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Prog. Theor. Phys. Vol. 98 No. 3 (1997) pp. 551-566

[ Full Text PDF : FREE ACCESS (926K) ]

Formation Process of the Traveling-Wave State with a Defect in Binary Fluid Convection

Lizhong Ning, Yoshifumi Harada and Hideo Yahata*

Department of Applied Physics, Faculty of Engineering
Fukui University, Fukui 910
*Department of Materials Science, Faculty of Science
Hiroshima University, Higashi-Hiroshima 739

(Received September 9, 1996)

Abstract:

We give results of simulations on the transient evolution from conduction to an extended traveling wave (ETW) state containing a sink defect slightly above the onset of the subcritical instability for a binary fluid mixture with the separation ratio ψ= -0.47 confined in a rectangular cell of aspect ratio Γ= 46. The simulation was performed using the two-dimensional full fluid equations of motion. We find that the system starting from a conduction state first experiences a linear stage with independently counterpropagating wave (CPW) packets and then develops a modulated traveling wave (MTW) and a traveling wave (TW) containing transient sink and source defects. It then ultimately evolves into a TW with a stable sink defect similar to those observed in experiments. For our parameters, the system evolves into the nonlinear regime as the lateral concentration profile becomes a trapezoidal, strongly non-harmonic shape in the localized regions. Comparisons with other calculations and experiments are presented.


URL : http://ptp.ipap.jp/link?PTP/98/551/
DOI : 10.1143/PTP.98.551

[ Full Text PDF : FREE ACCESS (926K) ] Citation:

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Citing Article(s) :

  1. 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

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