Novel Approach to Transient Thermal Stress in an Annular Fin

Abstract

This study is to investigate the transient thermal stresses of an annular fin with its base subjected to a heat flux of a decayed exponential function of time. The problems are solved analytically in the Laplace domain, and the results obtained are transformed to the real-time space using the modified Durbin’s numerical inversion method. Durbin’s numerical inverse method into the analysis of transient thermal stresses in annular fins is a novel approach. Durbin’s numerical inverse method successfully implements the boundary value problem, which can be solved in Laplace space. Various material models from the literature are used, and corresponding temperature distributions and stress distributions are computed. Verification of the proposed method is done using benchmark solutions available in the literature for some special cases, and virtually exact results are obtained.