Molecular ET Theory of Rarefied Polyatomic Gas

Tommaso Ruggeri and Masaru Sugiyama
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Tommaso Ruggeri: University of Bologna, Dept. of Mathematics and Res. Center of Applied Mathematics AM²
Masaru Sugiyama: Nagoya Institute of Technology, Graduate School of Engineering

Chapter Chapter 10 in Rational Extended Thermodynamics beyond the Monatomic Gas, 2015, pp 213-241 from Springer

Abstract: Abstract Molecular extended thermodynamics of rarefied polyatomic gases is characterized by the system composed of two hierarchies of balance equations for the moments of a distribution function. The internal degrees of freedom of a molecule are properly taken into account in the distribution function. By the reasoning of physical relevance, the truncation orders of the two hierarchies are proved to be not independent of each other. And the two closure procedures based on the maximum entropy principle (MEP) and on the entropy principle are also proved to be equivalent to each other. Characteristic velocities of a hyperbolic system of the balance equations for a polyatomic gas are compared to those obtained for a monatomic gas. The lower bound estimate for the maximum equilibrium characteristic velocity established for a monatomic gas is proved to be valid also for a rarefied polyatomic gas, that is, the estimate is independent of the degrees of freedom of a molecule. As a consequence, also for polyatomic gases, when the number of moments increases the maximum characteristic velocity becomes unbounded.

Keywords: Characteristic Velocity; Main Field; Maximum Entropy Principle; Euler System; Independent Field (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-13341-6_10

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DOI: 10.1007/978-3-319-13341-6_10

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