represented as D_AB = k_L*δ or Diffusion Coefficient (DAB) = Convective Mass Transfer Coefficient*Film Thickness. 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 & 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 Diffusivity by Film Theory?

The Diffusivity by Film Theory formula is used to calculate the diffusivity for the liquid phase in contact with the other phase based on film theory when film thickness and mass transfer coefficient are known is calculated using Diffusion Coefficient (DAB) = Convective Mass Transfer Coefficient*Film Thickness. To calculate Diffusivity by Film Theory, you need Convective Mass Transfer Coefficient (k_L) & Film Thickness (δ). With our tool, you need to enter the respective value for Convective Mass Transfer Coefficient & 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 Diffusion Coefficient (DAB)?

In this formula, Diffusion Coefficient (DAB) uses Convective Mass Transfer Coefficient & Film Thickness. We can use 3 other way(s) to calculate the same, which is/are as follows -

Diffusion Coefficient (DAB) = (Average Contact Time*(Average Convective Mass Transfer Coefficient^2)*pi)/4
Diffusion Coefficient (DAB) = (Convective Mass Transfer Coefficient^2)/ Surface Renewal Rate
Diffusion Coefficient (DAB) = (Instantaneous Contact Time*(Instantaneous Convective Mass Transfer Coefficient^2)*pi)

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