Extended thermodynamics of dense gases with at least 24 moments

This article belongs to the research trend on dense and polyatomic gases which began with a well known article by Profs. Arima, Taniguchi, Ruggeri, and Sugiyama following the idea of considering two blocks of balance equations. Since a model with more moments better fits the experimental data, this case has been considered by Profs. Arima, Mentrelli and Ruggeri in the framework of the kinetic approach. The present article pursues a similar end in the framework of the macroscopic approach which is more general than the kinetic one. The general and explicit closure for the 24 moments model is found up to whatever order with respect to equilibrium. It gets to first base on which to build also the model with an arbitrary number of moments; this more general model heavily needs the results of the present article.