论文标题

使用超座电场控制静电法拉第不稳定

Controlling the electrostatic Faraday instability using superposed electric fields

论文作者

Dehe, Sebastian, Hartmann, Maximilian, Bandopadhyay, Aditya, Hardt, Steffen

论文摘要

当介电和导电液之间的界面受到振荡电场的激发时,可以诱导静电法。在这里,我们研究了界面对交流电场的响应,AC电场是由不同频率的第二个AC场或DC场进行的。基于流体界面的光折射算法用于获得法拉第波的时空响应,并确定与不稳定性发作的临界电压,界面振荡频率和主流波长。分析了混合比表示驱动信号不同组件的相对幅度的影响,并分析了实验结果与理论预测进行了比较。对于AC/AC驱动,混合比的逐渐变化可以诱导模式波长的跳跃,这是从谐波到谐波振荡的过渡的结果。对于AC/DC驱动,界面可以谐波或亚harmon以谐波振荡,并且可以通过调整DC分量的混合来连续调节响应波长。对于这两种驾驶模式,实验与理论均显示出良好的一致性。

When the interface between a dielectric and a conducting liquid is excited by an oscillatory electric field, electrostatic Faraday waves can be induced. Here, we study the response of the interface to an AC electric field, which is superposed by either a second AC field of different frequency, or by a DC field. An algorithm based on light refraction at the fluidic interface is used to obtain the spatio-temporal response of the Faraday waves, and the critical voltage corresponding to onset of instability, the interfacial oscillation frequency and the dominant wavelengths are determined. The influence of the mixing ratio, which denotes the relative amplitudes of the different components of the driving signal, is analyzed, and the experimental results are compared with theoretical predictions. For AC/AC driving, gradual variations of the mixing ratio can induce a jump of the pattern wavelength, which is a result of the transition from harmonic to a subharmonic oscillation. For AC/DC driving, the interface oscillates either harmonically or subharmonically, and the response wavelength can be tuned continuously by adjusting the admixture of the DC component. For both driving modes, the experiments show good agreement with theory.

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