Nonlinear ET7 Theory with Molecular Rotational and Vibrational Modes

Tommaso Ruggeri and Masaru Sugiyama
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Tommaso Ruggeri: University of Bologna, Department of Mathematics and Research Center on Applied Mathematics
Masaru Sugiyama: Nagoya Institute of Technology

Chapter Chapter 14 in Classical and Relativistic Rational Extended Thermodynamics of Gases, 2021, pp 337-352 from Springer

Abstract: Abstract In Chap. 8 , we have established the ET15 theory of rarefied polyatomic gases where molecular rotational and vibrational modes are taken into account individually. Thereby, compared with the ET14 theory, we have obtained a more refined version with a wider applicability range. And, in Chaps. 12 and 13 , we have constructed the nonlinear ET6 theory by ignoring the shear viscosity and heat conductivity. The features of the dynamic pressure can be highlighted by using the ET6 theory. Similar to the relationship between ET14 and ET15, in this chapter, we derive the ET7 theory of rarefied polyatomic gas with molecular rotational and vibrational modes by ignoring the shear viscosity and heat conductivity as a generalization of the ET6 theory. In this case, as in ET15, we need a triple hierarchy of the moment system. The system of balance equations is closed via the maximum entropy principle (MEP). Three different types of the production term in the system, which are studied in Chap. 8 on the basis of the generalized BGK model for the collision term in the Boltzmann equation, are also adopted. Some characteristic features of the ET7 theory are discussed.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-59144-1_14

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DOI: 10.1007/978-3-030-59144-1_14

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