Thermally Symmetric Nonlinear Heat Transfer in Solids

[+] Author and Article Information
M. Imber

Polytechnic Institute of New York, Brooklyn, New York 11201

J. Heat Transfer 103(4), 745-752 (Nov 01, 1981) (8 pages) doi:10.1115/1.3244536 History: Received November 14, 1980; Online October 20, 2009


Material thermal properties are temperature dependent, and this effect cannot be disregarded at elevated design temperatures. Based upon the principle of equivalent linearization, analytical solutions are developed for thermally symmetric planar solids. The solution method is, in turn, extended to a composite wall whose individual thermal conductivities are also temperature dependent. As a demonstration of the method’s accuracy several numerical examples are shown.

Copyright © 1981 by ASME
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