FLOW REGIMES IN A CIRCULAR COUETTE SYSTEM WITH INDEPENDENTLY ROTATING CYLINDERS
FLOW REGIMES IN A CIRCULAR COUETTE SYSTEM WITH INDEPENDENTLY ROTATING CYLINDERS
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DOI：
10.1017/s0022112086002513
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发表时间：
1986-03-01
影响因子：
3.7
通讯作者：
SWINNEY, HL
中科院分区：
文献类型：
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作者：
ANDERECK, CD;LIU, SS;SWINNEY, HL
我们对同心独立旋转圆柱体之间流动的流动可视化和光谱研究揭示了令人惊讶的各种不同的流动状态。（所研究的系统半径比为0.883，长径比为20 ~ 48，端边界附着在外圆柱体上。）通过旋转和反射作用下的对称性、方位波数和轴向波数以及方位行波的旋转频率来区分不同的状态。状态之间的转换分别被确定为内、外圆柱体雷诺数Ri和Ro的函数。通过固定Ro和缓慢增加Ri来定位跃迁。观测到的状态包括泰勒涡、波浪涡、调制波状涡、波状流出边界涡、波状流入边界涡、平面边界涡和内波（扭曲）、层流螺旋、互穿螺旋、互穿螺旋上的波、螺旋湍流、具有间歇湍流斑的流动、湍流泰勒涡、无大规模特征的湍流以及这些流动的各种组合。其中一些流动状态以前没有被描述过，即使是那些以前被描述过的状态，目前的工作也提供了状态和它们之间转换的第一个连贯特征。这些流动状态对于微小的扰动都是稳定的，并且状态之间的过渡边界是可重复的。这些观察结果可以作为未来分析和数值研究的挑战和测试，并且转换图提供了几个可能的余维2分岔，值得进一步研究。
Our flow-visualization and spectral studies of flow between concentric independently rotating cylinders have revealed a surprisingly large variety of different flow states. (The system studied has radius ratio 0.883, aspect ratios ranging from 20 to 48, and the end boundaries were attached to the outer cylinder.) Different states were distinguished by their symmetry under rotation and reflection, by their azimuthal and axial wavenumbers, and by the rotation frequencies of the azimuthal travelling waves. Transitions between states were determined as functions of the inner- and outer-cylinder Reynolds numbers, Ri and Ro, respectively. The transitions were located by fixing Ro and slowly increasing Ri. Observed states include Taylor vortices, wavy vortices, modulated wavy vortices, vortices with wavy outflow boundaries, vortices with wavy inflow boundaries, vortices with flat boundaries and internal waves (twists), laminar spirals, interpenetrating spirals, waves on interpenetrating spirals, spiral turbulence, a flow with intermittent turbulent spots, turbulent Taylor vortices, a turbulent flow with no large-scale features, and various combinations of these flows. Some of these flow states have not been previously described, and even for those states that were previously described the present work provides the first coherent characterization of the states and the transitions between them. These flow states are all stable to small perturbations, and the transition boundaries between the states are reproducible. These observations can serve as a challenge and test for future analytic and numerical studies, and the map of the transitions provides several possible codimension-2 bifurcations that warrant further study.