Instability in a spatially periodic open flow
Instability in a spatially periodic open flow
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空间周期性开流的不稳定性
DOI：
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发表时间：
1995
期刊：
影响因子：
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通讯作者：
H. Swinney
中科院分区：
文献类型：
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作者：
M. Schatz;D. Barkley;H. Swinney
R r= 130，比平面波氏弓小40倍以上。的主要转变是一个超临界的Hopf分岔所产生的对流不稳定。数值线性稳定性分析是在定量协议与实验观察，和一个简单的一维模型捕获的主要过渡的基本特征。二次流在R2= 160时失去稳定性，变为三次流，沿流向具有驻波结构，沿展向具有优选波数。这种三维流动在R的范围内保持稳定，即使结构类似于通常由壁边界剪切流显示的湍流破裂的初始阶段。三维流动开始时的Floqpet稳定性分析结果与实验结果部分一致。0 1995年美国Ins&z&e o$物理。
R r= 130, more than 40 times smaller than for plane Poiseuille Bow. The primary transition is shown to be a supercritical Hopf bifurcation arising from a convective instability. A numerical linear stability analysis is in quantitative agreement with the experimental observations, and a simple one-dimensional model captures essential features of the primary transition. The.secohdary flow loses stability at R2= 160 to a tertiary flow, with a standing wave structure aIong the streamwise direction and a preferred wave number in the spanwise direction. This three-dimensional flow remains stable for a range of R, even though the structures resemble the initial stages of the breakdown to turbulence typically displayed by wall-bounded shear flow. The results of a Floqpet stability analysis for the onset of three-dimensional flow are in partial agreement with experiment. 0 I995 American Ins&z&e o$ Physics.