A new hybrid approach for transient heat transfer analysis of convective-radiative fin of functionally graded material under Lorentz force

Abstract

In the present paper, a new hybrid method via the Laplace transform and Chebyshev Pseudospectral collocation method is proposed. The proposed method is applied to analyse the transient thermal performance of a convective-radiative fin of functionally graded material under the effect of Lorentz force. The effects of Lorentz force, convective and radiative heat transfer on the thermal performance of the fin are analysed. From the parametric study, the thermal behaviour of the fin of functionally-graded material is established. The study shows that increase in the radiative and magnetic field parameters, as well as the non-homogeneity index, enhances the fin performance. Moreover, the transient thermal response of the fin is low at linear-law function whilst the thermal response is high at exponential-law function. The accuracy of the developed algorithm for the proposed method is validated using an established exact analytical solution. Excellent agreement is established from the result of the present study and the exact analytical method. The present study provides reliable physical insights into the heat transfer enhancement of microelectronic systems components operating in a convective-radiative environment.