An experimental study of strongly nonlinear waves in a rotating system
An experimental study of strongly nonlinear waves in a rotating system
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旋转系统中强非线性波的实验研究
DOI：
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发表时间：
1987
影响因子：
3.7
通讯作者：
Xuizhang Zhang
中科院分区：
文献类型：
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作者：
D. Renouard;G. C. D'hieres;Xuizhang Zhang
在格勒诺布尔大学大型旋转平台上的一个（10 m × 2 m × 0.6 m）通道中研究了旋转对内孤立波的影响。我们观察到一个相对于其传播方向沿通道右侧移动的膨胀。在侧面，当膨胀达到平衡形状时，sech2函数正确地描述了界面高度随时间的变化，实现了最大振幅与侧面波长相联系的特征KdV标度定律。膨胀是一种除粘性阻尼外整体运动而不发生变形的稳定现象。在相同的实验条件下，沿侧的膨胀幅度随科里奥利参数的增大而增大，在平台旋转一定周期时，沿侧的速度随振幅的增大而增大。但是在相同的条件下，我们发现沿边的速度等于波在没有旋转的情况下的速度。在垂直于壁面的平面上，膨胀的振幅随着离壁距离的增加呈指数递减，但波峰向后弯曲。
The influence of rotation upon internal solitary waves is studied in a (10 m × 2 m × 0.6 m) channel located on the large rotating platform at Grenoble University. We observe an intumescence which moves along the right-hand side of the channel with respect to its direction of propagation. Along the side, once the intumescence reaches its equilibrium shape, the height variation of the interface with time is correctly described by the sech2 function, and the characteristic KdV scaling law linking the maximum amplitude and the wavelength along the side is fulfilled. The intumescence is a stable phenomenon which moves as a whole without deformation apart from the viscous damping. For identical experimental conditions, the amplitude of the intumescence along the side increases with increasing Coriolis parameter, and at a given period of rotation of the platform, the celerity along the side increases with increasing amplitude. But for identical conditions, we found that the celerity along the side is equal to the celerity that the wave would have for such conditions without rotation. The amplitude of the intumescence in a plane perpendicular to the wall decreases exponentially with increasing distance from the side, but the crest of the wave is curved backward.