Molecular ET of Rarefied Polyatomic Gas with 14 Fields

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 7 in Classical and Relativistic Rational Extended Thermodynamics of Gases, 2021, pp 201-218 from Springer

Abstract: Abstract In this chapter, we prove, in the case of rarefied polyatomic gas with non-polytropic caloric equation of state, that the maximum entropy principle (MEP) gives the same closed system as that obtained in the phenomenological RET theory with 14 fields discussed in Chap. 6 . The key idea for the study of polyatomic gases with MEP is to adopt a generalized distribution function. This is the function not only of the usual variables, i.e., time, position, and velocity, but also of an extra variable that connects with the internal degrees of freedom of a constituent molecule. We can obtain the same binary hierarchy introduced in Chap. 6 in a natural way: the one is the momentum-type, F-hierarchy, and the other is the energy-type, G-hierarchy. The extra variable plays a role in the G-hierarchy. The coincidence of the systems between the phenomenological RET theory and the molecular ET theory in the case of more fields will be proved in Chap. 9 .

Date: 2021
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DOI: 10.1007/978-3-030-59144-1_7

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