An experimental study of Faraday waves formed on the interface between two immiscible liquids
An experimental study of Faraday waves formed on the interface between two immiscible liquids
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DOI：
10.1063/1.1718354
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发表时间：
2004-05
影响因子：
4.6
通讯作者：
C. R. Tipton;T. Mullin
中科院分区：
文献类型：
--
作者：
C. R. Tipton;T. Mullin
本文报道了圆柱形容器中两种不相容液体在垂直振动时在界面上形成的法拉第波的实验研究结果。系统地研究了体积填充比ψ对与主轴对称模式起始相关的分岔集的影响。特别地，给出了响应最大的控制参数空间的次谐区域的结果。超临界分叉和亚临界分叉都被发现，在后一种情况下具有滞后。滞回的程度强烈地依赖于ψ，这表明非线性阻尼效应受该参数的影响。在较大的驱动幅值下，通过Hopf分叉发展了进动周期运动。当激励频率等于共振模式固有频率的1.853±0.006倍时，该模式被观察到灾难性地消失。
We report results of an experimental study of Faraday waves that were formed on the interface between two immiscible liquids in a cylindrical cell when it was oscillated vertically. The effects of the volume filling ratio ψ on the bifurcation set associated with the onset of the fundamental axisymmetric mode was investigated systematically. In particular, results are presented for the subharmonic regime of the control parameter space where the response was greatest. Both super- and subcritical bifurcations are uncovered, with hysteresis in the latter case. The extent of the hysteresis is observed to strongly depend on ψ, suggesting that nonlinear damping effects are influenced by this parameter. At large drive amplitudes, a precessional periodic motion was found to develop via a Hopf bifurcation. This mode was observed to disappear catastrophically at an excitation frequency equal to 1.853±0.006 times the natural frequency of the resonant mode.