Dense fluid transport for inelastic hard spheres

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

Volumn 59, Issue 5, 1999, Pages 5895-5911

  Garzo V ^a   Dufty, J W ^a  

^a University of Florida ^*  (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE;

EID: 0001215813     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.59.5895     Document Type: Article

References (24)

1. J.J. Brey, J.W. Dufty, C-S Kim, and A. Santos, Phys. Rev. E 58, 4638 (1998).
2. J.J. Brey, M.J. Ruiz-Montero, and D. Cubero (unpublished).
3. H. van Beijeren and M.H. Ernst, Physica A 68, 437 (1973)
4. Physica AH. van BeijerenM.H. Ernst70, 225 (1973)
5. H. van BeijerenM.H. ErnstJ. Stat. Phys. 21, 125 (1979).These references provide the statistical mechanical basis for the RET. It corrects the earlier phenomenological kinetic theory of Enskog (see Ref. 12 below). While the corrections are important for mixtures and states far from equilibrium, they are not important for the calculations done here.
6. J.J. Brey, J.W. Dufty, and A. Santos, J. Stat. Phys. 87, 1051 (1997).
7. C.K.W. Lun, S.B. Savage, D.J. Jeffrey, and N. Chepurniy, J. Fluid Mech. 140, 223 (1984)
8. J. Fluid Mech.C.K.K. Lun, 233, 539 (1991).
9. J.T. Jenkins and M.W. Richman, Arch. Ration. Mech. Anal. 87, 355 (1985)
10. J.T. JenkinsM.W. RichmanPhys. Fluids 28, 3485 (1985).
11. A. Goldshtein and M. Shapiro, J. Fluid Mech. 282, 75 (1995).
12. N. Sela and I. Goldhirsch, J. Fluid Mech. 361, 41 (1998).
13. J.M. Montanero and A. Santos, Phys. Rev. E 54, 438 (1996)
14. J.M. MontaneroA. SantosPhys. Fluids 9, 2057 (1997).
15. J.W. Dufty, J.J. Brey, and A. Santos, Physica A 240, 212 (1997).
16. J.J. Brey, J.W. Dufty, and A. Santos, J. Stat. Phys. (to be published).
17. J. Ferziger and H. Kaper, Mathematical Theory of Transport Processes in Gases (North-Holland, Amsterdam, 1972).
18. T.P.C. van Noije and M.H. Ernst, Granular Matter 1, 57 (1998).
19. N. Dunford and J. Schwartz, Linear Operators (Interscience, New York, 1967).
20. J.J. Brey, M.J. Ruiz-Montero, and D. Cubero, Phys. Rev. E 54, 3664 (1996).
21. A comparison of the low density results in Fig. 11 with the kinetic model was presented in Ref. 1, showing good agreement. The application of the kinetic model in Ref. 1 has an additional approximation, not made here, of neglecting (Formula presented). However, the results are quantitatively almost the same.
22. C. Cercignani, Theory and Applications of the Boltzmann Equation (Elsevier, New York, 1975).
23. A. Santos, J.M. Montanero, J.W. Dufty, and J.J. Brey, Phys. Rev. E 57, 1644 (1998).
24. J.M. Montanero, V. Garzó, A. Santos, and J. J. Brey, J. Fluid Mech. (to be published).