An 18 moments model for dense gases: Entropy and Galilean relativity principles without expansions

The 14 moments model for dense gases, introduced in the last few years byArima, Taniguchi, Ruggeri and Sugiyama, is here extended up to 18 moments. They havefound the closure of the balance equations up to a finite order with respect to equilibrium; itis also possible to impose for that model the entropy and Galilean relativity principles up towhatever order with respect to equilibrium, but by using Taylor's expansion. Here, the exactsolution is found, without expansions, but a bigger number of moments has to be consideredand reasons will be shown suggesting that this number is at least 18.