Spatiotemporal dynamics near the onset of convection for binary mixtures in cylindrical containers

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

Volumn 77, Issue 3, 2008, Pages

  Mercader, Isabel ^a   Alonso, Arantxa ^a   Batiste, Oriol ^a  

^a UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; HEAT CONVECTION; HOPF BIFURCATION; MOLECULAR DYNAMICS; THREE DIMENSIONAL;

BINARY FLUID CONVECTION; CYLINDRICAL CONTAINERS; SPATIOTEMPORAL DYNAMICS; WATER-ETHANOL MIXTURES;

BINARY MIXTURES;

EID: 41549119043     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.77.036313     Document Type: Article

References (37)

1. D. R. Ohlsen, S. Y. Yamamoto, C. M. Surko, and P. Kolodner, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.65.1431 65, 1431 (1990).
2. P. Kolodner, J. A. Glazier, and H. Williams, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.65.1579 65, 1579 (1990).
3. P. Kolodner, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.46.R1739 46, R1739 (1992).
4. P. Kolodner, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.50.2731 50, 2731 (1994).
5. P. Kolodner, S. Slimani, N. Aubry, and R. Lima, Physica D PDNPDT 0167-2789 10.1016/0167-2789(95)00061-8 85, 165 (1995).
6. W. Barten, M. Lücke, M. Kamps, and R. Schmitz, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.51.5636 51, 5636 (1995).
7. W. Barten, M. Lücke, M. Kamps, and R. Schmitz, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.51.5662 51, 5662 (1995).
8. M. Lücke, W. Barten, P. Büchel, C. Fütterer, St. Hollinger, and Ch. Jung, in Evolution of Spontaneous Structures in Dissipative Continuous Systems, edited by, F. H. Busse, and, S. C. Müller, (Springer-Verlag, Berlin, 1998), p. 127.
9. D. Jung and M. Lücke, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.054502 89, 054502 (2002).
10. D. Jung and M. Lücke, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.72.026307 72, 026307 (2005).
11. O. Batiste, M. Net, I. Mercader, and E. Knobloch, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.2309 86, 2309 (2001).
12. I. Mercader, A. Alonso, and O. Batiste, Eur. Phys. J. E EPJSFH 1292-8941 10.1140/epje/i2004-10071-7 15, 311 (2004).
13. O. Batiste, E. Knobloch, A. Alonso, and I. Mercader, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112006000759 560, 149 (2006).
14. A. Alonso, O. Batiste, A. Meseguer, and I. Mercader, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.75.026310 75, 026310 (2007).
15. A. Alonso, O. Batiste, and I. Mercader, Eur. Phys. J. Spec. Top. 146, 261 (2007).
16. K. Lerman, E. Bodenschatz, D. S. Cannell, and G. Ahlers, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.70.3572 70, 3572 (1993).
17. K. Lerman, G. Ahlers, and D. S. Cannell, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.53.R2041 53, R2041 (1996).
18. K. Lerman, D. S. Cannell, and G. Ahlers, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.59.2975 59, 2975 (1999).
19. A. La Porta and C. M. Surko, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.53.5916 53, 5916 (1996).
20. Ch. Jung, B. Huke, and M. Lücke, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.3651 81, 3651 (1998).
21. I. Mercader, M. Net, and E. Knobloch, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.51.339 51, 339 (1995).
22. E. Millour, G. Labrosse, and E. Tric, Phys. Fluids 17, 044102 (2005). 1070-6631
23. S. Rüdiger and F. Feudel, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.62.4927 62, 4927 (2000).
24. S. S. Leong, Numer. Heat Transf. 41, 673 (2002). 1040-7782
25. K. Borońska and L. S. Tuckerman, J. Fluid Mech. 559, 279 (2006). 0022-1120
26. J. D. Scheel, M. R. Paul, M. C. Cross, and P. F. Fischer, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.68.066216 68, 066216 (2003).
27. J. J. Sánchez-Alvarez, E. Serre, E. Crespo del Arco, and F. H. Busse, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.72.036307 72, 036307 (2005).
28. N. Becker, J. D. Scheel, M. C. Cross, and G. Ahlers, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.73.066309 73, 066309 (2006).
29. F. Marqués, I. Mercader, O. Batiste, and J. López, J. Fluid Mech. 580, 303 (2007). 0022-1120
30. J. López, F. Marqués, I. Mercader, and O. Batiste, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112007008038 590, 187 (2007).
31. I. Mercader, O. Batiste, and A. Alonso, J. Phys. Conf. Ser. 14, 206 (2005).
32. C. M. Aegerter and C. M. Surko, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.63.046301 63, 046301 (2001).
33. G. E. Karniadakis, M. Israeli, and S. A. Orszag, J. Comput. Phys. JCTPAH 0021-9991 10.1016/0021-9991(91)90007-8 97, 414 (1991).
34. B. Fornberg, A Practical Guide to Pseudospectral Methods (Cambridge University Press, Cambridge, U.K., 1998).
35. I. Mercader, M. Net, and A. Falques, Comput. Methods Appl. Mech. Eng. CMMECC 0045-7825 10.1016/0045-7825(91)90076-I 91, 1245 (1991).
36. P. Le Gal, A. Pocheau, and V. Croquette, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.54.2501 54, 2501 (1985).
37. K. M. S. Bajaj, G. Ahlers, and W. Pesch, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.65.056309 65, 056309 (2002).