Dynamical pressure for fluid mixtures with several temperatures (original) (raw)

Abstract

We consider binary mixtures of fluids with components having different temperatures. A new dynamical pressure term is associated with the difference of temperatures between components even if bulk viscosities are null. The non-equilibrium dynamical pressure can be measured and may be convenient in several physical situations as for example in cosmological circumstances where a dynamical pressure played a major role in the evolution of the early universe.

Loading...

Loading Preview

Sorry, preview is currently unavailable. You can download the paper by clicking the button above.

References (14)

  1. M. Ishii, Thermo-fluid dynamic theory of two-phase flows, Paris, Eyrolles, 1975
  2. S. Putterman, Super fluid hydrodynamics, Elsevier, New York, 1974
  3. I. Müller, T. Ruggeri, Rational Extended Thermody- namics, Springer-Verlag, New York, 1998
  4. T. Ruggeri, S. Simić, On the hyperbolic system of a mix- ture of Eulerian fluids: a comparison between single and multi-temperature models, Math. Meth. Appl. Sci. 30 (2007) 827-849
  5. J. Serrin, Mathematical principles of classical fluid me- chanics in Encyclopedia of Physics VIII/1, in: Flügge (éd.), Springer, Berlin, 1960
  6. V.L. Berdichevsky, Variational principles of continuum mechanics, Nauka, Moscow, 1983
  7. H. Gouin, Variational theory of mixtures in continuum mechanics, Eur. J. Mech. B/Fluids 9 (1990) 469-471
  8. H. Gouin, T. Ruggeri, Mixture of fluids involving entropy gradients and acceleration waves in interfacial layers, Eur. J. Mech. B/Fluids 24 (2005) 596-613
  9. H. Gouin, T. Ruggeri, Identification of an average tem- perature and a dynamical pressure in multi-temperature mixture of fluids, Phys. Rev. E 78 (2008) 016303
  10. H. Gouin, T. Ruggeri, The Hamilton principle for fluid binary mixtures with two temperatures, Boll., Un. Math. It., 9, II (2009)
  11. S.L. Gavrilyuk, H. Gouin, Yu.V. Perepechko, Hyperbolic models of homogeneous two-fluid mixtures, Meccanica 33 (1998) 161-175
  12. D. Lhuillier, From Molecular mixtures to suspensions of particles, J. Physique II 5 (1995) 19-36
  13. S.R. de Groot, W.A. van Leeuwen, Ch.G. van Weert, Relativistic kinetic theory, North-Holland, Amsterdam, 1980
  14. S. Weinberg, Entropy generation and the survival of pro- togalaxies in an expanding universe, Astrophys. J. 168 (1971) 175-194