中国物理B ›› 2006, Vol. 15 ›› Issue (12): 2984-2988.doi: 10.1088/1009-1963/15/12/036

• CLASSICAL AREAS OF PHENOMENOLOGY • 上一篇    下一篇

Different localized states of travelling-wave convection in a rectangular container

李国栋1, 黄永念2   

  1. (1)Institute of Water Resources and Hydro-electric Engineering, Xi'an University of Technology, Xi'an 710048, China; (2)State Key Laboratory for Studies of Turbulence and Complex Systems, Peking University, Beijing 100871, China
  • 收稿日期:2005-12-01 修回日期:2006-07-13 出版日期:2006-12-20 发布日期:2006-12-20
  • 基金资助:
    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).

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)   

  1. 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
  • Received:2005-12-01 Revised:2006-07-13 Online:2006-12-20 Published:2006-12-20
  • Supported by:
    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).

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摘要： 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.

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.

Key words: binary fluid mixture, travelling-wave convection, localized states

中图分类号:  (Pattern selection; pattern formation)

  • 47.54.-r
47.11.-j (Computational methods in fluid dynamics) 47.35.-i (Hydrodynamic waves)