Surface Renewal Rate by Surface Renewal Theory Calculator

✖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.ⓘ Convective Mass Transfer Coefficient [k_L]			+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.ⓘ Diffusion Coefficient (DAB) [D_AB]			+10% -10%

✖Surface Renewal Rate is the fractional rate or frequency of surface renewal.ⓘ Surface Renewal Rate by Surface Renewal Theory [s]

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Surface Renewal Rate by Surface Renewal Theory Solution

STEP 0: Pre-Calculation Summary

Formula Used

Surface Renewal Rate = (Convective Mass Transfer Coefficient^2)/Diffusion Coefficient (DAB)
s = (k_L^2)/D_AB
This formula uses 3 Variables

Variables Used

Surface Renewal Rate - (Measured in 1 Per Second) - Surface Renewal Rate is the fractional rate or frequency of surface renewal.
Convective Mass Transfer Coefficient - (Measured in Meter per Second) - 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.
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.

STEP 1: Convert Input(s) to Base Unit

Convective Mass Transfer Coefficient: 0.0095 Meter per Second --> 0.0095 Meter per Second No Conversion Required
Diffusion Coefficient (DAB): 0.007 Square Meter Per Second --> 0.007 Square Meter Per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

s = (k_L^2)/D_AB --> (0.0095^2)/0.007

Evaluating ... ...

s = 0.0128928571428571

STEP 3: Convert Result to Output's Unit

0.0128928571428571 1 Per Second --> No Conversion Required

FINAL ANSWER

0.0128928571428571 ≈ 0.012893 1 Per Second <-- Surface Renewal Rate

(Calculation completed in 00.006 seconds)

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Created by Vaibhav Mishra

DJ Sanghvi College of Engineering (DJSCE), Mumbai

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< Mass Transfer Theories Calculators

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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

Surface Renewal Rate by Surface Renewal Theory Formula

LaTeX Go

Surface Renewal Rate = (Convective Mass Transfer Coefficient^2)/Diffusion Coefficient (DAB)
s = (k_L^2)/D_AB

What is Surface Renewal Theory ?

The surface renewal theory, developed by Danckwerts, applies mathematics of the penetration theory to a more plausible situation, where the liquid is pictured as two regions, a large well mixed bulk region and an interfacial region, which is renewed so fast that it behaves as a thick film.

What are the assumptions of Surface Renewal Theory?

The basic assumptions of the theory are (1) liquid elements at the interface are being randomly swapped by fresh elements from the bulk; (2) at any moment, each of the liquid elements at the interface has the same probability of being substituted by a fresh element; and (3) mass transfer from the gas into the liquid element during its stay at the interface takes place under unsteady-state conditions.

How to Calculate Surface Renewal Rate by Surface Renewal Theory?

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

How to calculate Surface Renewal Rate by Surface Renewal Theory using this online calculator? To use this online calculator for Surface Renewal Rate by Surface Renewal Theory, enter Convective Mass Transfer Coefficient (k_L) & Diffusion Coefficient (DAB) (D_AB) and hit the calculate button. Here is how the Surface Renewal Rate by Surface Renewal Theory calculation can be explained with given input values -> 0.012893 = (0.0095^2)/0.007.

FAQ

What is Surface Renewal Rate by Surface Renewal Theory?

The Surface Renewal Rate by Surface Renewal Theory formula is used to calculate the surface renewal rate in mass transfer based on surface renewal theory using diffusivity and mass transfer coefficient and is represented as s = (k_L^2)/D_AB or Surface Renewal Rate = (Convective Mass Transfer Coefficient^2)/Diffusion Coefficient (DAB). 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 & 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.

How to calculate Surface Renewal Rate by Surface Renewal Theory?

The Surface Renewal Rate by Surface Renewal Theory formula is used to calculate the surface renewal rate in mass transfer based on surface renewal theory using diffusivity and mass transfer coefficient is calculated using Surface Renewal Rate = (Convective Mass Transfer Coefficient^2)/Diffusion Coefficient (DAB). To calculate Surface Renewal Rate by Surface Renewal Theory, you need Convective Mass Transfer Coefficient (k_L) & Diffusion Coefficient (DAB) (D_AB). With our tool, you need to enter the respective value for Convective Mass Transfer Coefficient & Diffusion Coefficient (DAB) and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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