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In this paper, the Green's functions which are used in solving the heat conduc- tion 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. wise, in papers (2, 3), the solution of the heat conduction problem in a cylinder was obtained by using the Laplace transform. The inverse transform has been numeri cally determined. However, the numerical computations of the inverse transform often leads to numerical instabilities and for this reason the seeking of new methods is purposeful. The other approach to solving the problem is the use of the proper ties of Green's functions which correspond to the initial boundary problem of heat conduction in the layers of the considered composite cylinder. Applications of the Green's functions to various problems of heat conduction are presented in the book by Beck et al. (4), in the book by Duffy (5) and in the book by Ozisik (6). The Green's function method to the heat conduction in a composite twolayered cylinder has been applied in reference (7). In this paper the Green's functions applying in the problems of the heat conduc tion in finite, composite multilayered cylinders ar e derived. The functions are obtained by solving the heat conduction differential equation with homogenous boundary conditions of the second and third kind. An example of application of the Green's functions to the problem of heat conduction in radial direction of a twolayered cylinder is given. The temperature in the cylinder as a time function is numerically computed.

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