Close-to-Fourier heat conduction equation for solids: motivation and symbolic-numerical analysis

Herrmann, Heiko and Gu, Hong and Rückner, Gunnar and Siebert, Jurgent and Muschik, Wolfgang (2008) Close-to-Fourier heat conduction equation for solids: motivation and symbolic-numerical analysis. Atti della Accademia Peloritana dei Pericolanti, Classe di Scienze FF.MM.NN, LXXXVI (Supplement 1). ISSN 1825-1242

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Abstract

Heat conduction close-to-Fourier means, that we look for a minimal extension of heat conduction theory using the usual Fourier expression of the heat flux density and modifying that of the internal energy as minimal as possible by choosing the minimal state space. Applying Liu's procedure results in the class of materials and a differential equation both belonging to the close-to-Fourier case of heat conduction. A symbolic-numerical computing method is applied to approximate the numerical solutions of 2 special heat conduction equations belonging to the close-to-Fourier class.

Item Type: Article
Subjects: M.U.S. - Contributi Scientifici > 02 - Scienze fisiche
M.U.S. - Miscellanea > Atti Accademia Peloritana > Classe di Scienze Fisiche, Matematiche e Naturali
Depositing User: Mr Nunzio Femminò
Date Deposited: 28 Jan 2008
Last Modified: 02 Apr 2013 09:09
URI: http://cab.unime.it/mus/id/eprint/458

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