Abstract

This paper is concerned with an inverse thermoelastic problem in which we need to determine the temperature distribution, unknown temperature gradient, displacement, stress functions and thermal stresses on the outer curved surface of a thin annular fin when the interior heat flux is known. Finite classical Marchi-Zgrablich transform and Laplace transform techniques have been utilized to obtain the solution for the problem. The results are obtained in the form of Marchi-Zgrablich series and depicted graphically.

Key words: Inverse transient problem, circular annular fin, Marchi-Zgrablich and Laplace transform.