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

Oguntala, George; Sobamowo, Gbeminiyi; Ahmed, Yinusa; Abd-Alhameed, Raed

doi:10.3390/mca23040062

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

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School of Electrical Engineering, Faculty of Engineering and Informatics, University of Bradford, Bradford BD7 1DP, UK

Department of Mechanical Engineering, University of Lagos, 101017 Akoka, Nigeria

Author to whom correspondence should be addressed.

Math. Comput. Appl. 2018, 23(4), 62; https://doi.org/10.3390/mca23040062

Received: 19 September 2018 / Revised: 11 October 2018 / Accepted: 12 October 2018 / Published: 15 October 2018

(This article belongs to the Section Engineering)

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Abstract

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. View Full-Text

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

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Oguntala, G.; Sobamowo, G.; Ahmed, Y.; Abd-Alhameed, R. Application of Approximate Analytical Technique Using the Homotopy Perturbation Method to Study the Inclination Effect on the Thermal Behavior of Porous Fin Heat Sink. Math. Comput. Appl. 2018, 23, 62. https://doi.org/10.3390/mca23040062

AMA Style

Oguntala G, Sobamowo G, Ahmed Y, Abd-Alhameed R. 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. 2018; 23(4):62. https://doi.org/10.3390/mca23040062

Chicago/Turabian Style

Oguntala, George, Gbeminiyi Sobamowo, Yinusa Ahmed, and Raed Abd-Alhameed. 2018. "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 23, no. 4: 62. https://doi.org/10.3390/mca23040062

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

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