Granular mixtures modeled as elastic hard spheres subject to a drag force

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 75, Issue 6, 2007, Pages

  Reyes, Francisco Vega ^a   Garzó, Vicente ^a   Santos, Andrés ^a  

^a UNIVERSITY OF EXTREMADURA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

BOLTZMANN EQUATION; DRAG; ELASTICITY; MATHEMATICAL MODELS; NAVIER STOKES EQUATIONS; PARAMETER ESTIMATION;

BOLTZMANN COLLISION OPERATORS; DRAG FORCE; ELASTIC HARD DISKS; MULTICOMPONENT SYSTEMS;

GAS MIXTURES;

EID: 34547286436     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.75.061306     Document Type: Article

References (40)

1. I. Goldhirsch, Annu. Rev. Fluid Mech. ARVFA3 0066-4189 10.1146/annurev.fluid.35.101101.161114 35, 267 (2003).
2. N. V. Brilliantov and T. Pöschel, Kinetic Theory of Granular Gases (Oxford University Press, Oxford, 2004).
3. P. A. Martin and J. Piasecki, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i1999-00308-1 46, 613 (1999).
4. V. Garzó and J. W. Dufty, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.60.5706 60, 5706 (1999).
5. A. Barrat and E. Trizac, Granular Matter GRMAFE 1434-5021 10.1007/s10035-002-0108-4 4, 57 (2002).
6. J. M. Montanero and V. Garzó, Granular Matter GRMAFE 1434-5021 10.1007/s10035-001-0097-8 4, 17 (2002).
7. S. R. Dahl, C. M. Hrenya, V. Garzó, and J. W. Dufty, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.66.041301 66, 041301 (2002).
8. R. Pagnani, U. M. Bettolo Marconi, and A. Puglisi, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.66.051304 66, 051304 (2002);
9. D. Paolotti, C. Cattuto, U. M. Bettolo Marconi, and A. Puglisi, Granular Matter GRMAFE 1434-5021 10.1007/s10035-003-0133-y 5, 75 (2003);
10. P. E. Krouskop and J. Talbot, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.68.021304 68, 021304 (2003);
11. H. Q. Wang, G. J. Jin, and Y. Q. Ma, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.68.031301 68, 031301 (2003);
12. J. J. Brey, M. J. Ruiz-Montero, and F. Moreno, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.098001 95, 098001 (2005).
13. M. Schröter, S. Ulrich, J. Kreft, J. B. Swift, and H. L. Swinney, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.74.011307 74, 011307 (2006).
14. R. D. Wildman and D. J. Parker, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.064301 88, 064301 (2002);
15. K. Feitosa and N. Menon, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.198301 88, 198301 (2002).
16. J. T. Jenkins and F. Mancini, Phys. Fluids A PFADEB 0899-8213 10.1063/1.857479 1, 2050 (1989);
17. P. Zamankhan, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.52.4877 52, 4877 (1995);
18. B. Arnarson and J. T. Willits, Phys. Fluids PHFLE6 1070-6631 10.1063/1.869658 10, 1324 (1998);
19. J. T. Willits and B. Arnarson, Phys. Fluids PHFLE6 1070-6631 10.1063/1.870169 11, 3116 (1999);
20. D. Serero, I. Goldhirsch, S. H. Noskowicz, and M.-L. Tan, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112006009281 554, 237 (2006).
21. V. Garzó and J. W. Dufty, Phys. Fluids PHFLE6 1070-6631 10.1063/1.1458007 14, 1476 (2002).
22. V. Garzó and J. M. Montanero, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.69.021301 69, 021301 (2004).
23. J. J. Brey, M. J. Ruiz-Montero, D. Cubero, and R. García-Rojo, Phys. Fluids PHFLE6 1070-6631 10.1063/1.870342 12, 876 (2000).
24. J. M. Montanero and V. Garzó, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.67.021308 67, 021308 (2003).
25. A. Santos, V. Garzó, and J. W. Dufty, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.69.061303 69, 061303 (2004).
26. A. Santos and A. Astillero, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.72.031308 72, 031308 (2005).
27. V. Garzó, J. M. Montanero, and J. W. Dufty, Phys. Fluids PHFLE6 1070-6631 10.1063/1.2336755 18, 083305 (2006).
28. T. P. C. van Noije and M. H. Ernst, Granular Matter GRMAFE 1434-5021 10.1007/s100350050009 1, 57 (1998).
29. See http://www.unex.es/eweb/fisteor/vicente/granular_files.html/
30. V. Garzó and J. M. Montanero, e-print arXiv:cond-mat/0604552, J. Stat. Phys. JSTPBS 0022-4715 (to be published).
31. A. Astillero and A. Santos, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.72.031309 72, 031309 (2005).
32. V. Garzó and A. Santos, Kinetic Theory of Gases in Shear Flows. Nonlinear Transport (Kluwer Academic, Dordrecht, 2003).
33. P. L. Bhatnagar, E. P. Gross, and M. Krook, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.94.511 94, 511 (1954).
34. P. Welander, Ark. Fys. AFYSA7 0365-2440 7, 507 (1954).
35. J. J. Brey, F. Moreno, and J. W. Dufty, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.54.445 54, 445 (1996).
36. J. J. Brey, J. W. Dufty, and A. Santos, J. Stat. Phys. JSTPBS 0022-4715 10.1023/A:1004675320309 97, 281 (1999).
37. J. W. Dufty, A. Baskaran, and L. Zogaib, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.69.051301 69, 051301 (2004).
38. E. P. Gross and M. Krook, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.102.593 102, 593 (1956).
39. V. Garzó, A. Santos, and J. J. Brey, Phys. Fluids A PFADEB 0899-8213 10.1063/1.857458 1, 380 (1989).
40. P. Andries, K. Aoki, and B. Perthame, J. Stat. Phys. JSTPBS 0022-4715 10.1023/A:1014033703134 106, 993 (2002).