Analysis of convective-radiative porous fin with temperature-dependent internal heat generation and magnetic field using homotopy perturbation method

Sobamowo, Gbeminiyi and Adeleye, Olurotimi and Yinusa, Ahmed (2017) Analysis of convective-radiative porous fin with temperature-dependent internal heat generation and magnetic field using homotopy perturbation method. JOURNAL OF COMPUTATIONAL AND APPLIED MECHANICS, 12 (2). pp. 127-145. ISSN 1586-2070

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Abstract

In this work, thermal behavior of convective-radiative porous fin with temperature-dependent internal heat generation subjected to magnetic field using homotopy perturbation method is analyzed. The developed symbolic heat transfer model is used to investigate the effects of convective, radiative, magnetic parameters on the thermal performance of the porous fin. From the study, it is established that increase in porosity, convective, radiative and magnetic parameters increase the rate of heat transfer from the fin and consequently, improve the efficiency of the fin. The homotopy perturbation method used in the work is validated with the results of a numerical method. The results of the two methods are in excellent agreement. Therefore, this study provides a platform for comparison of results of any other method of analysis of the problem. Also, such an analytical tool is valuable as a design and optimization approach for finned heat exchangers where each fin/row is analytically analyzed and where the surrounding fluid is influenced by a magnetic field.

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