Diffusivity by Average Contact Time in Penetration Theory Calculator

✖Average Contact Time is the variable used to define the time for contacting between liquid and vapor phases.ⓘ Average Contact Time [t_c]			+10% -10%
✖The Average 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.ⓘ Average Convective Mass Transfer Coefficient [k_{L (Avg)}]			+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 Average Contact Time in Penetration Theory [D_AB]

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Diffusivity by Average Contact Time in Penetration Theory Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diffusion Coefficient (DAB) = (Average Contact Time*(Average Convective Mass Transfer Coefficient^2)*pi)/4
D_AB = (t_c*(k_{L (Avg)}^2)*pi)/4
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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.
Average Contact Time - (Measured in Second) - Average Contact Time is the variable used to define the time for contacting between liquid and vapor phases.
Average Convective Mass Transfer Coefficient - (Measured in Meter per Second) - The Average 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.

STEP 1: Convert Input(s) to Base Unit

Average Contact Time: 11 Second --> 11 Second No Conversion Required
Average Convective Mass Transfer Coefficient: 0.028465 Meter per Second --> 0.028465 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D_AB = (t_c*(k_{L (Avg)}^2)*pi)/4 --> (11*(0.028465^2)*pi)/4

Evaluating ... ...

D_AB = 0.00700011126095985

STEP 3: Convert Result to Output's Unit

0.00700011126095985 Square Meter Per Second --> No Conversion Required

FINAL ANSWER

0.00700011126095985 ≈ 0.007 Square Meter Per Second <-- Diffusion Coefficient (DAB)

(Calculation completed in 00.004 seconds)

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< Mass Transfer Theories Calculators

Liquid Phase Mass Transfer Coefficient by Two Film Theory

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

Average Mass Transfer Coefficient by Penetration Theory

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

Mass Transfer Coefficient by Surface Renewal Theory

LaTeX Go Convective Mass Transfer Coefficient = sqrt(Diffusion Coefficient (DAB)*Surface Renewal Rate)

Mass Transfer Coefficient by Film Theory

LaTeX Go Convective Mass Transfer Coefficient = Diffusion Coefficient (DAB)/Film Thickness

Diffusivity by Average Contact Time in Penetration Theory Formula

LaTeX Go

Diffusion Coefficient (DAB) = (Average Contact Time*(Average Convective Mass Transfer Coefficient^2)*pi)/4
D_AB = (t_c*(k_{L (Avg)}^2)*pi)/4

What is Penetration Theory?

The “penetration theory” or “Higbie’s model” assumes that each liquid element at the gas-liquid interface is exposed to the gas for a short time. The basic assumptions of the theory are: (1) mass transfer from the gas into a liquid element occurs under unsteady-state conditions once they are in contact; (2) each of the liquid elements stays in contact with the gas for same time period; and (3) equilibrium exists at the gas-liquid interface. This theory was considered an improvement from the two-film theory since mass transfer occurs under unsteady-state conditions in many industrial processes. The penetration theory expresses the liquid-side mass transfer coefficient in terms of the contact time (tc) and the molecular diffusivity of the gas in the liquid.

How to Calculate Diffusivity by Average Contact Time in Penetration Theory?

Diffusivity by Average Contact Time in Penetration Theory calculator uses Diffusion Coefficient (DAB) = (Average Contact Time*(Average Convective Mass Transfer Coefficient^2)*pi)/4 to calculate the Diffusion Coefficient (DAB), The Diffusivity by Average Contact Time in Penetration Theory formula is used to calculate the diffusivity for the liquid phase in contact with the other phase based on penetration theory when average contact time and mass transfer coefficient are known. Diffusion Coefficient (DAB) is denoted by D_AB symbol.

How to calculate Diffusivity by Average Contact Time in Penetration Theory using this online calculator? To use this online calculator for Diffusivity by Average Contact Time in Penetration Theory, enter Average Contact Time (t_c) & Average Convective Mass Transfer Coefficient (k_{L (Avg)}) and hit the calculate button. Here is how the Diffusivity by Average Contact Time in Penetration Theory calculation can be explained with given input values -> 0.007 = (11*(0.028465^2)*pi)/4.

FAQ

What is Diffusivity by Average Contact Time in Penetration Theory?

The Diffusivity by Average Contact Time in Penetration Theory formula is used to calculate the diffusivity for the liquid phase in contact with the other phase based on penetration theory when average contact time and mass transfer coefficient are known and is represented as D_AB = (t_c*(k_{L (Avg)}^2)*pi)/4 or Diffusion Coefficient (DAB) = (Average Contact Time*(Average Convective Mass Transfer Coefficient^2)*pi)/4. Average Contact Time is the variable used to define the time for contacting between liquid and vapor phases & The Average 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.

How to calculate Diffusivity by Average Contact Time in Penetration Theory?

The Diffusivity by Average Contact Time in Penetration Theory formula is used to calculate the diffusivity for the liquid phase in contact with the other phase based on penetration theory when average contact time and mass transfer coefficient are known is calculated using Diffusion Coefficient (DAB) = (Average Contact Time*(Average Convective Mass Transfer Coefficient^2)*pi)/4. To calculate Diffusivity by Average Contact Time in Penetration Theory, you need Average Contact Time (t_c) & Average Convective Mass Transfer Coefficient (k_{L (Avg)}). With our tool, you need to enter the respective value for Average Contact Time & Average Convective Mass Transfer Coefficient 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 Average Contact Time & Average Convective Mass Transfer Coefficient. We can use 3 other way(s) to calculate the same, which is/are as follows -

Diffusion Coefficient (DAB) = Convective Mass Transfer Coefficient*Film Thickness
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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