Conditionally Exact Closed-Form Solution for Moving Boundary Problems in Heat and Mass Transfer in the Presence of Advection

2021 ◽  
Vol 180 ◽  
pp. 121802
Author(s):  
Ankur Jain ◽  
Mohammad Parhizi
Keyword(s):  
Mass Transfer ◽  
Closed Form ◽  
Heat And Mass Transfer ◽  
Moving Boundary ◽  
Closed Form Solution ◽  
Form Solution ◽  
Moving Boundary Problems ◽  
Boundary Problems

Study of Combined Heat and Mass Transfer From Fins Using Non-Dimensional Finite Element Formulation

2013 ◽  
Author(s):  
Sulaman Pashah ◽  
Syed M. Zubair ◽  
Abul Fazal M. Arif
Keyword(s):  
Mass Transfer ◽  
Finite Element ◽  
Closed Form ◽  
Heat And Mass Transfer ◽  
Closed Form Solution ◽  
Base Material ◽  
Form Solution ◽  
Element Formulation ◽  
Dimensionless Parameters ◽  
Dimensional Finite Element

The use of dimensional analysis and dimensionless parameters is very common in the field of heat transfer. The paper presents a non-dimensional finite element capable of modeling combined heat and mass transfer from fins. The aim of the formulation is to get solution of the fin problems that do not have a closed form solution. The performance of a fin is described through its efficiency and numerous closed form solutions for fin efficiency under combined heat and mass transfer are available in the literature. Deriving a closed form solution for geometric or material complexities is somewhat a difficult task. An example is variable profile composite fin. A composite fin is composed of base material or substrate with a coating layer. Finite element approach can handle such complexity with relatively ease, Therefore the main objective is to developed formulation for mass transfer problems. The formulation is derived in dimensionless form to extend the applicability of finite element results to a class of problems with same governing dimensionless parameters. The derived formulation is then applied to study the combined heat and mass transfer for variable profile composite fins under fully wet condition.

Free and Moving Boundary Problems of Heat and Mass Transfer

2018 ◽  
Vol 7 (3.27) ◽  
pp. 18
Author(s):  
P Kanakadurga Devi ◽  
V G. Naidu ◽  
K Mamatha ◽  
B Naresh
Keyword(s):  
Mass Transfer ◽  
Differential Equations ◽  
Boundary Problem ◽  
Heat And Mass Transfer ◽  
Moving Boundary ◽  
Moving Boundary Problem ◽  
Interval Length ◽  
Bisection Method ◽  
Moving Boundary Problems ◽  
Boundary Problems

Bisection method is used to solve a moving boundary problem. This moving boundary problem was solved by the maze of mathematical manipulations by several authors. The method of using bisection is simple as compared to the lengthy mathematical manipulation of other methods. The procedure of the paper is useful in other moving boundary problems of heat and mass transfer, including boundary value problems involving ordinary differential equations with unknown interval length.  

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