A Study of Linear Waves Based on Extended Thermodynamics for Rarefied Polyatomic Gases

2014 ◽  
Vol 132 (1) ◽  
pp. 15-25 ◽  
Author(s):  
Takashi Arima ◽  
Shigeru Taniguchi ◽  
Tommaso Ruggeri ◽  
Masaru Sugiyama
Keyword(s):  
Extended Thermodynamics ◽  
Polyatomic Gases ◽  
Linear Waves ◽  
Rarefied Polyatomic Gases

scholarly journals Molecular Extended Thermodynamics of Rarefied Polyatomic Gases with a New Hierarchy of Moments

Fluids ◽  
2021 ◽  
Vol 6 (2) ◽  
pp. 62
Author(s):  
Takashi Arima ◽  
Tommaso Ruggeri
Keyword(s):  
Degrees Of Freedom ◽  
Maximum Entropy Principle ◽  
Extended Thermodynamics ◽  
Moment Equations ◽  
Field Equations ◽  
Polyatomic Gases ◽  
Moment System ◽  
Rarefied Polyatomic Gases ◽  
Entropy Principle ◽  
Internal Degrees Of Freedom

The aim of this paper is to construct the molecular extended thermodynamics for classical rarefied polyatomic gases with a new hierarchy, which is absent in the previous procedures of moment equations. The new hierarchy is deduced recently from the classical limit of the relativistic theory of moments associated with the Boltzmann–Chernikov equation. The field equations for 15 moments of the distribution function, in which the internal degrees of freedom of a molecule are taken into account, are closed with the maximum entropy principle. It is shown that the theory contains, as a principal subsystem, the previously polyatomic 14 fields theory, and in the monatomic limit, in which the dynamical pressure vanishes, the differential system converges, instead of to the Grad 13-moment system, to the Kremer 14-moment system.

Dispersion relation for sound in rarefied polyatomic gases based on extended thermodynamics

2012 ◽  
Vol 25 (6) ◽  
pp. 727-737 ◽  
Author(s):  
Takashi Arima ◽  
Shigeru Taniguchi ◽  
Tommaso Ruggeri ◽  
Masaru Sugiyama
Keyword(s):  
Dispersion Relation ◽  
Extended Thermodynamics ◽  
Polyatomic Gases ◽  
Rarefied Polyatomic Gases
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