Stability boundaries of roll and square convection in binary fluid mixtures with positive separation ratio

Journal of Fluid Mechanics

Volumn 408, Issue , 2000, Pages 121-147

  Huke, B ^a   Lucke M ^a   Buchel P ^a   Jung, Ch ^a  

^a SAARLAND UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

CONVECTION; MIXTURE; STABILITY;

EID: 2542507922     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112099007648     Document Type: Article

References (26)

1. BOLTON, E. W., BUSSE, F. H. & CLEVER, R. M. 1985 Oscillatory instabilities of convection rolls at intermediate Prandtl numbers. J. Fluid Mech. 164, 469.
2. BUSSE, F. H. 1967 On the stability of two-dimensional convection in a layer heated from below. J. Maths Phys. 46, 140.
3. BUSSE, F. H. 1978 Non-linear properties of thermal convection. Rep. Prog. Phys. 41, 1929.
4. CAKMUR, R. V., EGOLF, D. A., PLAPP, B. B. & BODENSCHATZ, E. 1997 Bistability and competition of spatiotemporal chaotic and fixed point attractors in Rayleigh-Bénard convection. Phys. Rev. Lett. 79, 1853.
5. CHANDRASEKHAR, S. 1981 Hvdrodynamic and Hydromagnetic Stability. Dover.
6. CLEVER, R. M. & BUSSE, F. H. 1989 Three-dimensional knot convection in a layer heated from below. J. Fluid Mech. 198, 345.
7. CLEVER, R. M. & BUSSE, F. H. 1990 Convection at very low Prandtl numbers. Phys. Fluids A 2, 334.
8. CLEVER, R. M. & BUSSE, F. H. 1991 Instabilities of longitudinal rolls in the presence of Poiseuille flow. J. Fluid Mech. 229, 517.
9. CLUNE, T. & KNOBLOCH, E. 1991 Square pattern convection in binary fluids with realistic boundary conditions. Phys. Rev. A 44, 8084.
10. CLUNE, T. & KNOBLOCH, E. 1992 Mean flow suppression by endwalls in oscillatory binary fluid convection. Physica D 61, 106.
11. CROSS. M. C. & HOHENBERG, P. C. 1993 Pattern formation outside of equilibrium. Rev. Mod. Phys. 49, 581.
12. HOLLINGER, ST. 1996 Theorie der ausgedehnten stationären und wandernden Konvektion in binären Fluidmischungen. PhD thesis, Universität des Saarlandes, Saarbrücken.
13. HOLLINGER, ST. & LÜCKE, M. 1995 Influence of the Dufour effect on convection in binary gas mixtures. Phys. Rev. E 52, 642.
14. HOLLINGER, ST. & LÜCKE, M. 1998 Influence of the Soret effect on convection of binary fluids. Phys. Rev. E 57, 4238.
15. HORT, W., LINZ, S. J. & LÜCKE, M. 1992 Onset of convection in binary gas mixtures: Role of the Dufour effect. Phys. Rev. A 45, 3737.
16. HOYLE, R. B. 1993 Long wavelength instabilities of square patterns. Physica D 67, 198.
17. JUNG, CH., HUKE, B. & LÜCKE, M. 1998 Subharmonic bifurcation cascade of pattern oscillations caused by winding number increasing entrainment. Phys. Rev. Lett. 81, 3651.
18. KNOBLOCH, E. & MOORE, D. R. 1988 Linear stability of experimental Soret convection. Phys. Rev. A 37, 860.
19. LANDAU, L. D. & LIFSHITZ, M. E. 1966 Hydrodynamik. Akademie-Verlag.
20. LIU, J. L. & AHLERS, G. 1996 Spiral-defect chaos in Rayleigh-Bénard convection with small Prandtl numbers. Phys. Rev. Lett. 77, 3126.
21. LIU, J. L. & AHLERS, G. 1997 Rayleigh-Bénard convection in binary gas mixtures: 1. Thermophysical properties and the onset of convection. Phys. Rev. E 55, 6950.
22. LÜCKE, M., BARTEN, W., BÜCHEL, P., FÜTTERER, C., HOLLINGER, ST. & JUNG, CH. 1998 Pattern formation in binary fluid convection and in systems with throughflow. In Evolution of Spontaneous Structures in Continuous Systems (ed. F. H. Busse & S. C. Müller). Lecture Notes in Physics vol. 55, p. 127. Springer.
23. MOORE, D. R., WEISS, N. O. & WILKINS, J. M. 1991 Asymmetric oscillations in thermosolutal convection. J. Fluid Mech. 233, 561.
24. MOSES, E. & STEINBERG, V. 1991 Stationary convection in a binary mixture. Phys. Rev. A 43, 707.
25. MÜLLER, H.-W. & LÜCKE, M. 1988 Competition between roll and square convection patterns in binary mixtures. Phys. Rev. A 38, 2965.
26. PLATTEN, J. K. & LEGROS, J. C. 1984 Convection in Liquids. Springer.