Model kinetic equation for low-density granular flow

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

Volumn 54, Issue 1, 1996, Pages 445-456

  Brey, J J ^a   Moreno, F ^a   Dufty, James W ^b  

^a UNIVERSITY OF SEVILLE   (Spain)

^b University of Florida ^*  (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001230431     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.54.445     Document Type: Article

References (24)

1. For a review with references, see C.S. Campbell, Annu. Rev. Fluid Mech.22, 57 (1990).
2. N. Sela and I. Goldhirsch, Phys. Fluids7, 507 (1995).
3. M.A. Hopkins and M.Y. Louge, Phys. Fluids A3, 47 (1990).
4. S. McNamara and W.R. Young, Phys. Fluids A4, 496 (1992);
5. S. McNamara and W.R. Young, Phys. Fluids A5, 34 (1993).
6. I. Goldhirsch and G. Zanetti, Phys. Rev. Lett.70, 1619 (1993).
7. S.B. Savage, J. Fluid. Mech.241, 109 (1992);
8. M. Babić, J. Fluid. Mech.254, 127 (1993);
9. P.J. Schmid and H.K. Kytömaa, J. Fluid. Mech.264, 255 (1994).
10. S. McNamara, Phys. Fluids A5, 3056 (1993).
11. J.T. Jenkins and M.W. Richman, Arch. Ration. Mech. Anal.87, 355 (1985);
12. J.T. Jenkins and M.W. Richman, Phys. Fluids28, 3485 (1985).
13. C. Lun, S. Savage, D. Jeffrey and N. Chepurniy, J. Fluid Mech.140, 223 (1984).
14. C. Cercignani, Theory and Application of the Boltzmann Equation (Elsevier, New York, 1975); J. Ferziger and H. Kaper, Mathematical Theory of Transport Processes in Gases (North-Holland, Amsterdam, 1972).
15. For a review of the exact solutions of the BGK equation, 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.
16. P.K. Haff, J. Fluid Mech.134, 401 (1983).
17. J.A. McLennan, Introduction to Non-equilibrium Statistical Mechanics (Prentice-Hall, Englewood Cliffs, NJ, 1989).
18. P. Resibois and M. de Leener, Classical Kinetic Theory of Fluids (John Wiley and Sons, New York, 1977).
19. S. McNamara and W.R. Young, Phys. Rev. E50, R28 (1994).
20. B. Bernu and R. Mazighi, J. Phys. A23, 5745 (1990).
21. J.W. Dufty, M. Lee and J.J. Brey, Phys. Rev. E51, 297 (1995).
22. Y. Du, H. Li and L.P. Kadanoff, Phys. Rev. Lett.74, 1268 (1995).
23. G. Bird, Molecular Gas Dynamics (Clarendon, Oxford, 1976); and in Microscopic Simulation of Complex Flow, edited by M. Mareschal (Plenum, New York, 1990).
24. J.J. Brey, J.W. Dufty, and A. Santos (unpublished).