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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



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:                          Full Text


24/5/2019 Collaboration for THERMAM 2019: Editorial Board of our journal and Organizing Committee of 6th International Conference of Thermophysical and Mechanical Properties of Advanced Materials, 8th Rostocker International Conference of Thermophysical Properties for Technical Thermodynamics have agreed to collaborate. Extended versions of the selected papers from the conference will be published in our journal. For more see Events.

23/12/2018 2018 Most Cited Paper Award: The paper authored by Jouni Freud and Alp Karakoç entitled as “Shear and torsion correction factors of Timoshenko beam model for generic cross sections" is awarded the 2018 Most Cited Paper Award of Research on Engineering Structures and Materials (RESM). We congratulate the authors and wish them a continued success.

23/12/2018 2018 Best Paper Award: The paper authored by Nelson C. Batista, Rui Melicio and Victor M. F. Mendes entitled as “Darrieus vertical axis wind turbines: methodology to study the self start capabilities considering symmetric and asymmetric air foils” is awarded the 2018 Best Paper Award of Research on Engineering Structures and Materials (RESM). We congratulate the authors and wish them a continued success.

(More details of the news may be given in the News section)

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