A Modified Decomposition Solution of Triangular Moving Fin with Multiple Variable Thermal Properties

Abstract

In this paper, we use the modified decomposition method (MADM), a recent mathematical technique to find closed-form solutions of the singular nonlinear heat transfer equation of a longitudinal triangular moving fin when all the thermal parameters vary with the temperature. The energy balance equation for the triangular moving fin is solved using the MADM. The results are compared with those obtained using the differential transform method and numerical solutions obtained using the spectral quasi-linearization method. The effects of the various thermo-physical parameters, such as thermal conductivity parameter, power exponent of heat transfer coefficient, surface emissivity parameter, convection–conduction parameter, radiation–conduction parameter, convection sink temperature, radiation sink temperature, heat generation parameter, and the Peclet Number on the temperature distribution and, therefore, energy transfer efficiency are analyzed.