Targeted mixing in an array of alternating vortices

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

Volumn 76, Issue 4, 2007, Pages

  Bachelard, R ^a   Benzekri, T ^a,b   Chandre, C ^a   Leoncini, X ^a,c   Vittot, M ^a  

^a CENTRE DE PHYSIQUE THÉORIQUE   (France)

^b UNIVERSITY OF SCIENCES AND TECHNOLOGY HOUARI BOUMEDIENE   (Algeria)

^c AIX MARSEILLE UNIVERSITÉ   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ADVECTION; BOUNDARY CONDITIONS; CHAOTIC SYSTEMS; PERTURBATION TECHNIQUES; ROBUSTNESS (CONTROL SYSTEMS);

ALTERNATING VORTICES; CHAOTIC ADVECTION; MIXING PROPERTIES; OPTIMAL MIXING; PASSIVE PARTICLES;

VORTEX FLOW;

EID: 35448980706     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.76.046217     Document Type: Article

References (46)

1. H. Aref, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112084001233 143, 1 (1984).
2. H. Aref, Philos. Trans. R. Soc. London, Ser. A PTRMAD 0962-8428 10.1098/rsta.1990.0161 333, 273 (1990).
3. J. Ottino, The Kinematics of Mixing: Streching, Chaos, and Transport (Cambridge University Press, Cambridge, 1989).
4. J. Ottino, Annu. Rev. Fluid Mech. ARVFA3 0066-4189 10.1146/annurev.fluid. 22.1.207 22, 207 (1990).
5. G. M. Zaslavsky, R. Z. Sagdeev, D. A. Usikov, and A. A. Chernikov, Weak Chaos and Quasiregular Patterns (Cambridge University Press, Cambridge, 1991).
6. A. Crisanti, M. Falcioni, G. Paladin, and A. Vulpiani, Riv. Nuovo Cimento RNUCAC 0035-5917 10.1007/BF02509252 14, 1 (1991).
7. A. B. Rechester and R. B. White, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.44.1586 44, 1586 (1980).
8. T. H. Solomon, E. R. Weeks, and H. L. Swinney, Physica D PDNPDT 0167-2789 10.1016/0167-2789(94)90251-8 76, 70 (1994).
9. X. Leoncini, O. Agullo, S. Benkadda, and G. M. Zaslavsky, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.72.026218 72, 026218 (2005).
10. G. M. Zaslavsky, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(02)00331- 9 371, 641 (2002).
11. M. G. Brown and K. B. Smith, Phys. Fluids A PFADEB 0899-8213 10.1063/1.858047 3, 1186 (1991).
12. R. Behringer, S. Meyers, and H. Swinney, Phys. Fluids A PFADEB 0899-8213 10.1063/1.858052 3, 1243 (1991).
13. A. A. Chernikov, B. A. Petrovichev, A. V. Rogalâsky, R. Z. Sagdeev, and G. M. Zaslavsky, Phys. Lett. A PYLAAG 0375-9601 10.1016/0375-9601(90)90687- J 144, 127 (1990).
14. F. Dupont, R. I. McLachlan, and V. Zeitlin, Phys. Fluids PHFLE6 1070-6631 10.1063/1.869845 10, 3185 (1998).
15. A. Crisanti, M. Falcioni, A. Provenzale, P. Tanga, and A. Vulpiani, Phys. Fluids A PFADEB 0899-8213 10.1063/1.858402 4, 1805 (1992).
16. B. A. Carreras, V. E. Lynch, L. Garcia, M. Edelman, and G. M. Zaslavsky, Chaos CHAOEH 1054-1500 10.1063/1.1606611 13, 1175 (2003).
17. S. V. Annibaldi, G. Manfredi, R. O. Dendy, and L. O. Drury, Plasma Phys. Controlled Fusion PPCFET 0741-3335 10.1088/0741-3335/42/4/102 42, L13 (2000).
18. D. del Castillo-Negrete, B. A. Carreras, and V. E. Lynch, Phys. Plasmas PHPAEN 1070-664X 10.1063/1.1767097 11, 3854 (2004).
19. S. Balasuriya, Physica D PDNPDT 0167-2789 10.1016/j.physd.2004.11.018 202, 155 (2005).
20. A. Stroock, S. Dertinger, A. Ajdari, I. Mezic, H. Stone, and G. Whitesides, Science SCIEAS 0036-8075 10.1126/science.1066238 295, 647 (2002).
21. T. H. Solomon and J. P. Gollub, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.38.6280 38, 6280 (1988).
22. T. Solomon, N. Miller, C. Spohn, and J. Moeur, AIP Conf. Proc. APCPCS 0094-243X 10.1063/1.1612213 676, 195 (2003).
23. H. Willaime, O. Cardoso, and P. Tabeling, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.48.288 48, 288 (1993).
24. R. Camassa and S. Wiggins, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.43.774 43, 774 (1991).
25. L. Kuznetsov and G. M. Zaslavsky, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.61.3777 61, 3777 (2000).
26. X. Leoncini, L. Kuznetsov, and G. M. Zaslavsky, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.63.036224 63, 036224 (2001).
27. D. L. Vainchtein, J. Widloski, and R. O. Grigoriev, Phys. Fluids PHFLE6 1070-6631 10.1063/1.2738846 19, 067102 (2007).
28. E. Villermaux and J. Duplat, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.184501 91, 184501 (2003).
29. P. Castiglione, A. Mazzino, P. Mutatore-Ginanneschi, and A. Vulpiani, Physica D PDNPDT 0167-2789 10.1016/S0167-2789(99)00031-7 134, 75 (1999).
30. M. S. Paoletti, C. R. Nugent, and T. H. Solomon, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.124101 96, 124101 (2006).
31. C. Chandre, G. Ciraolo, F. Doveil, R. Lima, A. Macor, and M. Vittot, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.074101 94, 074101 (2005).
32. R. Bachelard, C. Chandre, and X. Leoncini, Chaos CHAOEH 1054-1500 10.1063/1.2189157 16, 023104 (2006).
33. T. Benzekri, C. Chandre, X. Leoncini, R. Lima, and M. Vittot, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.124503 96, 124503 (2006).
34. M. Cencini, A. Torcini, D. Vergni, and A. Vulpiani, Phys. Fluids PHFLE6 1070-6631 10.1063/1.1541668 15, 679 (2003).
35. M. S. Paoletti and T. H. Solomon, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2004-10409-9 69, 819 (2005).
36. M. S. Paoletti and T. H. Solomon, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.72.046204 72, 046204 (2005).
37. S. Berti, D. Vergni, F. Visconti, and A. Vulpiani, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.72.036302 72, 036302 (2005).
38. A. Pocheau and F. Harambat, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.73.065304 73, 065304 (R) (2006).
39. P. CvitanoviÄ, R. Artuso, R. Mainieri, G. Tanner, and G. Vattay, Chaos: Classical and Quantum (Niels Bohr Institute, Copenhagen, 2005).
40. R. S. MacKay, Nonlinearity NONLE5 0951-7715 10.1088/0951-7715/5/1/007 5, 161 (1992).
41. J. M. Greene, Phys. Fluids PFLDAS 0031-9171 20, 1183 (1979).
42. J. R. Cary and J. D. Hanson, Phys. Fluids PFLDAS 0031-9171 10.1063/1.865539 29, 2464 (1986).
43. S. Wiggins, Chaotic Transport In Dynamical Systems (Springer-Verlag, Berlin, 1992).
44. N. Haydn, E. Lunedei, L. Rossi, G. Turchetti, and S. Vaienti, Chaos CHAOEH 1054-1500 10.1063/1.2005507 15, 033109 (2005).
45. S. Chandrasekhar, Hydrodynamics and Hydrodynamic Stability (Dover, New York, 1961).
46. T. Solomon and I. Mezic, Nature (London) NATUAS 0028-0836 10.1038/nature01993 425, 376 (2003).