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Prog. Theor. Phys. Vol. 106 No. 3 (2001) pp. 503-512
Fully-Developed Traveling Wave Convection in Binary Fluid Mixtures with Lateral Flow
Lizhong Ning,1,2
Yoshifumi Harada,3
Hideo Yahata4 and
Jianzhong Li1
1Institute of Hydraulic Engineering, Xian University of Technology
South Jinhua Road, Xian 710048, China
2Department of Engineering, NITTO CO. LTD, Ikebukuro 2-77-5, Toushima-ku
Tokyo 171-0014, Japan
3Department of Applied Physics, Faculty of Engineering, Fukui University
Fukui 910-0017, Japan
4Department of Materials Science, Faculty of Science, Hiroshima University
Higashi-Hiroshima 739-8526, Japan
(Received November 8, 2000)
Abstract:
In this paper we focus on the behavior of fully developed traveling wave
convection in a rectangular channel (Γx = 2, ψ= -0.11) with lateral flow.
We first derive the perturbation equations for fully developed traveling wave convection with lateral flow.
Then we numerically solve these equations under laterally periodic boundary conditions using the MAC method.
The result shows that the amplitude of the convection rolls decreases and the phase velocity increases significantly as the intensity of lateral flow, Re, is increased.
The upper branch of the bifurcation curves is similar to that for Rayleigh-Bénard convection in binary fluid mixtures, but stationary overturning convection (SOC)
along the upper branch is not found. The bifurcation properties, including the
onset of convection and the saddle point, depend on the lateral flow.
URL :
http://ptp.ipap.jp/link?PTP/106/503/
DOI : 10.1143/PTP.106.503
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