Secondary instabilities of hexagonal patterns in a Bénard-Marangoni convection experiment

Physical Review Letters

Volumn 93, Issue 12, 2004, Pages

  Semwogerere, Denis ^a   Schatz, Michael F ^a  

^a GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BOUNDARY LAYERS; BUOYANCY; DENSITY (SPECIFIC GRAVITY); DIFFUSION; FLOW OF FLUIDS; PERTURBATION TECHNIQUES; SURFACE TENSION; THERMAL CONDUCTIVITY; VISCOSITY;

KINEMATIC VISCOSITY; PERIODIC PATTERNS; SECONDARY INSTABILITIES; WAVE NUMBERS;

HEAT CONVECTION;

EID: 19644363782     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevLett.93.124502     Document Type: Article

References (23)

1. L. Rayleigh, Philos. Mag. 32, 529 (1916).
2. A. M. Turing, Philos. Trans. R. Soc. London B 237, 37 (1952).
3. E. Dubois-Violette, G. Durand, E. Guyon, P. Manneville, and P. Pieranski, in Liquid Crystals, Solid State Physics, Supplement No. 14, edited by L. Liebert (Academic Press, New York, 1978), p. 147.
4. R. C. DiPrima and H. L. Swinney, in Hydrodynamic Instabilities and the Transition to Turbulence, edited by H. L. Swinney and J. P. Gollub (Springer-Verlag, New York, 1981), p. 139.
5. M. M. Chen and J. A Whitehead, J. Fluid Mech. 31, 1 (1968); F. H. Busse and J. A Whitehead, J. Fluid Mech. 47, 305 (1971).
6. M. M. Chen and J. A Whitehead, J. Fluid Mech. 31, 1 (1968); F. H. Busse and J. A Whitehead, J. Fluid Mech. 47, 305 (1971).
7. J. R. de Bruyn, C. Bizon, M. D. Shattuck, D. Goldman, J. B. Swift, and H. L. Swinney, Phys. Rev. Lett. 81, 1421 (1998).
8. S. Nasuno and S. Kai, Europhys. Lett 14, 779 (1991).
9. J. Plumecoq, C. Szwaj, D. Derozier, M. Lefranc, and S. Bielawski, Phys. Rev. A, 64, 061801 (2001).
10. H. Bénard, Rev. Gen. Sci. Pure Appl., 11, 1261 (1900).
11. M. Bestehorn, Phys. Rev. E, 48, 3622 (1993).
12. Q. Ouyang and H. Swinney, Nature (London) 352, 610 (1991).
13. R. Neubecker and E. Benkler, Phys. Rev. E, 65, 66206 (2002).
14. B. Caroli, C. Caroli, and B. Roulet, J. Cryst. Growth 68, 677 (1984).
15. P. B. Umbanhowar, F. Melo, and H. L. Swinney, Physica (Amsterdam) 249A, 1 (1998).
16. B. Echebarria and C. Pérez-Garciá, Europhys. Lett. 43, 35 (1998).
17. Y.-N. Young and H. Riecke, Physica (Amsterdam) 163D, 166 (2002).
18. J.R de Bruyn, E. Bodenschatz, S.W. Morris, S. P. Trainoff, Y. Hu, D. S. Cannell, and G. Ahlers, Rev. Sci. Instrum. 67, 2043 (1996).
19. T. Tam, D. Ohata, and M. Wu, Phys. Rev. E 61, 9(R) (2000).
20. David A Egolf, Ilarion V. Melnikov, and Eberhard Bodenschatz, Phys. Rev. Lett. 80, 3228 (1997).
21. S. Ciliberto, P. Coullet, J. Lega, E. Pampaloni, and C. Pérez-García, Phys. Rev. Lett. 65, 2370 (1990).
22. D. Semwogerere and M. F. Schatz, Phys. Rev. Lett. 88, 054501 (2002).
23. M. M Sushchik and L. S. Tsimring, Physica (Amsterdam) 74D, 90 (1994).