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Diffusivity by Film Theory Formula

GoDiffusivity by Average Contact Time in Penetration Theory Formula

GoDiffusivity by Surface Renewal Theory Formula

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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. Check FAQs

D AB = k L \cdot δ

D_AB - Diffusion Coefficient (DAB)?k_L - Convective Mass Transfer Coefficient?δ - Film Thickness?

Diffusivity by Film Theory Example

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Here is how the Diffusivity by Film Theory equation looks like with Values.

Here is how the Diffusivity by Film Theory equation looks like with Units.

Here is how the Diffusivity by Film Theory equation looks like.

4.8E-5 = 0.0095 \cdot 0.005

4.8E-5m²/s = 0.0095m/s \cdot 0.005m

4.8E-5 = 0.0095 \cdot 0.005

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Diffusivity by Film Theory Solution

Follow our step by step solution on how to calculate Diffusivity by Film Theory?

FIRST Step Consider the formula

D AB = k L \cdot δ

Next Step Substitute values of Variables

∴

D AB = 0.0095m/s \cdot 0.005m

Next Step Prepare to Evaluate

∴

D AB = 0.0095 \cdot 0.005

Next Step Evaluate

∴

D AB = 4.75E-05m²/s

LAST Step Rounding Answer

∴

D AB = 4.8E-5m²/s

Diffusivity by Film Theory Formula Elements

Variables

Diffusion Coefficient (DAB)

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.

Symbol: D_AB

Measurement: DiffusivityUnit: m²/s

Note: Value should be greater than 0.

Formulas to find Diffusion Coefficient (DAB)

Convective Mass Transfer Coefficient

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.

Symbol: k_L

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Convective Mass Transfer Coefficient

Film Thickness

The Film Thickness is the thickness between the wall or the phase boundary or the interface to the other end of the film.

Symbol: δ

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Film Thickness

Other Formulas to find Diffusion Coefficient (DAB)

Go Diffusivity by Average Contact Time in Penetration Theory

D AB = \frac{t c \cdot ({k L (Avg)}^{2}) \cdot π}{4}

Go Diffusivity by Surface Renewal Theory

D AB = \frac{{k L}^{2}}{s}

Go Diffusivity by Instanataneous Contact Time in Penetration Theory

D AB = (t \cdot ({k L(Inst)}^{2}) \cdot π)

Other formulas in Mass Transfer Theories category

Go Mass Transfer Coefficient by Film Theory

k L = \frac{D AB}{δ}

Go Average Mass Transfer Coefficient by Penetration Theory

k L (Avg) = 2 \cdot \sqrt{\frac{D AB}{π \cdot t c}}

Go Mass Transfer Coefficient by Surface Renewal Theory

k L = \sqrt{D AB \cdot s}

Go Liquid Phase Mass Transfer Coefficient by Two Film Theory

K x = \frac{1}{(\frac{1}{k y \cdot H}) + (\frac{1}{k x})}

How to Evaluate Diffusivity by Film Theory?

Diffusivity by Film Theory evaluator uses Diffusion Coefficient (DAB) = Convective Mass Transfer Coefficient*Film Thickness to evaluate 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 evaluate Diffusivity by Film Theory using this online evaluator? To use this online evaluator for Diffusivity by Film Theory, enter Convective Mass Transfer Coefficient (k_L) & Film Thickness (δ) and hit the calculate button.

FAQs on Diffusivity by Film Theory

What is the formula to find Diffusivity by Film Theory?

The formula of Diffusivity by Film Theory is expressed as Diffusion Coefficient (DAB) = Convective Mass Transfer Coefficient*Film Thickness. Here is an example- 4.8E-5 = 0.0095*0.005.

How to calculate Diffusivity by Film Theory?

With Convective Mass Transfer Coefficient (k_L) & Film Thickness (δ) we can find Diffusivity by Film Theory using the formula - Diffusion Coefficient (DAB) = Convective Mass Transfer Coefficient*Film Thickness.

What are the other ways to Calculate Diffusion Coefficient (DAB)?

Here are the different ways to Calculate Diffusion Coefficient (DAB)-

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)

Can the Diffusivity by Film Theory be negative?

No, the Diffusivity by Film Theory, measured in Diffusivity cannot be negative.

Which unit is used to measure Diffusivity by Film Theory?

Diffusivity by Film Theory is usually measured using the Square Meter Per Second[m²/s] for Diffusivity. Square Centimeter Per Second[m²/s], Square Millimeter per Second[m²/s] are the few other units in which Diffusivity by Film Theory can be measured.

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