Marangoni convection in a thin film on a vertically oscillating plate.
Marangoni convection in a thin film on a vertically oscillating plate.
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垂直振荡板上薄膜中的马兰戈尼对流。
DOI：
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发表时间：
2015
期刊：
影响因子：
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通讯作者：
M. Khenner
中科院分区：
文献类型：
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作者：
S. Shklyaev;A. Alabuzhev;M. Khenner
本文研究了平板上薄膜的热毛细对流，其振荡频率从超低到高。通过调整振动幅度，振动的影响保持不可忽略。使用长波近似框架，振幅方程推导出每个频率间隔，线性和弱非线性的稳定性分析，必要时辅以计算。在高振动频率的情况下，表面张力由于振动而有效地增加，但是膜仍然破裂。当频率超低时，振动提供重力调制，并且表面变形出现亚临界，快速增长，然后衰减，所有这些都在不到一半的振动周期内。在中间制度，振动的结果在短波长的不稳定性或它不影响马兰戈尼对流。
Thermocapillary (Marangoni) convection in a thin film on a plate oscillating with a frequency ranging from ultralow to high is considered. By adjusting the vibration amplitude, the impact of the vibration is kept non-negligible. Using the long-wave approximation framework, the amplitude equations are derived for each frequency interval, and linear and weakly nonlinear stability analyses are performed, supplemented by computations where necessary. In the case of a high vibration frequency, the surface tension effectively increases due to vibration, but the film still ruptures. When the frequency is ultralow, the vibration provides gravity modulation, and the surface deformation emerges subcritically, grows fast, and then decays, all during less than half of the vibration period. In the intermediate regime, the vibration either results in a short-wavelength instability or it does not affect the Marangoni convection.