Heat conduction equation in physically inhomogeneous moving composite solids

Document Type : Original articles

Authors

1 Baku State University, Faculty of applied mathematics, Baku

2 El-Mergeb University, Faculty of Science, Mathematics Department, Libya

3 Department of Mathematics, Faculty of Science, Damietta University, Damietta 34517, Egypt

Abstract

This paper presents a heat conduction problem of inhomogeneous physically moving compound
bodies, which consists of two cylinders. Using a sequence of integral transformations(Laplace,
Hankel), the Cauchys residue theory, Bessel functions 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 a series is obtained. A special case of alternating zeros of transcendental
equation is also given.

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