Macroscopic Theory 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 6 in Classical and Relativistic Rational Extended Thermodynamics of Gases, 2021, pp 179-200 from Springer

Abstract: Abstract The objective of the present chapter is to explain the phenomenological RET theory (ET14) of rarefied polyatomic gases with 14 independent fields, that is, mass density, velocity, temperature, shear stress, dynamic pressure, and heat flux. A gas is assumed to be non-polytropic, that is, the internal energy density of a gas has the nonlinear dependence on the temperature. The system of field equations has a binary hierarchy structure. We show that, by exploiting the universal principles explained in Sect. 2.2 , the constitutive equations can be determined completely by the caloric and thermal equations of state as in the ET13 theory of rarefied monatomic gases. We obtain the closed system of field equations and the main field explicitly. The relationship between the ET14 theory and the Navier-Stokes and Fourier theory is discussed by using the Maxwellian iteration method. For completeness, as a special case, ET14 of rarefied polyatomic gases with polytropic caloric equation of state is also presented.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-59144-1_6

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DOI: 10.1007/978-3-030-59144-1_6

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