Continuum description of finite-size particles advected by external flows: The effect of collisions

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

Volumn 69, Issue 4 2, 2004, Pages

  López, Cristóbal ^a   Puglisi, Andrea ^b  

^a UNIVERSITAT DE LES ILLES BALEARS   (Spain)

^b UNIVERSITÀ DI ROMA LA SAPIENZA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; CONFINED FLOW; CONTINUUM MECHANICS; DENSITY OF LIQUIDS; DIFFUSION; FINITE ELEMENT METHOD; GRAIN SIZE AND SHAPE; MATHEMATICAL MODELS; MONTE CARLO METHODS; NATURAL FREQUENCIES; PARTICLE SIZE ANALYSIS; PERTURBATION TECHNIQUES; RANDOM PROCESSES; VELOCITY MEASUREMENT;

CELLULAR FLOW; CONTINUUM EQUATION; DIRECT SIMULATION MONTE CARLO (DSMC) SIMULATIONS; ELASTIC COLLISIONS;

HYDRODYNAMICS;

EID: 42749107755     PISSN: 15393755     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (16)

1. T. Elperin, N. Kleeorin, and I. Rogachevskii, Phys. Rev. Lett. 77, 5373 (1996); E. Balkovsky, G. Falkovich, and A. Fouxon, ibid. 86, 2790 (2001); T. Nishikawa, Z. Toroczkai, C. Grebogi, and T. Tél, Phys. Rev. E 65, 026216 (2001); C. López, ibid. 66, 027202 (2002); I. J. Benczik, Z. Toroczkai, and T. Tél, ibid. 67, 036303 (2003).
2. T. Elperin, N. Kleeorin, and I. Rogachevskii, Phys. Rev. Lett. 77, 5373 (1996); E. Balkovsky, G. Falkovich, and A. Fouxon, ibid. 86, 2790 (2001); T. Nishikawa, Z. Toroczkai, C. Grebogi, and T. Tél, Phys. Rev. E 65, 026216 (2001); C. López, ibid. 66, 027202 (2002); I. J. Benczik, Z. Toroczkai, and T. Tél, ibid. 67, 036303 (2003).
3. T. Elperin, N. Kleeorin, and I. Rogachevskii, Phys. Rev. Lett. 77, 5373 (1996); E. Balkovsky, G. Falkovich, and A. Fouxon, ibid. 86, 2790 (2001); T. Nishikawa, Z. Toroczkai, C. Grebogi, and T. Tél, Phys. Rev. E 65, 026216 (2001); C. López, ibid. 66, 027202 (2002); I. J. Benczik, Z. Toroczkai, and T. Tél, ibid. 67, 036303 (2003).
4. T. Elperin, N. Kleeorin, and I. Rogachevskii, Phys. Rev. Lett. 77, 5373 (1996); E. Balkovsky, G. Falkovich, and A. Fouxon, ibid. 86, 2790 (2001); T. Nishikawa, Z. Toroczkai, C. Grebogi, and T. Tél, Phys. Rev. E 65, 026216 (2001); C. López, ibid. 66, 027202 (2002); I. J. Benczik, Z. Toroczkai, and T. Tél, ibid. 67, 036303 (2003).
5. T. Elperin, N. Kleeorin, and I. Rogachevskii, Phys. Rev. Lett. 77, 5373 (1996); E. Balkovsky, G. Falkovich, and A. Fouxon, ibid. 86, 2790 (2001); T. Nishikawa, Z. Toroczkai, C. Grebogi, and T. Tél, Phys. Rev. E 65, 026216 (2001); C. López, ibid. 66, 027202 (2002); I. J. Benczik, Z. Toroczkai, and T. Tél, ibid. 67, 036303 (2003).
6. G. Falkovich, A. Fouxon, and M. G. Stepanov, Nature (London) 419, 151 (2002).
7. C. López and A. Puglisi, Phys. Rev. E 67, 041302 (2003).
8. M. R. Maxey and J. J. Riley, Phys. Fluids 26, 883 (1983).
9. M. R. Maxey, J. Fluid Mech. 174, 441 (1987).
10. U. M.B. Marconi and P. Tarazona, J. Chem. Phys. 110, 8032 (1999).
11. D. S. Dean, J. Phys. A 29, L613 (1996).
12. y)]).
13. G. A. Bird, Molecular Gas Dynamics (Clarendon Press, Oxford, 1976).
14. T. H. Solomon and J. P. Gollub, Phys. Rev. A 38, 6280 (1988).
15. C. Cercignani, R. Illner, and P. Pulvirenti, The Mathematical Theory of Dilute Gases (Springer-Verlag, New York, 1994).
16. W. F. Carnahan and K. E. Starling, J. Chem. Phys. 51, 635 (1969).