ABSTRACT
In this work, homotopy analysis and differential transformation methods are applied to study the thermal performance of magnetohydrodynamic convective-radiative porous fin with temperature-invariant thermal conductivity. Also, the effects of other parameters of the thermal model parameters on the heat transfer behaviour of the extended surface are analytically investigated. The results show that as the inclination of fin, convective, radiative, magnetic, and porous parameters increase, the adimensional fin temperature decreases, which leads to an increase in the heat transfer rate through the fin and the thermal efficiency of the porous fin. It is established that the porous fin is more efficient and effective for low values of convective, radiative, magnetic, and porous parameters. Apart from the fact that the work demonstrates the ease of application of the two methods, it is hoped that study will help in proper thermal analysis of fins and in the design of passive heat enhancement devices used for thermal and electronic systems.
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