Different localized states of travelling-wave convection in a rectangular container
Li Guo-Dong(李国栋)a)† and Huang Yong-Nian(黄永念)b)
a Institute of Water Resources and Hydro-electric Engineering, Xi'an University of Technology, Xi'an 710048, China; b State Key Laboratory for Studies of Turbulence and Complex Systems, Peking University, Beijing 100871, China
Abstract We have performed numerical simulations of localized travelling-wave convection in a binary fluid mixture heated from below in a long rectangular container. Calculations are carried out in a vertical cross section of the rolls perpendicular to their axes. For a negative enough separation ratio, two types of quite different confined states were documented by applying different control processes. One branch of localized travelling waves survives only in a very narrow band within subcritical regime, while another branch straddles the onset of convection existing both in subcritical and supercritical regions. We elucidated that concentration field and its current are key to understand how confined convection is sustained when conductive state is absolutely unstable. The weak structures in the conducting region are demonstrated too.
Received: 01 December 2005
Revised: 13 July 2006
Accepted manuscript online:
Fund: Project Supported by the Scientific Research Foundation for the Returned Overseas Chinese Scholars, Ministry of Education of China, and the Special Foundation for State Major Basic Research Program of China (Grant No G20000773).
Cite this article:
Li Guo-Dong(李国栋) and Huang Yong-Nian(黄永念) Different localized states of travelling-wave convection in a rectangular container 2006 Chinese Physics 15 2984
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