Kinetic theory and hydrodynamics of rigid body fluids

Journal of Chemical Physics

Volumn 109, Issue 16, 1998, Pages 6956-6972

  Grmela, Miroslav ^a   Lafleur, Pierre G ^a  

^a ÉCOLE POLYTECHNIQUE DE MONTRÉAL   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 22244436319     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.477332     Document Type: Article

References (37)

1. M. Grmela, Contemp. Math. 28, 125 (1984);
2. Physica D 21, 179 (1986);
3. Phys. Rev. E 47, 351 (1993).
4. M. Grmela, in Rheological Modelling: Thermodynamic and Statistical Approaches, edited by J. Casas-Vazquez and D. Jou, Lecture Notes in Physics Vol. 381 (Springer, Berlin, 1991), p. 99.
5. A. N. Beris and B. J. Edwards, Thermodynamics of Flowing Systems with Internal Microstructure (Oxford University Press, New York, 1994).
6. B. Z. Dlugogorski, M. Grmela, P. J. Carreau, and G. Lebon, J. Non-Newtonian Fluid Mech. 53, 25 (1994).
7. M. Grmela and B. Z. Dlugogorski, in Rheology and Processing of Liquid Crystal Polymers, edited by D. Acierno and A. A. Collyer (Chapman and Hall, London, 1996), p. 49.
8. J. G. Gay and B. J. Berne, J. Chem. Phys. 74, 3316 (1981).
9. S. Hess, in Electro-Optics and Didectrics of Macromolecules and Colloids, edited by B. R. Jennings (Plenum, New York, 1979), p. 321.
10. E. C. G. Sudarshan and N. Mukunda, Classical Mechanics-Modern Perspectives (Wiley, New York, 1974).
11. J. E. Marsden and A. Weinstein, Physica D 4, 394 (1982).
12. M. Grmela and H. C. Öttinger, Phys. Rev. E 56, 6620 (1997).
13. H. C. Öttinger and M. Grmela, Phys. Rev. E 56, 6633 (1997).
14. R. Gans, Ann. Phys. (Leipzig) 86, 628 (1928).
15. J. Prager, J. Chem. Phys. 23, 2404 (1955).
16. G. B. Jeffery, Proc. R. Soc. London, Ser. A 102, 161 (1923).
17. R. B. Bird, C. F. Curtiss, R. C. Armstrong, and O. Hassager, Dynamics of Polymeric Liquids, Vol. 2, Kinetic Theory (Wiley, New York, 1987).
18. E. J. Hinch and L. G. Leal, J. Fluid Mech. 76, 187 (1976).
19. S. G. Advani and C. L. Tucker, J. Rheol. 31, 751 (1987).
20. S. G. Advani and C. L. Tucker, J. Rheol. 34, 367 (1990).
21. M. Grmela, Contemp. Math. 28, 125 (1984).
22. B. J. Edwards and H. C. Öttinger, Phys. Rev. E 56, 4097 (1997).
23. M. Grmela, B. Z. Dlugogorski, and G. Lebon, Macromol. Theory Simul. 5, 1121 (1996).
24. L. Onsager, Ann. (N.Y.) Acad. Sci. 51, 627 (1949).
25. E. T. Jaynes, Phys. Rev. 106, 620 (1957);
26. 108, 171 (1957);
27. in Maximum Entropy and Bayesian Methods, edited by W. T. Grandy and L. H. Schick (Kluwer, Dordrecht, 1991).
28. M. Grmela, Phys. Rev. E 48, 919 (1993).
29. G. Marrucci and A. Ciferri, J. Polym. Sci., Polym. Lett. Ed. 15, 643 (1977).
30. W. Maier and A. Saupe, Z. Naturforsch. A 14, 882 (1960);
31. 15, 287 (1960).
32. A. C. Eringen and C. B. Kafadar, in Continuum Physics, edited by A. C. Eringen (Plenum, New York, 1976), Vol. IV.
33. J. G. Kirkwood, in Documents in Modern Physics, edited by P. L. Auer (Gordon and Breach, New York, 1967).
34. M. Grmela, A. Ait-Kadi, and P. G. Lafleur, J. Chem. Phys. 109, 6973 (1998), following paper.
35. E. Cosserat and F. Cosserat, Théorie des Corps Deformables (Hermann, Paris, 1909), Vol. 1.
36. B. Z. Dlugogorski, M. Grmela, and P. J. Carreau, J. Non-Newtonian Fluid Mech. 48, 303 (1993);
37. 49, 23 (1993).