George Oguntala - Faculty of Engineering and Information, School of Electrical Engineering and Computer Science, University of Bradford Richmond Road, Bradford, BD۷ ۱DP, West Yorkshire, United Kingdom
Raed Abd-Alhameed - Faculty of Engineering and Information, School of Electrical Engineering and Computer Science, University of Bradford Richmond Road, Bradford, BD۷ ۱DP, West Yorkshire, United Kingdom

In this paper, the Chebychev spectral collocation method is applied for the thermal analysis of convective-radiative straight fins with the temperature-dependent thermal conductivity. The developed heat transfer model was used to analyse the thermal performance, establish the optimum thermal design parameters, and also, investigate the effects of thermo-geometric parameters and thermal conductivity (nonlinear) parameters on the thermal performance of the fin. The results of this study reveal that the rate of heat transfer from the fin increases as the convective, radioactive, and magnetic parameters increase. This study establishes good agreement between the obtained results using Chebychev spectral collocation method and the results obtained using Runge-Kutta method along with shooting, homotopy perturbation, and adomian decomposition methods

Thermal analysis; Convective-radiative fin; Chebychev spectral collocation method; Temperature-dependent thermal conductivity