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Research Article

Finite element analysis of transient thermal performance of a convective-radiative cooling fin: effects of fin tip conditions and magnetic field

M. G. Sobamowo

Department of Mechanical Engineering, University of Lagos, Akoka, Lagos, Nigeria

Keywords

Abstract



Transient analysis;

Fin tip conditions;

Finite element method;

Magnetic field;


The wide range of applications of cooling fins are evident in heat transfer enhancements for various thermal systems and also, for the control and prevention of thermal damages in mechanical and electronic equipment. In this work, nonlinear thermal behaviour of convective-radiative cooling fin with convective tip and subjected to magnetic field is analyzed using Galerkin finite element method. The numerical solutions are verified by the exact analytical solution of the linearized models using Laplace transforms method. Based on the numerical investigations, it is established that increase in Biot number, convective, radiative and magnetic parameters increase the rate of heat transfer from the fin and consequently improve the efficiency of the cooling fin. Also, the study shows that for a relatively short cooling fin operating for prolonged periods of time or steady state, the adiabatic/hypothetical condition (or negligible heat transfer) at the tip can be assumed without any significant loss in accuracy or equality as compared to the convective condition at the tip. However, for a long cooling fin of finite length operating in a transient state, especially for short period of time, the assumption of insulated tip produces significant different results as compared to the results of the convective tip. Therefore, for transient thermal studies of fins, the assumption that no heat transfer takes place at the fin tip should be taken with caution for a long cooling fin of finite length operating within a relatively short period of time. It is hope that the present study will enhance the understanding of transient thermal response of the solid fin under various factors and fin tip conditions.

 © 2018 MIM Research Group. All rights reserved.

DOI: http://dx.doi.org/10.17515/resm2018.52me0526                          Full Text

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29/12/2021 Best Paper Award: According to the Advisory Board decision, the paper authored by Sahar Ismail, Wassim Raphael, Emmanuel Durand entitled as “Case study of the Beirut port explosion using 3D laser scan and nonlinear finite element model” is awarded the 2021 Best Paper Award of Research on Engineering Structures and Materials (RESM). We congratulate the authors and wish them a continued success.  



29/12/2021 Most Cited Paper Award: According to the Editorial Board evaluation, the paper authored by Sinan Kutluay, Orhan Baytar, Ömer Şahin entitled as “Adsorption kinetics, equilibrium and thermodynamics
of gas-phase toluene onto char produced from almond shells" is awarded the 2021 Most Cited Paper Award of Research on Engineering Structures and Materials (RESM). We congratulate the authors and wish them a continued success.


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LATEST AWARDS


2021 Best Paper Award:

The paper authored by Sahar Ismail, Wassim Raphael, Emmanuel Durand entitled as “Case study of the Beirut port explosion using 3D laser scan and nonlinear finite element model” is awarded the 



2021 Most Cited Paper Award:

The paper authored by Sinan Kutluay, Orhan Baytar, Ömer Şahin entitled as “Adsorption kinetics, equilibrium and thermodynamics of gas-phase toluene onto char produced from almond shells" is awarded the


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