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Effect of Depth on the Pattern Formation of Faraday Waves

1997; American Physical Society; Volume: 79; Issue: 25 Linguagem: Inglês

10.1103/physrevlett.79.5010

1092-0145

Doug Binks, Mark-Tiele Westra, Willem van de Water,

Fluid Dynamics and Thin Films

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.