Heise M, Hochstrate K, Abshagen J, Pfister G
Institute of Experimental and Applied Physics, University of Kiel, Kiel, Germany.
Phys Rev E Stat Nonlin Soft Matter Phys. 2009 Oct;80(4 Pt 2):045301. doi: 10.1103/PhysRevE.80.045301. Epub 2009 Oct 8.
A Hopf bifurcation with translational invariance has been widely considered as an appropriate model for the appearance of spiral vortices in counter-rotating Taylor-Couette flow. Our experimental work demonstrates that flow conditions close to the axial boundaries are responsible for the type of bifurcation scenario, i.e., either asymmetric pure traveling waves or more complex behavior, such as defect states or symmetric mixed states appearing from a Hopf bifurcation. The measurements were performed in the first Taylor-Couette experiment with independently rotating endwalls confining the system in axial direction. The rotation rate of the (synchronous) endwalls is found to be an essential control parameter for the spatial amplitude distribution of the traveling waves and also reflects symmetry of the corresponding flow pattern appearing from the Hopf bifurcation.
具有平移不变性的霍普夫分岔已被广泛认为是反向旋转泰勒-库埃特流中螺旋涡旋出现的合适模型。我们的实验工作表明，靠近轴向边界的流动条件决定了分岔情形的类型，即要么是不对称纯行波，要么是更复杂的行为，比如从霍普夫分岔出现的缺陷态或对称混合态。这些测量是在首个泰勒-库埃特实验中进行的，该实验中轴向限制系统的端壁是独立旋转的。发现（同步）端壁的旋转速率是行波空间振幅分布的一个关键控制参数，并且也反映了从霍普夫分岔出现的相应流动模式的对称性。
