English

Rational Extended Thermodynamics of a Rarefied Polyatomic Gas with Molecular Relaxation Processes

Statistical Mechanics 2017-10-25 v2

Abstract

We present a more refined version of rational extended thermodynamics of rarefied polyatomic gases in which molecular rotational and vibrational relaxation processes are treated individually. In this case we need a triple hierarchy of the moment system and the system of balance equations is closed via the maximum entropy principle. Three different types of the production terms in the system, which are suggested by a generalized BGK-type collision term in the Boltzmann equation, are adopted. In particular, the rational extended thermodynamic theory with seven independent fields (ET7) is analyzed in detail. Finally, the dispersion relation of ultrasonic wave derived from the ET7 theory is confirmed by the experimental data for CO2, Cl2, and Br2 gases.

Keywords

Cite

@article{arxiv.1708.06231,
  title  = {Rational Extended Thermodynamics of a Rarefied Polyatomic Gas with Molecular Relaxation Processes},
  author = {Takashi Arima and Tommaso Ruggeri and Masaru Sugiyama},
  journal= {arXiv preprint arXiv:1708.06231},
  year   = {2017}
}

Comments

20 pages, 8 figures, original paper -