%0 Journal Article
%T Axisymmetry Breaking to Travelling Waves in the Cylinder with Partially Heated Sidewall
%A MA Dong-Jun
%A SUN De-Jun
%A YIN Xie-Yuan
%A <br>马东军
%A 孙德军
%A 尹协远
%J 中国物理快报
%D 2006
%I 
%X The transition from an axisymmetric stationary flow to three-dimensional time-dependent flows is carefully studied in a vertical cylinder partially heated from the side, with the aspect ratio A=2 and Prandtl number P4=0.021. The flow develops from the steady toroidal pattern beyond the first instability threshold, breaks the axisymmetric state at a Rayleigh number near 2000, and transits to standing or travelling azimuthal waves. A new result is observed that a slightly unstable flow pattern of standing waves exists and will transit to stable travelling waves after a long time evolution. The onset of oscillations is associated with a supercritical Hopf bifurcation in a system with O(2) symmetry.
%K 44
%K 25
%K +f
%K 47
%K 27
%K Te
%K 47
%K 20
%K Ky<br>行波
%K 柱面
%K 热边墙
%K 不稳定性
%K 雷利数
%K 晶体学
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=E27DA92E19FE279A273627875A70D74D&aid=12C1BE182EEEEC1E44ADBEC79229022D&yid=37904DC365DD7266&vid=EA389574707BDED3&iid=B31275AF3241DB2D&sid=6F185A924223F19E&eid=F53B1922DFC7BC64&journal_id=0256-307X&journal_name=中国物理快报&referenced_num=0&reference_num=16