An analysis of annular fin’s thermal conductivity and heat production using the DTM-Pade approximation

Abstract

The DTM-Pade approximation is used in the current work to analyze the thermal behavior and thermal stresses of an annular fin while accounting for temperature-dependent thermal conductivity and internal heat generation. The energy problem is converted into a
nonlinear ordinary differential equation (ODE) using non-dimensional parameters, and the DTM-Pade approximation is then utilized to provide an approximate analytical solution. The impacts of various settings on the temperature field are also graphically analyzed.
It has been found that increasing the heat generation parameter causes the temperature distribution to improve. The growing thermo-geometric parameter values lead to an improvement in fin efficiency.