Application of the decomposition method to thermal stresses in isotropic circular fins with temperature-dependent thermal conductivity

Abstract

A stress-field of a perfect elastic isotropic circular fin with variable thermal conductivity is obtained. The thermal conductivity is considered temperature dependent. The nonlinear conduction-convection-radiation heat transfer equation of the circular fins subjected to the nonlinear boundary conditions is solved by Adomian's double decomposition method. The thermal stress distribution is obtained by direct integration of the temperature distribution. Fow low temperature difference between the fin base and the ambiance, the effect of thermal conductivity on pure convection and convection-radiation is important and can be negligible in pure radiation.