ABSTRACT
In this work, the effect of magnetic field on nonlinear thermal performance of convective-radiative fin with temperature-dependent internal heat generation is analyzed using homotopy analysis method. The results of the series solutions are verified analytically and numerically, and very good agreements are established. The symbolic solutions are adopted to explore the impacts of the model parameters on the performance of the passive device. It is found that as the coductive-convective, conductive-radiative and magnetic field parameters increase, the fin temperature distribution in the fin decreases which the heat transfer rate through the fin is augmented and hence, the fin thermal efficiency is improved. The temperature distribution in the fin increases through the fin as the nonlinear thermal conductivity parameter increases. It is hoped that the present study gives a good insight into nonlinear analysis of the extended surface which will aid proper design of the extended surfaces in thermal systems.
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