Thermal analysis of straight rectangular fin using homotopy perturbation method

In this study a simple and accurate semi-analytical method called Homotopy Perturbation Method (HPM) is used for solving nonlinear energy equation in a straight rectangular fin. The thermal conductivity and surface emissivity are considered as temperature dependent with some constant source of inter...

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Bibliographic Details
Published in:Alexandria engineering journal 2016-09, Vol.55 (3), p.2269-2277
Main Authors: Roy, Pranab Kanti, Mallick, Ashis
Format: Article
Language:English
Subjects:
Efficiency
Homotopy perturbation method
Sink temperature
Variable surface emissivity
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Summary:In this study a simple and accurate semi-analytical method called Homotopy Perturbation Method (HPM) is used for solving nonlinear energy equation in a straight rectangular fin. The thermal conductivity and surface emissivity are considered as temperature dependent with some constant source of internal heat generation. The problem is solved for two main cases of thermo geometric fin parameter Nc=1 and for Nc=0.25. The results are presented for the temperature distribution, efficiency and optimum dimensionless parameters are effective and convenient for practical fins. Also it is found that this method can achieve more suitable results as compared to the other methods available in the literature.
ISSN:1110-0168
DOI:10.1016/j.aej.2016.05.020