COHERENT STRUCTURES IN COUNTERCURRNET AXISYMMETRIC SHEAR FLOWS力学学报：英文版论文
【题名】：COHERENT STRUCTURES IN COUNTERCURRNET AXISYMMETRIC SHEAR FLOWS力学学报：英文版论文(COHERENT STRUCTURES IN COUNTERCURRNET AXISYMMETRIC SHEAR FLOWSLiXueXueBao：YingWenBanLunWen) 【关键词】：逆对称 剪切层 流体力学 动力学 分歧 一致性结构 三维重流 涡流 轴对称结构 速率 【keywords】：NiDuiCheng JianQieCeng LiuTiLiXue DongLiXue FenQi YiZhiXingJieGou SanWeiZhongLiu WoLiu ZhouDuiChengJieGou SuLv 【作者】：谢锡麟,麻伟巍,周慧良,      【来源】： 知识词典 【期刊名称】：力学学报：英文版(LiXueXueBao：YingWenBan) 【国际标准刊号】：0567-7718        【国内统一刊号】：11-2063 【作者单位】：[1]DepartmentofMechanics&EngineeringScience,FudanUniversity,SHanghai200433,China [2]DepartmentofBasicScience,EastChinaUniversity,Shanghai200051,China([1]DepartmentofMechanics&EngineeringScience,FudanUniversity,SHanghai200433,China [2]DepartmentofBasicScience,EastChinaUniversity,Shanghai200051,China) 【分类号】：O35      【页码】：-11-32      【出版年】：2003.1 【下载地址】：下载pdf全文         The dynamical behaviors of coherent structures in countercurrent axisymmetric shear flows are experimentally studied.The forward velocity U1 and the velocity ratio R=(U1-U2)/(U1+U2),where U2 denotes the suction velocity,are consldered as the control parameters.Two kinds of vortex structures,i.e.,axisymmetric and helical structures,were discovered with respect to different reginmes in the R versus U1 diagram .In the case of U1 rangjing from 3 to 20m/s and R from 1 to 3,the axisymmetric structures plan an important role.Based on the dynamical behaviors of axisymmetric structures,a critical forward velocity U1cr=6.8m/s was defined,subsequently,the subcritical velocity regime:U1>U1cr and the supercritical velocity regime:U14m/s),correspondingly,the spatial evolution of the temporal asymptotic behavior of a dynamical system can be described as follows:(1) Hopt bifurcation,(5) chaos("weak turbulence")in the case of U1<4m/s(superharmonic bifurcation does not exist when U1>4m/s).The proposed new terms,superharmonic and reversed superbarmonic bifurcations,are characterized of the frequency doubling rather than the period doubling.A kind of unfamiliar vortices referred to as the helical structure was discovered experimentally when the forward velocity around 2m/s and the velocity range from 1.1 to 2.3,There are two base frequencies contained in the flow system and they could coexist as indicated by the Wigner-Ville-Distribution and the temporal asymptotic behavior of the dynamical system corresponding to the helical vortex could be described as 2-torus as indicted by the 3D reconstructed phase trajectory and correlation dimension.The scenario of the spatial evolution of helical structures could be described as follows:the jet column is separated into two parts at a certain spatial location and they entangle each other to form the helical vortex until the occurrence of those separated jet columns to reconnect further downstream with the result that the flow system evolves into turbulence in a catastrophic form.Correspondingly,the dynamical system evolves directly into 2-tiorus through the supercritical Hopf bifurcation followed by a transition from a quasi-periodic attractor to a strange attractor.In the case of U1=2m/s,the parametric evolution of the temporal asymptotic behavior of the dynamical system as the velocity ratio increases from 1 to 3 could be described as follows:(1)2-torus(Hopf bifurcation),(2) limit cycle(reversed Hopf bifurcation),(3) strange attractor (subbarmonic bifurcation).
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