Resonant flow of a rotating fluid past an obstacle : the general case
Resonant flow of a rotating fluid past an obstacle : the general case
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DOI：
10.1002/sapm1990833249
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发表时间：
1990-10
影响因子：
2.7
通讯作者：
R. Grimshaw
中科院分区：
文献类型：
--
作者：
R. Grimshaw
我们认为流动的旋转流体通过反对称障碍物放置在一个圆柱形管的轴上，对于上游流的情况下，几乎是共振的，或临界的，所以自由线性长波的速度几乎为零的参考帧的障碍。扰动流由共振模式主导，当上游流包含径向剪切和/或径向相关角速度时，共振模式的振幅满足强迫Korteweg-de弗里斯方程
We consider the flow of a rotating fluid past an antisymmetric obstacle placed on the axis of a cylindrical tube, for the case when the upstream flow is nearly resonant, or critical, so that the speed of a free linear long wave is nearly zero in the frame of reference of the obstacle. The perturbed flow is dominated by the resonant mode, whose amplitude satisfies a forced Korteweg-de Vries equation in this general case when the upstream flow contains radial shear and/or radially dependent angular velocity