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This paper is concerned with the transient unsteady state thermoelastic problem of thin circular annular fin due to heat source .The transient heat conduction equation is solved by Marchi Zgrablich and Laplace transform with radiation boundary condition. The solution of the problem in the form of infinite series of Bessel function. To determine temperature distribution for heating process and their stresses .Numerical calculations are carried out by using mathematica software. Keywords - Transient distribution, integral transform, heat source, circular annular fin, and transient heating

Unsteady state thermoelastic problem in a circular annular fin due to internal heat source