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

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

Carrisi, M. Cristina;Pennisi, Sebastiano;
entropy 2015 Vol. 17 pp. 214-230
339
carrisi2015anentropy

Abstract

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.

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