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Non-linear ET6 and the Role of the Dynamic Pressure: Phenomenological Approach

In: Rational Extended Thermodynamics beyond the Monatomic Gas

Author

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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)

Abstract

In this chapter, we present ET of real gases with six independent fields, i.e., the mass density, the velocity, the temperature and the dynamic pressure, without adopting the near-equilibrium approximation. We prove its compatibility with the universal principles (the entropy principle, the Galilean invariance and the stability), and obtain the symmetric hyperbolic system with respect to the main field. The correspondence between the ET 6-field (ET6) theory and the Meixner theory of relaxation processes is discussed. The internal variable and the nonequilibrium temperature in the Meixner theory are expressed in terms of the quantities of the ET6 theory, in particular, the dynamic pressure. As an example, we present the case of rarefied polyatomic gases and study the monatomic-gas limit where the system converges to the Euler system of a perfect fluid. Arima, T. Taniguchi, S. Ruggeri, T. Sugiyama, M.

Suggested Citation

  • Tommaso Ruggeri & Masaru Sugiyama, 2015. "Non-linear ET6 and the Role of the Dynamic Pressure: Phenomenological Approach," Springer Books, in: Rational Extended Thermodynamics beyond the Monatomic Gas, edition 1, chapter 0, pages 245-269, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-13341-6_11
    DOI: 10.1007/978-3-319-13341-6_11
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