Steady uniform shear flow in a low density granular gas

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 55, Issue 3, 1997, Pages 2846-2856

  Brey, J J ^a   Ruiz Montero, M J ^a   Moreno, F ^a  

^a UNIVERSITY OF SEVILLE   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000252095     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.55.2846     Document Type: Article

References (35)

1. P K. Haff, J. Fluid Mech.134, 401 (1983).
2. C S. Campbell, Ann. Rev. Fluid Mech.22, 57 (1990).
3. H M. Jaeger and S R. Nagel, Science255, 1523 (1992);
4. H M. Jaeger, S R. Nagel, and R P. Behringer, Phys. Today49, (4), 32 (1996).
5. J T. Jenkins and S B. Savage, J. Fluid Mech.130, 187 (1983).
6. C. Lun, S. Savage, D. Jeffrey and N. Chepurnuy, J. Fluid Mech.140, 223 (1984).
7. J T. Jenkins and M W. Richman, Arch. Rat. Mech.87, 355 (1985);
8. J T. Jenkins and M W. Richman, Phys. Fluids28, 3485 (1985).
9. A. Goldsthein and M. Shapiro, J. Fluid Mech.282, 75 (1995).
10. J. J. Brey, J. W. Dufty, and A. Santos, J. Stat. Phys. (to be published); J. W. Dufty, J. J. Brey, and A. Santos, Physica (to be published).
11. J A. McLennan, Introduction to Nonequilibrium Statistical Mechanics (Prentice-Hall, Englewood Cliffs, NJ, 1989).
12. O R. Walton and R L. Braun, Acta Mech.63, 73 (1986).
13. M A. Hopkins and H S. Shen, J. Fluid Mech.244, 477 (1992).
14. B. Bernu and R. Mazighi, J. Phys. A23, 5745 (1990).
15. S. McNamara and W R. Young, Phys. Fluids A4, 496 (1992);
16. S. McNamara and W R. Young, Phys. Fluids A5, 34 (1993);
17. S. McNamara and W R. Young, Phys. Rev E53, 5089 (1996).
18. N. Sela and I. Goldhirsch, Phys. Fluids A7, 507 (1995).
19. I. Goldhirsch and G. Zanetti, Phys. Rev. Lett.70, 1619 (1993).
20. For a recent review, see J W. Dufty, in Lectures on Thermodynamics and Statistical Mechanics, edited by M. López de Haro and C. Varea (World Scientific, Singapore, 1990), pp. 166–181.
21. J T. Jenkins and M W. Richman, J. Fluid Mech.192, 313 (1988).
22. N. Sela, I. Goldhirsch and S N. Noskowitz, Phys. Fluids8, 2337 (1996).
23. G. Bird, Molecular Gas Dynamics (Oxford University Press, Oxford, 1976); Molecular Gas Dynamics and the Direct Simulation of Gas Flows (Clarendon, Oxford, 1994).
24. J J. Brey, M. J. Ruiz-Montero and D. Cubero, Phys. Rev. E54, 3664 (1996).
25. T. P. C. van Noije, R. Brito, and M H. Ernst (unpublished).
26. The models in Ref. 8 are formulated for the revised Enskog equation, but the Boltzmann limit follows trivially.
27. C. Cercignani, Theory and Application of the Boltzmann Equation (Elsevier, New York, 1975); J. Ferziger and H. Karper, Mathematical Theory of Transport Processes in Gases (North-Holland, Amsterdam, 1972).
28. I. Goldhirsch and M.-L. Tan, Phys. Fluids8, 1752 (1996).
29. R. Zwanzig, J. Chem. Phys.71, 4416 (1979).
30. A. Santos, J J. Brey and J W. Dufty, Phys. Rev. Lett.56, 1571 (1986).
31. A. Santos and J J. Brey, Physica A174, 355 (1991).
32. D M. Gass, J. Chem. Phys.54, 1898 (1971).
33. S. Chapman and T G. Cowling, The Mathematical Theory of Non-Uniform Gases (Cambridge University Press, Cambridge, 1970).
34. J. Gómez Ordóñez, J J. Brey and A. Santos, Phys. Rev. A39, 3038 (1989).
35. C S. Campbell, J. Fluid Mech.203, 449 (1989).