Calculations for Extended Thermodynamics of dense gases up to whatever order and with all the symmetries

TL;DR

This paper extends the thermodynamic calculations for dense gases to arbitrary order with all symmetries, generalizing previous second-order models and aligning with kinetic theory constraints.

Contribution

It develops a method to achieve closure of the balance equations at any order, incorporating full symmetry conditions for dense gases.

Findings

Closure achieved at arbitrary order with symmetry constraints.

Results consistent with previous second-order models under symmetry restrictions.

Provides a framework aligned with kinetic theory for dense gases.

Abstract

The 14 moments model for dense gases, introduced in the last years by Arima, Taniguchi Ruggeri, Sugiyama, is here considered. They have found the closure of the balance equations up to second order with respect to equilibrium; here the closure is found up to whatever order with respect to equilibrium, but for a more constrained system where more symmetry conditions are imposed and this in agreement with the suggestion of the kinetic theory. The results, when restricted at second order with respect to equilibrium, are the same of the previously cited model but under the further restriction of full symmetries.