%0 Journal Article
%T Nonlinear characteristics of hydrodynamic instability in a precessing cylinder<br>进动圆筒内液体流动不稳定的非线性特征
%A Li Lei
%A Ren Yejun
%A Cai Bin
%A Wang Zhaolin
%A <br>李磊
%A 任业军
%A 蔡斌
%A 王兆林
%J 力学学报
%D 2005
%I 
%X Based on governing equations of liquid deviated flow in a precessing liquid-filled cylinder,thebifurcation equation in functional space is derived by the linear solutions of liquid inertial wave and axialsecondary flow and linear stability analysis of steady secondary flow.Then,the Navier-Stokes equations ofliquid flow under non-inertial coordinates are directly solved by numerical methods.When inertial wave breaksdown,numerical solutions can also be obtained to reproduce three types resonant breakdown phenomena atprimary mode observed in experiments.The nonlinear time series of average pressure by numerical solutionsof inertial wave's breakdown are analyzed.Some nonlinear characteristics of hydrodynamic instability can bederived by foregoing analysis.
%K inertial wave
%K axial secondary flow
%K symmetry-breaking bifurcation
%K precessing resonant instability
%K analysis of time series<br>惯性波
%K 轴向二次流动
%K 对称破缺分岔
%K 进动共振失稳
%K 时间序列
%K 自旋充液系统
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=5D344E2AD54D14F8&jid=4100DA4A1A3BA1B0CE5AD99AE1DFB420&aid=D406704A2B44D4CD&yid=2DD7160C83D0ACED&vid=42425781F0B1C26E&iid=CA4FD0336C81A37A&sid=0401E2DB1F51F8DE&eid=AA76E167F386B6B3&journal_id=0459-1879&journal_name=力学学报&referenced_num=0&reference_num=19