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Entropy 2013, 15(3), 1035-1056; doi:10.3390/e15031035

Entropy Principle and Galilean Relativity for Dense Gases, the General Solution without Approximations

Dipartimento di Matematica ed Informatica, University of Cagliari, Via Ospedale 72, 09124 Cagliari, Italy
* Author to whom correspondence should be addressed.
Received: 4 February 2013 / Revised: 23 February 2013 / Accepted: 27 February 2013 / Published: 11 March 2013
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The many moments model for dense gases and macromolecular fluids is considered here, where the upper order moment is chosen in accordance to the suggestions of the non-relativistic limit of the corresponding relativistic model. The solutions of the restrictions imposed by the entropy principle and that of Galilean relativity were, until now, obtained in the literature by using Taylor expansions around equilibrium and without proving convergence. Here, an exact solution without using expansions is found. The particular case with only 14 moments has already been treated in the literature in a completely different way. Here, it is proven that this particular closure is included in the presently more general one.
Keywords: extended thermodynamics; dense gas; Galilean relativity extended thermodynamics; dense gas; Galilean relativity
This is an open access article distributed under the Creative Commons Attribution License (CC BY) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Carrisi, M.C.; Montisci, S.; Pennisi, S. Entropy Principle and Galilean Relativity for Dense Gases, the General Solution without Approximations. Entropy 2013, 15, 1035-1056.

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