Prog. Theor. Phys. Vol. 85 No. 5 (1991) pp. 933-937

[ Full Text PDF : FREE ACCESS (342K) ]

Letters

Travelling Convection Rolls in a Binary Fluid Mixture

Hideo Yahata

Department of Materials Science, Faculty of Science,, Hiroshima University, Hiroshima 730

(Received January 28, 1991)

Abstract:

The Rayleigh- Bénard convection in a binary fluid mixture confined in a rectangular container is studied. The two-dimensional MAC scheme is used to simulate spatio-temporal evolution of the governing equations of motion. Convection develops defect-induced counter-propagating waves and eventually evolves into a localized travelling wave state.

URL : http://ptp.ipap.jp/link?PTP/85/933/
DOI : 10.1143/PTP.85.933

References:

R. W. Walden, P. Kolodner, A. Passner and C. M. Surko, Phys. Rev. Lett. 55 (1985), 496[APS].
E. Moses and V. Steinberg, Phys. Rev. A34 (1986), 693[APS].
E. Moses, J. Fineberg and V. Steinberg, Phys. Rev. A35 (1987), 2757[APS].
R. Heinrichs, G. Ahlers and D. S. Cannell, Phys. Rev. A35 (1987), 2761[APS].
P. Kolodner, D. Bensimon and C. M. Surko, Phys. Rev. Lett. 60 (1988), 1723[APS].
T. Katoh and Y. Sawada, J. Phys. Soc. Jpn. 58 (1989), 3879[JPSJ].
J. J. Niemela, G. Ahlers and D. S. Cannell, Phys. Rev. Lett. 64 (1990), 1365[APS].
O. Thual and S. Fauve, J. de Phys. 49 (1988), 1829.
D. Bensimon, B. I. Shraiman and V. Croquette, Phys. Rev. A38 (1988), 5461[APS].
M. C. Cross, Phys. Rev. Lett. 57 (1986), 2935[APS].
W. Barten, M. Lücke and M. Kamps, Preprint.
R. Peyret and T. D. Taylor, Computational Methods for Fluid Flow (Springer, 1983), p. 159.
P. Coullet, C. Elphick, J. Gil and J. Lega, Phys. Rev. Lett. 59 (1987), 884[APS].

Citing Article(s) :

Journal of the Physical Society of Japan 62 (1993) pp. 1202-1208 :
Convection Diffusion in Hexagonal Rayleigh-Bénard Cell

Osamu Sano
Progress of Theoretical Physics Vol. 96 No. 4 (1996) pp. 669-682 :
Localized Traveling Waves in Binary Fluid Convection

Lizhong Ning, Yoshifumi Harada and Hideo Yahata
Progress of Theoretical Physics Vol. 97 No. 6 (1997) pp. 831-848 :
Modulated Traveling Waves in Binary Fluid Convection in an Intermediate-Aspect-Ratio Rectangular Cell

Lizhong Ning, Yoshifumi Harada and Hideo Yahata
Progress of Theoretical Physics Vol. 98 No. 3 (1997) pp. 551-566 :
Formation Process of the Traveling-Wave State with a Defect in Binary Fluid Convection

Lizhong Ning, Yoshifumi Harada and Hideo Yahata
Progress of Theoretical Physics Vol. 106 No. 3 (2001) pp. 503-512 :
Fully-Developed Traveling Wave Convection in Binary Fluid Mixtures with Lateral Flow

Lizhong Ning, Yoshifumi Harada, Hideo Yahata and Jianzhong Li