Abstract
A number of problems of heat conduction in an anisotropic medium of a monoclinic system which is homogeneous in circular cylinder coordinates are solved through the use of Green’s functions. Regions of solid and hollow cylinders, and an infinite region bounded internally by a cylindrical surface with boundary conditions of Dirichlet, Neumann, and mixed types are considered. Calculated results for two examples are shown, and the effects of material anisotropy on the temperature field are discussed. This paper is the first of a series to be reported in the open literature concerning the analytical solution for heat conduction in anisotropic media which are homogeneous in circular cylinder and rectangular coordinate systems.
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