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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

Oguntala, George A.
; 
Sobamowo, G.
; 
Ahmed, Y.
; 
Publication Date
2018-10
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Keywords
Approximate analytical analysis, Heat sink, Porous fin, Homotopy perturbation method
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© 2018 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
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openAccess
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2018-10-12
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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.
URI
http://hdl.handle.net/10454/16637
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Published version
Citation
Oguntala G, Sobamowo G, Ahmed Y et al (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(4): 62.
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https://doi.org/10.3390/mca23040062
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