Next Article in Journal
A Computational Method with MAPLE for a Piecewise Polynomial Approximation to the Trigonometric Functions
Previous Article in Journal
On a Graph Associated to UP-Algebras
Article Menu
Issue 4 (December) cover image

Export Article

Open AccessArticle

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

1
School of Electrical Engineering, Faculty of Engineering and Informatics, University of Bradford, Bradford BD7 1DP, UK
2
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)
  |  
PDF [2010 KB, uploaded 15 October 2018]
  |  

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 approximate analytical analysis; heat sink; porous fin; homotopy perturbation method
Figures

Figure 1

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
SciFeed

Share & Cite This Article

MDPI and ACS 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. Math. Comput. Appl. 2018, 23, 62.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Math. Comput. Appl. EISSN 2297-8747 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top