Heat Conduction in an Anisotropic Medium Homogeneous in Cylindrical Regions—Unsteady State

[+] Author and Article Information
Y. P. Chang

Department of Mechanical Engineering, State University of New York at Buffalo, Buffalo, N. Y.

R. C. H. Tsou

General Electric Co., San Jose, Calif.

J. Heat Transfer 99(1), 41-46 (Feb 01, 1977) (6 pages) doi:10.1115/1.3450652 History: Received April 28, 1976; Online August 11, 2010


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.

Copyright © 1977 by ASME
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