Condensed Matter

    

On the Non-Singularity of the Thermal Conductivity Tensor and Its Consequences

Authors: Ali R. Hadjesfandiari

In this paper, the symmetric character of the thermal conductivity tensor for linear anisotropic material is established as the result of arguments from tensor analysis for Duhamel’s generalization of Fourier’s heat conduction. The non-singular nature of the conductivity tensor plays the fundamental role in establishing this symmetry, as well as its positive (or negative) definiteness. Significantly, the second law of thermodynamics does not contribute here in establishing these characteristics, but does ultimately decide that the conductivity tensor is indeed positive definite.

Comments: 12 Pages. 1 figure, 5 references

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Submission history

[v1] 2015-01-28 14:49:07

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