The physical defects of the hyperbolic heat conduction equation |
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Authors: | C Körner HW Bergmann |
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Institution: | Universit?t Erlangen-Nürnberg, Lehrstuhl Werkstoffkunde und Technologie der Metalle, Martensstrasse 5, 91058 Erlangen, Germany, DE Universit?t Bayreuth, Lehrstuhl Materialwissenschaften III, Ludwig-Thoma-Strasse 36b, 95440 Bayreuth, Germany, DE
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Abstract: | In this paper the HHCE is inspected on a microscopic level from a physical point of view. Starting from the Boltzmann transport
equations we study the underlying approximations. We find that the hyperbolic approach to the heat current density violates
the fundamental law of energy conservation. As a consequence, the HHCE predicts physically impossible solutions with a negative
local heat content. This behaviour is demonstrated in detail for a standard problem in heat conduction, the solution for a point
source.
Received: 29 October 1997/Accepted: 17 February 1998 |
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Keywords: | |
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