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Diffusivity by Surface Renewal Theory Formula

GoDiffusivity by Film Theory Formula

GoDiffusivity by Average Contact Time in Penetration 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 = \frac{{k L}^{2}}{s}

D_AB - Diffusion Coefficient (DAB)?k_L - Convective Mass Transfer Coefficient?s - Surface Renewal Rate?

Diffusivity by Surface Renewal Theory Example

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

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

Here is how the Diffusivity by Surface Renewal Theory equation looks like.

0.0075 = \frac{{0.0095}^{2}}{0.012}

0.0075m²/s = \frac{{0.0095m/s}^{2}}{0.0121/s}

0.0075 = \frac{{0.0095}^{2}}{0.012}

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Diffusivity by Surface Renewal Theory Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

D AB = \frac{{0.0095m/s}^{2}}{0.0121/s}

Next Step Prepare to Evaluate

∴

D AB = \frac{{0.0095}^{2}}{0.012}

Next Step Evaluate

∴

D AB = 0.00752083333333333m²/s

LAST Step Rounding Answer

∴

D AB = 0.0075m²/s

Diffusivity by Surface Renewal 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

Surface Renewal Rate

Surface Renewal Rate is the fractional rate or frequency of surface renewal.

Symbol: s

Measurement: Time InverseUnit: 1/s

Note: Value should be greater than 0.

Formulas to find Surface Renewal Rate

Other Formulas to find Diffusion Coefficient (DAB)

Go Diffusivity by Film Theory

D AB = k L \cdot δ

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 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 Surface Renewal Theory?

Diffusivity by Surface Renewal Theory evaluator uses Diffusion Coefficient (DAB) = (Convective Mass Transfer Coefficient^2)/Surface Renewal Rate to evaluate the Diffusion Coefficient (DAB), The Diffusivity by Surface Renewal Theory formula is used to calculate the diffusivity in mass transfer based on surface renewal theory using surface renewal rate and mass transfer coefficient. Diffusion Coefficient (DAB) is denoted by D_AB symbol.

How to evaluate Diffusivity by Surface Renewal Theory using this online evaluator? To use this online evaluator for Diffusivity by Surface Renewal Theory, enter Convective Mass Transfer Coefficient (k_L) & Surface Renewal Rate (s) and hit the calculate button.

FAQs on Diffusivity by Surface Renewal Theory

What is the formula to find Diffusivity by Surface Renewal Theory?

The formula of Diffusivity by Surface Renewal Theory is expressed as Diffusion Coefficient (DAB) = (Convective Mass Transfer Coefficient^2)/Surface Renewal Rate. Here is an example- 0.007521 = (0.0095^2)/0.012.

How to calculate Diffusivity by Surface Renewal Theory?

With Convective Mass Transfer Coefficient (k_L) & Surface Renewal Rate (s) we can find Diffusivity by Surface Renewal Theory using the formula - Diffusion Coefficient (DAB) = (Convective Mass Transfer Coefficient^2)/Surface Renewal Rate.

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

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

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

Can the Diffusivity by Surface Renewal Theory be negative?

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

Which unit is used to measure Diffusivity by Surface Renewal Theory?

Diffusivity by Surface Renewal 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 Surface Renewal Theory can be measured.

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