%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
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
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