Effect of depth on the pattern formation of Faraday waves
Effect of depth on the pattern formation of Faraday waves
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DOI：
10.1103/physrevlett.79.5010
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发表时间：
1997-12-22
影响因子：
8.6
通讯作者：
van de Water, W
中科院分区：
文献类型：
--
作者：
Binks, D;Westra, MT;van de Water, W
在垂直振荡的流体层的表面上的驻波图案的对称性取决于层的深度。在一个大型实验中，我们绘出了稳定性图。这种依赖性可以根据波的振荡特性和色散关系来理解。一个简单的振幅方程可以构造与色散关系随深度的变化和一般的二次非线性作为其唯一的成分。这个模型的预测与实验结果吻合得很好。
The symmetry of standing wave patterns on the surface of a vertically oscillated fluid layer depends on the depth of the layer. In a large experiment we trace out the stability diagram. The dependency can be understood on the basis of the oscillatory character of the waves and the dispersion relation. A simple amplitude equation can be constructed with the variation with depth of the dispersion relation and a general quadratic nonlinearity as its only ingredients. The predictions of this model agree well with the experiment.