Application of Approximate Analytical Technique Using the Homotopy Perturbation Method to Study the Inclination Effect on the Thermal Behavior of Porous Fin Heat Sink

Mathematical and Computational Applications

Ahmed, Yinusa¹  Sobamowo, Gbeminiyi²  Oguntala, George³ 

[1] Author to whom correspondence should be addressed;Department of Mechanical Engineering, University of Lagos, 101017 Akoka, Nigeria;School of Electrical Engineering, Faculty of Engineering and Informatics, University of Bradford, Bradford BD7 1DP, UK

关键词: approximate analytical analysis;    heat sink;    porous fin;    homotopy perturbation method;   

DOI  :  10.3390/mca23040062

学科分类：计算数学

来源: mdpi

【 摘 要 】

This article presents the homotopy perturbation method (HPM) employed to investigate the effects of inclination on the thermal behavior of a porous fin heat sink. The study aims to review the thermal characterization of heat sink with the inclined porous fin of rectangular geometry. The study establishes that heat sink of an inclined porous fin shows a higher thermal performance compared to a heat sink of equal dimension with a vertical porous fin. In addition, the study also shows that the performance of inclined or tilted fin increases with decrease in length–thickness aspect ratio. The study further reveals that increase in the internal heat generation variable decreases the fin temperature gradient, which invariably decreases the heat transfer of the fin. The obtained results using HPM highlights the accuracy of the present method for the analysis of nonlinear heat transfer problems, as it agrees well with the established results of Runge–Kutta.

【 授权许可】

CC BY