Application of a Green's function method to heat conduction problems in multi-layered cylinders

Abstract

In this paper, the Green's functions which are used in solving the heat conduction problem in a composite cylinder are derived. The functions are obtained by the solution of one-dimensional eigenproblems and are presented in the form of eigenfunction series. The temperature in the cylinder as a function of time and space coordinates are expressed by the Green's functions. A numerical example is presented.