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Average Contact Time by Penetration Theory Formula

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Average Contact Time is the variable used to define the time for contacting between liquid and vapor phases. Check FAQs

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

t_c - Average Contact Time?D_AB - Diffusion Coefficient (DAB)?k_{L (Avg)} - Average Convective Mass Transfer Coefficient?π - Archimedes' constant?

Average Contact Time by Penetration Theory Example

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Here is how the Average Contact Time by Penetration Theory equation looks like with Values.

Here is how the Average Contact Time by Penetration Theory equation looks like with Units.

Here is how the Average Contact Time by Penetration Theory equation looks like.

10.9998 = \frac{4 \cdot 0.007}{({0.0285}^{2}) \cdot 3.1416}

10.9998s = \frac{4 \cdot 0.007m²/s}{({0.0285m/s}^{2}) \cdot 3.1416}

10.9998 = \frac{4 \cdot 0.007}{({0.0285}^{2}) \cdot 3.1416}

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Average Contact Time by Penetration Theory Solution

Follow our step by step solution on how to calculate Average Contact Time by Penetration Theory?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

t c = \frac{4 \cdot 0.007m²/s}{({0.0285m/s}^{2}) \cdot π}

Next Step Substitute values of Constants

∴

t c = \frac{4 \cdot 0.007m²/s}{({0.0285m/s}^{2}) \cdot 3.1416}

Next Step Prepare to Evaluate

∴

t c = \frac{4 \cdot 0.007}{({0.0285}^{2}) \cdot 3.1416}

Next Step Evaluate

∴

t c = 10.9998251641277s

LAST Step Rounding Answer

∴

t c = 10.9998s

Average Contact Time by Penetration Theory Formula Elements

Variables

Constants

Average Contact Time

Average Contact Time is the variable used to define the time for contacting between liquid and vapor phases.

Symbol: t_c

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Average Contact Time

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)

Average Convective Mass Transfer Coefficient

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.

Symbol: k_{L (Avg)}

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Average Convective Mass Transfer Coefficient

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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 Average Contact Time by Penetration Theory?

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

How to evaluate Average Contact Time by Penetration Theory using this online evaluator? To use this online evaluator for Average Contact Time by Penetration Theory, enter Diffusion Coefficient (DAB) (D_AB) & Average Convective Mass Transfer Coefficient (k_{L (Avg)}) and hit the calculate button.

FAQs on Average Contact Time by Penetration Theory

What is the formula to find Average Contact Time by Penetration Theory?

The formula of Average Contact Time by Penetration Theory is expressed as Average Contact Time = (4*Diffusion Coefficient (DAB))/((Average Convective Mass Transfer Coefficient^2)*pi). Here is an example- 10.99983 = (4*0.007)/((0.028465^2)*pi).

How to calculate Average Contact Time by Penetration Theory?

With Diffusion Coefficient (DAB) (D_AB) & Average Convective Mass Transfer Coefficient (k_{L (Avg)}) we can find Average Contact Time by Penetration Theory using the formula - Average Contact Time = (4*Diffusion Coefficient (DAB))/((Average Convective Mass Transfer Coefficient^2)*pi). This formula also uses Archimedes' constant .

Can the Average Contact Time by Penetration Theory be negative?

No, the Average Contact Time by Penetration Theory, measured in Time cannot be negative.

Which unit is used to measure Average Contact Time by Penetration Theory?

Average Contact Time by Penetration Theory is usually measured using the Second[s] for Time. Millisecond[s], Microsecond[s], Nanosecond[s] are the few other units in which Average Contact Time by Penetration Theory can be measured.

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Average Contact Time by Penetration Theory Formula

Average Contact Time by Penetration Theory Example

Average Contact Time by Penetration Theory Solution

Average Contact Time by Penetration Theory Formula Elements

Other formulas in Mass Transfer Theories category

How to Evaluate Average Contact Time by Penetration Theory?

FAQs on Average Contact Time by Penetration Theory

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