Heat Conduction in Heterogeneous Materials

[+] Author and Article Information
J. Baker-Jarvis, R. Inguva

Department of Physics and Astronomy, University of Wyoming, Laramie, Wy. 82071

J. Heat Transfer 107(1), 39-43 (Feb 01, 1985) (5 pages) doi:10.1115/1.3247399 History: Received June 10, 1983; Online October 20, 2009


A new solution to the heat equation in composite media is derived using a variational principle developed by Ben-Amoz. The model microstructure is fed into the equations via a term for the polar moment of the inclusions in a representative volume. The general solution is presented as an integral in terms of sources and a Green function. The problem of uniqueness is studied to determine appropriate boundary conditions. The solution reduces to the solution of the normal heat equation in the limit of homogeneous media.

Copyright © 1985 by ASME
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