HEAT CONDUCTION EQUATION IN PHYSICALLY INHOMOGENEOUS MOVING COMPOSITE SOLIDS

Abstract

This paper presents a heat conduction problem inhomogeneous physically moving compound bodies, which consists of two cylinders. Using a sequence of integral transformations(Laplace, Hankel), the Cauchys residue theory, Bessel functions theory and using the results of the roots of one transcendental equation, which results from the conditions of contact between the two cylinders, a solution in the form of the series is obtained. Hence a special case of alternating zeros of transcendental equation is also given.