Rotating free-shear flows. I. Linear stability analysis
Rotating free-shear flows. I. Linear stability analysis
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旋转自由剪切流。
DOI：
10.1063/1.858736
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发表时间：
1993
影响因子：
4.6
通讯作者：
J. Riley
中科院分区：
文献类型：
--
作者：
S. Yanase;C. Flores;O. Métais;J. Riley
使用线性稳定性分析，研究了旋转轴垂直于环境流平面的刚体旋转的平面尾流和混合层的不稳定特性。特别是，旋转的倾向，以稳定或不稳定的三维运动的解决。在无粘极限下，结果与Pedley [J.FluidMech.35，97（1969）]和Bradshaw [J.FluidMech.36，177（1969）]建立的准则一致。气旋旋转和强反气旋旋转倾向于稳定三维运动，而较弱的反气旋旋转（Ro 1）则会使这些运动不稳定。后者的不稳定性是在流向辊的形式，类似于以前的结果获得的边界层和通道流。结果发现，这种不稳定性是强于共存的Kelvin-Helmholtz不稳定性的范围约为1.5
Using linear stability analysis, the instability characteristics are examined of both planar wakes and mixing layers subjected to rigid‐body rotation with axis of rotation perpendicular to the plane of the ambient flow. In particular, the tendency of rotation to stabilize or destabilize three‐dimensional motions is addressed. In the inviscid limit the results are consistent with the criterion established by Pedley [J. Fluid Mech. 35, 97 (1969)] and Bradshaw [J. Fluid Mech. 36, 177 (1969)]. Cyclonic rotation and strong anticyclonic rotation tend to stabilize three‐dimensional motions, whereas weaker anticyclonic rotation (Ro≳1) acts to destabilize these motions. This latter instability is in the form of streamwise rolls, similar to previous results obtained for boundary layer and channel flows. It is found that this instability is stronger than the coexisting Kelvin–Helmholtz instability for roughly the range 1.5