Waves and instabilities in rotating free surface flows
Waves and instabilities in rotating free surface flows
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旋转自由表面流中的波浪和不稳定性
DOI：
10.1051/meca/2014007
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发表时间：
2014
影响因子：
1.2
通讯作者：
L. Lacaze
中科院分区：
文献类型：
--
作者：
Jérôme Mougel;D. Fabre;L. Lacaze
本文用整体稳定性方法研究了圆柱形容器内旋转自由表面流动的稳定性，先后考虑了三种模型。对于固体旋转（牛顿桶）的情况下，所有的本征模式被发现是稳定的，并被分为三个家庭：重力波，奇异惯性模式，和Rossby波。对于势流的情况，我们发现了一种不稳定性，其机制被解释为重力波和离心波之间的共振，并被认为是在实验中观察到的“旋转多边形不稳定性”的起源，在实验中，流动是由底板的旋转驱动的（见L. Tophoj，J. Mougel，T.波尔，D.法布尔，旋转自由表面流动的旋转多边形不稳定性，物理评论，Lett。110（2013）194502）。最后，在朗肯涡的情况下，这实际上是在前两种情况的组合，我们报告了一个新的不稳定机制，涉及Rossby和重力波。
The stability properties of the rotating free surface flow in a cylindrical container is studied using a global stability approach, considering successively three models. For the case of solid body rotation (Newton’s bucket), all eigenmodes are found to be stable, and are classified into three families: gravity waves, singular inertial modes, and Rossby waves. For the case of a potential flow, an instability is found. The mechanism is explained as a resonance between gravity waves and centrifugal waves, and is thought to be at the origin of the “rotating polygon instability” observed in experiments where the flow is driven by rotation of the bottom plate (see L. Tophoj, J. Mougel, T. Bohr, D. Fabre, The Rotating Polygon Instability of a Swirling Free Surface Flow, Phys. Rev. Lett. 110 (2013) 194502). Finally, in the case of the Rankine vortex which in fact consists in the combination of the two first cases, we report a new instability mechanism involving Rossby and gravity waves.
影响因子：
4.6
作者：
Toshiyuki Suzuki;M. Iima;Y. Hayase
通讯作者：
Toshiyuki Suzuki;M. Iima;Y. Hayase