Three-Dimensional, Steady-State Heat Conduction in Cylinders of General Anisotropic-Media

[+] Author and Article Information
Y. P. Chang, K. C. Poon

Department of Mechanical Engineering, State University of New York at Buffalo, Amherst, New York 14260

J. Heat Transfer 101(3), 548-553 (Aug 01, 1979) (6 pages) doi:10.1115/1.3451026 History: Received October 11, 1978; Online August 11, 2010


This paper provides the analytical solution of three-dimensional steady-state heat conduction in solid and hollow cylinders of general anisotropic-media. By the use of Fourier transforms and a change of variables the partial differential equation is reduced to Kummer’s equation. Some calculated results for a solid cylinder are shown and discussed. A parameter γ is found to represent the coupling effect of three-dimensional anisotropy. For small values of γ, an approximate solution is recommended. The inequality σ > 0 which was found in an earlier paper is further discussed.

Copyright © 1979 by ASME
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