Rayleigh-Taylor instability in thin liquid films subjected to harmonic vibration
Rayleigh-Taylor instability in thin liquid films subjected to harmonic vibration
复制标题
简谐振动下薄液膜的瑞利-泰勒不稳定性
DOI：
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发表时间：
2017
期刊：
影响因子：
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通讯作者：
A. Oron
中科院分区：
文献类型：
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作者：
Elad Sterman;M. Bestehorn;A. Oron
本文在一组考虑惯性效应的长波演化方程的框架下，研究了置于平面衬底底面的二维液体薄膜在法向或切向简谐强迫作用下的Rayleigh-Taylor不稳定性。修订本E 88,023025(2013年)]。在切向振动的情况下，具有平坦界面的时间周期基态的线性稳定性分析表明，存在薄膜不稳定的波数域。在正常振动的情况下，静态基态的线性稳定性分析表明，系统的不稳定性阈值由瑞利-泰勒不稳定性和法拉第不稳定性的不同阈值的组合来描述。在静态衬底的情况下，薄膜界面的非线性动力学导致薄膜破裂。呵..。
The dynamics of the Rayleigh-Taylor instability of a two-dimensional thin liquid film placed on the underside of a planar substrate subjected to either normal or tangential harmonic forcing is investigated here in the framework of a set of long-wave evolution equations accounting for inertial effects derived earlier by Bestehorn, Han, and Oron [“Nonlinear pattern formation in thin liquid films under external vibrations,” Phys. Rev. E 88, 023025 (2013)]. In the case of tangential vibration, the linear stability analysis of the time-periodic base state with a flat interface shows the existence of the domain of wavenumbers where the film is unstable. In the case of normal vibration, the linear stability analysis of the quiescent base state reveals that the instability threshold of the system is depicted by a combination of distinct thresholds separate for the Rayleigh-Taylor and Faraday instabilities. The nonlinear dynamics of the film interface in the case of the static substrate results in film rupture. Ho...