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Mass Transfer Coefficient by Surface Renewal Theory Formula

GoMass Transfer Coefficient by Film Theory Formula

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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. Check FAQs

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

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

Mass Transfer Coefficient by Surface Renewal Theory Example

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Here is how the Mass Transfer Coefficient by Surface Renewal Theory equation looks like with Values.

Here is how the Mass Transfer Coefficient by Surface Renewal Theory equation looks like with Units.

Here is how the Mass Transfer Coefficient by Surface Renewal Theory equation looks like.

0.0092 = \sqrt{0.007 \cdot 0.012}

0.0092m/s = \sqrt{0.007m²/s \cdot 0.0121/s}

0.0092 = \sqrt{0.007 \cdot 0.012}

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Mass Transfer Coefficient by Surface Renewal Theory Solution

Follow our step by step solution on how to calculate Mass Transfer Coefficient by Surface Renewal Theory?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

k L = \sqrt{0.007m²/s \cdot 0.0121/s}

Next Step Prepare to Evaluate

∴

k L = \sqrt{0.007 \cdot 0.012}

Next Step Evaluate

∴

k L = 0.00916515138991168m/s

LAST Step Rounding Answer

∴

k L = 0.0092m/s

Mass Transfer Coefficient by Surface Renewal Theory Formula Elements

Variables

Functions

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

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)

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

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Convective Mass Transfer Coefficient

Go Mass Transfer Coefficient by Film Theory

k L = \frac{D AB}{δ}

Other formulas in Mass Transfer Theories category

Go Average Sherwood Number of Combined Laminar and Turbulent Flow

N sh = ((0.037 \cdot ({Re}^{0.8})) - 871) \cdot ({Sc}^{0.333})

Go Average Sherwood Number of Flat Plate Turbulent Flow

N sh = 0.037 \cdot ({Re}^{0.8})

Go Average Sherwood Number of Internal Turbulent Flow

N sh = 0.023 \cdot ({Re}^{0.83}) \cdot ({Sc}^{0.44})

Go Convective Mass Transfer Coefficient

k L = \frac{m a}{ρ a1 - ρ a2}

How to Evaluate Mass Transfer Coefficient by Surface Renewal Theory?

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

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

FAQs on Mass Transfer Coefficient by Surface Renewal Theory

What is the formula to find Mass Transfer Coefficient by Surface Renewal Theory?

The formula of Mass Transfer Coefficient by Surface Renewal Theory is expressed as Convective Mass Transfer Coefficient = sqrt(Diffusion Coefficient (DAB)*Surface Renewal Rate). Here is an example- 0.009165 = sqrt(0.007*0.012).

How to calculate Mass Transfer Coefficient by Surface Renewal Theory?

With Diffusion Coefficient (DAB) (D_AB) & Surface Renewal Rate (s) we can find Mass Transfer Coefficient by Surface Renewal Theory using the formula - Convective Mass Transfer Coefficient = sqrt(Diffusion Coefficient (DAB)*Surface Renewal Rate). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Convective Mass Transfer Coefficient?

Here are the different ways to Calculate Convective Mass Transfer Coefficient-

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

Can the Mass Transfer Coefficient by Surface Renewal Theory be negative?

Yes, the Mass Transfer Coefficient by Surface Renewal Theory, measured in Speed can be negative.

Which unit is used to measure Mass Transfer Coefficient by Surface Renewal Theory?

Mass Transfer Coefficient by Surface Renewal Theory is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Mass Transfer Coefficient by Surface Renewal Theory can be measured.

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