On the Necessity of Positive Semi-Definite Conductivity and Onsager Reciprocity in Modeling Heat Conduction in Anisotropic Media

[+] Author and Article Information
Joseph M. Powers

Department of Aerospace and Mechanical Engineering, University of Notre Dame, Notre Dame, Indiana 46556-5637

J. Heat Transfer 126(5), 670-675 (Nov 16, 2004) (6 pages) doi:10.1115/1.1798913 History: Received January 29, 2004; Revised June 03, 2004; Online November 16, 2004
Copyright © 2004 by ASME
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Grahic Jump Location
Example solution for conductive heat transfer in an anisotropic material with a purely antisymmetric thermal conductivity tensor; (a) surface plot of temperature (dimensionless); and (b) isotherms of (T−To)/(Tmax−To) and heat flux vectors (dimensionless)
Grahic Jump Location
Diagram of hypothesized cyclic chemical reaction for which Onsager reciprocity does not hold




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