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

Tommaso Ruggeri and Masaru Sugiyama
Additional contact information
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

Chapter Chapter 11 in Rational Extended Thermodynamics beyond the Monatomic Gas, 2015, pp 245-269 from Springer

Abstract: 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.

Keywords: Dynamic Pressure; Internal Variable; Bulk Viscosity; Main Field; Euler System (search for similar items in EconPapers)
Date: 2015
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-13341-6_11

Ordering information: This item can be ordered from
http://www.springer.com/9783319133416

DOI: 10.1007/978-3-319-13341-6_11

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().