Skip to main content
Disciplines
Automotive Business IT + Informatics Construction + Real Estate Electrical Engineering + Electronics Energy + Sustainability Insurance + Risk Finance + Banking Management + Leadership Marketing + Sales Mechanical Engineering + Materials
Events
DE
EN
Books
Journals
Topic Page
Marketing
Start single access now
Access for companies
EXTENDED SEARCH
Log in
Top
Published in:
Introduction Read chapter Read first chapter

2015 | OriginalPaper | Chapter

12. Molecular Non-linear ET6 for Rarefied Polyatomic Gas

Authors : Tommaso Ruggeri, Masaru Sugiyama

Published in: Rational Extended Thermodynamics beyond the Monatomic Gas

Publisher: Springer International Publishing

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

We establish extended thermodynamics of rarefied polyatomic gases with six independent fields via the maximum entropy principle. The distribution function is not necessarily near equilibrium. The result is in perfect agreement with the phenomenological ET theory explained in the previous Chap. 11 This is the first example of molecular extended thermodynamics with a non-linear closure. The integrability condition of the moments requires that the dynamical pressure should be bounded from below and from above.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

inform now
previous chapter Non-linear ET6 and the Role of the Dynamic Pressure: Phenomenological Approach
next chapter Application of ET6: Shock Wave and Sub-shock Formation
Literature
1.
I. Müller, T. Ruggeri, Rational Extended Thermodynamics, 2nd edn. (Springer, New York, 1998)CrossRefMATH
2.
F. Brini, Hyperbolicity region in extended thermodynamics with 14 moments. Contin. Mech. Thermodyn. 13, 1 (2001)CrossRefMATH
3.
T. Ruggeri, M. Trovato, Hyperbolicity in extended thermodynamics of Fermi and Bose gases. Contin. Mech. Thermodyn. 16(6), 551 (2004)
4.
T. Arima, S. Taniguchi, T. Ruggeri, M. Sugiyama, Nonlinear extended thermodynamics of real gases with 6 fields. Int. J. Non-Linear Mech. 72, 6 (2015)CrossRef
5.
T. Ruggeri, Non-linear maximum entropy principle for a polyatomic gas subject to the dynamic pressure. Bull. Inst. Math. Acad. Sin. Special Issue in honor of Tai-Ping Liu 70 birthday 11 (2016)
6.
T. Ruggeri, Galilean invariance and entropy principle for systems of balance laws. The structure of the extended thermodynamics. Contin. Mech. Thermodyn. 1, 3 (1989)MathSciNetCrossRefMATH
7.
S.K. Godunov, An interesting class of quasilinear systems. Sov. Math. 2, 947 (1961)MATH
8.
G. Boillat, T. Ruggeri, Hyperbolic principal subsystems: entropy convexity and subcharacteristic conditions. Arch. Ration. Mech. Anal. 137, 305 (1997)MathSciNetCrossRefMATH
9.
T. Arima, S. Taniguchi, T. Ruggeri, M. Sugiyama, Extended thermodynamics of real gases with dynamic pressure: an extension of Meixner’s theory. Phys. Lett. A 376, 2799 (2012)MathSciNetCrossRef
10.
T. Arima, T. Ruggeri, M. Sugiyama, S. Taniguchi, On the six-field model of fluids based on extended thermodynamics. Meccanica 49, 2181 (2014)MathSciNetCrossRef
11.
P. Secchi, Existence theorems for compressible viscous fluid having zero shear viscosity. Rend. Sem. Padova 70, 73 (1983)
12.
V. Shelukhin, Vanishing shear viscosity in a free-boundary problem for the equations of compressible fluids. J. Differ. Equ. 167, 73 (2000)MathSciNetCrossRefMATH
13.
H. Frid, V. Shelukhin, Vanishing shear viscosity in the equations of compressible fluids for the flows with the cylinder symmetry. SIAM J. Math. Anal. 31, 1144 (2000)MathSciNetCrossRefMATH
Metadata
Title
Molecular Non-linear ET6 for Rarefied Polyatomic Gas
Authors
Tommaso Ruggeri
Masaru Sugiyama
Copyright Year
2015
Book
Rational Extended Thermodynamics beyond the Monatomic Gas

Print ISBN: 978-3-319-13340-9

Electronic ISBN: 978-3-319-13341-6

Copyright Year: 2015

DOI
https://doi.org/10.1007/978-3-319-13341-6_12

Premium Partners

    Image Credits