Falcón Claudio, Fauve Stéphan
Ecole Normale Supérieure, CNRS, 75 005 Paris, France.
Phys Rev E Stat Nonlin Soft Matter Phys. 2009 Nov;80(5 Pt 2):056213. doi: 10.1103/PhysRevE.80.056213. Epub 2009 Nov 25.
We present an experimental study of the effect of an electromagnetically generated vortex flow on parametrically amplified waves at the surface of a vertically vibrated fluid layer. The underlying vortex flow, generated by a periodic Lorentz force, creates spatiotemporal fluctuations that nonlinearly interact with the standing surface waves. We measure the power spectral density of the surface wave amplitude and we characterize the bifurcation diagram by recording the subharmonic response of the surface to the external vibration. We show that the parametric instability is delayed in the presence of spatiotemporal fluctuations due to the vortex flow. In addition, the dependence of the amplitude of the subharmonic response on the distance to the instability threshold is modified. This shows that the nonlinear saturation mechanism of the waves is modified by the vortex flow.
我们展示了一项关于电磁产生的涡旋流对垂直振动流体层表面参量放大波影响的实验研究。由周期性洛伦兹力产生的底层涡旋流会产生时空波动,这些波动与驻波表面波发生非线性相互作用。我们测量了表面波振幅的功率谱密度,并通过记录表面对外部振动的亚谐波响应来表征分岔图。我们表明,由于涡旋流的存在,参量不稳定性会延迟。此外,亚谐波响应的振幅对到不稳定性阈值距离的依赖性也会改变。这表明涡旋流改变了波的非线性饱和机制。