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RET of Dense Polyatomic Gas with Seven Fields

In: Classical and Relativistic Rational Extended Thermodynamics of Gases

Author

Listed:
  • Tommaso Ruggeri

    (University of Bologna, Department of Mathematics and Research Center on Applied Mathematics)

  • Masaru Sugiyama

    (Nagoya Institute of Technology)

Abstract

In this chapter, we study a RET theory of dense polyatomic gases taking into account the experimental evidence that the relaxation times of molecular rotation and that of molecular vibration are quite different from each other. For simplicity, as in Chap. 24 , we focus on the bulk viscosity but ignore the shear viscosity and the heat conductivity. The present theory includes the previous RET theory of dense gases with six fields as a principal subsystem, and it also includes the RET theory of rarefied polyatomic gases with seven fields (ET7 in Chap. 14 ) in the rarefied-gas limit. The closure is carried out by using the universal principles. In addition, the duality principle connecting rarefied gas to dense gas is adopted. A discussion is devoted to the expression of the production terms in the system of balance equations. As typical examples, we study a gas with virial equations of state and a van der Waals gas. Lastly the dispersion relation of a linear harmonic wave is derived, and its comparison with experimental data is made briefly.

Suggested Citation

  • Tommaso Ruggeri & Masaru Sugiyama, 2021. "RET of Dense Polyatomic Gas with Seven Fields," Springer Books, in: Classical and Relativistic Rational Extended Thermodynamics of Gases, chapter 0, pages 489-514, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-59144-1_25
    DOI: 10.1007/978-3-030-59144-1_25
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