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Entropy 2015, 17(1), 214-230;

An 18 Moments Model for Dense Gases: Entropy and Galilean Relativity Principles without Expansions

Dipartimento di Matematica ed Informatica , Universitá di Cagliari, Via ospedale 72, 09124 Cagliari, Italy
Author to whom correspondence should be addressed.
Received: 6 November 2014 / Accepted: 25 December 2014 / Published: 9 January 2015
(This article belongs to the Section Thermodynamics)
PDF [215 KB, uploaded 24 February 2015]


The 14 moments model for dense gases, introduced in the last few years by Arima, Taniguchi, Ruggeri and Sugiyama, is here extended up to 18 moments. They have found the closure of the balance equations up to a finite order with respect to equilibrium; it is also possible to impose for that model the entropy and Galilean relativity principles up to whatever order with respect to equilibrium, but by using Taylor’s expansion. Here, the exact solution is found, without expansions, but a bigger number of moments has to be considered and reasons will be shown suggesting that this number is at least 18. View Full-Text
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 which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).

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Carrisi, M.C.; Pennisi, S. An 18 Moments Model for Dense Gases: Entropy and Galilean Relativity Principles without Expansions. Entropy 2015, 17, 214-230.

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