Mass Transfer Coefficient by Surface Renewal Theory Calculator

✖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 [s]			+10% -10%

✖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.ⓘ Mass Transfer Coefficient by Surface Renewal Theory [k_L]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Mass Transfer Operations Formula PDF PDF Image

Mass Transfer Coefficient by Surface Renewal Theory Solution

STEP 0: Pre-Calculation Summary

Formula Used

Convective Mass Transfer Coefficient = sqrt(Diffusion Coefficient (DAB)*Surface Renewal Rate)
k_L = sqrt(D_AB*s)
This formula uses 1 Functions, 3 Variables

Functions Used

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., sqrt(Number)

Variables Used

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.
Surface Renewal Rate - (Measured in 1 Per Second) - Surface Renewal Rate is the fractional rate or frequency of surface renewal.

STEP 1: Convert Input(s) to Base Unit

Diffusion Coefficient (DAB): 0.007 Square Meter Per Second --> 0.007 Square Meter Per Second No Conversion Required
Surface Renewal Rate: 0.012 1 Per Second --> 0.012 1 Per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

k_L = sqrt(D_AB*s) --> sqrt(0.007*0.012)

Evaluating ... ...

k_L = 0.00916515138991168

STEP 3: Convert Result to Output's Unit

0.00916515138991168 Meter per Second --> No Conversion Required

FINAL ANSWER

0.00916515138991168 ≈ 0.009165 Meter per Second <-- Convective Mass Transfer Coefficient

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Chemical Engineering » Mass Transfer Operations » Mass Transfer Theories » Mass Transfer Coefficient by Surface Renewal Theory

Credits

Created by Vaibhav Mishra

DJ Sanghvi College of Engineering (DJSCE), Mumbai

Vaibhav Mishra has created this Calculator and 300+ more calculators!

Verified by Soupayan banerjee

National University of Judicial Science (NUJS), Kolkata

Soupayan banerjee has verified this Calculator and 900+ more calculators!

< Mass Transfer Theories Calculators

Liquid Phase Mass Transfer Coefficient by Two Film Theory

LaTeX Go Overall Liquid Phase Mass Transfer Coefficient = 1/((1/(Gas Phase Mass Transfer Coefficient*Henry's Constant))+(1/Liquid Phase Mass Transfer Coefficient))

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

< Important Formulas in Mass Transfer Coefficient, Driving Force and Theories Calculators

Convective Mass Transfer Coefficient

LaTeX Go Convective Mass Transfer Coefficient = Mass Flux of Diffusion Component A/(Mass Concentration of Component A in Mixture 1-Mass Concentration of Component A in Mixture 2)

Average Sherwood Number of Combined Laminar and Turbulent Flow

LaTeX Go Average Sherwood Number = ((0.037*(Reynolds Number^0.8))-871)*(Schmidt Number^0.333)

Average Sherwood Number of Internal Turbulent Flow

LaTeX Go Average Sherwood Number = 0.023*(Reynolds Number^0.83)*(Schmidt Number^0.44)

Average Sherwood Number of Flat Plate Turbulent Flow

LaTeX Go Average Sherwood Number = 0.037*(Reynolds Number^0.8)

Mass Transfer Coefficient by Surface Renewal Theory Formula

LaTeX Go

Convective Mass Transfer Coefficient = sqrt(Diffusion Coefficient (DAB)*Surface Renewal Rate)
k_L = sqrt(D_AB*s)

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; (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 Mass Transfer Coefficient by Surface Renewal Theory?

Mass Transfer Coefficient by Surface Renewal Theory calculator uses Convective Mass Transfer Coefficient = sqrt(Diffusion Coefficient (DAB)*Surface Renewal Rate) to calculate 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 calculate Mass Transfer Coefficient by Surface Renewal Theory using this online calculator? To use this online calculator for Mass Transfer Coefficient by Surface Renewal Theory, enter Diffusion Coefficient (DAB) (D_AB) & Surface Renewal Rate (s) and hit the calculate button. Here is how the Mass Transfer Coefficient by Surface Renewal Theory calculation can be explained with given input values -> 0.009165 = sqrt(0.007*0.012).

FAQ

What is Mass Transfer Coefficient by Surface Renewal Theory?

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 and is represented as k_L = sqrt(D_AB*s) or Convective Mass Transfer Coefficient = sqrt(Diffusion Coefficient (DAB)*Surface Renewal Rate). 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 & Surface Renewal Rate is the fractional rate or frequency of surface renewal.

How to calculate Mass Transfer Coefficient by Surface Renewal Theory?

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 is calculated using Convective Mass Transfer Coefficient = sqrt(Diffusion Coefficient (DAB)*Surface Renewal Rate). To calculate Mass Transfer Coefficient by Surface Renewal Theory, you need Diffusion Coefficient (DAB) (D_AB) & Surface Renewal Rate (s). With our tool, you need to enter the respective value for Diffusion Coefficient (DAB) & Surface Renewal Rate and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Convective Mass Transfer Coefficient?

In this formula, Convective Mass Transfer Coefficient uses Diffusion Coefficient (DAB) & Surface Renewal Rate. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

Home

FREE PDFs

🔍 Search