arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 2312.12367physics.flu-dyn
收藏

由下方基底中的声表面波驱动的油滴动力学建模

Modeling the dynamics of an oil drop driven by a surface acoustic wave in the underlying substrate

New Jersey Institute of Technology(新泽理工学院);Technion - Israel Institute of Technology(以色列理工学院);Universidad Nacional del Centro de la Provincia de Buenos Aires(布宜诺斯艾利斯省中部国立大学)

M. Fasano, Y. Li, J. A. Diez, J. D'Addesa, O. Manor, L. J. Cummings, L. Kondic

AI总结:

本文建立长波近似含时模型,研究基底 MHz 声表面波驱动宏观硅油滴铺展,揭示泄漏声场 Reynolds 应力导致液滴准稳态形状与近恒定速度,并获实验与模拟支持。

摘要:

我们提出了一项由模拟和实验支持的理论研究,研究在下方固体基底中 MHz 频率声表面波(SAW)激发下硅油滴的铺展行为。我们的含时理论模型采用长波近似方法,并考虑流体动力学与声学驱动之间的相互作用。尽管类似方法已分析过 SAW 激发下微米尺度油膜和水膜的动力学,但声学驱动力此前与边界层流动(具体为 Schlichting 流和 Rayleigh 流)以及声辐射压力相关联。对于本研究中的宏观液滴,声学驱动力来源于液滴下方 SAW 泄漏声场强度变化以及泄漏波黏性耗散所导致的液体内 Reynolds 应力变化。在此情形下,Schlichting 流和 Rayleigh 流的贡献可忽略不计。实验和模拟均表明,在油滴变形以适应声学应力的初始阶段之后,液滴开始加速,并随时间达到近乎恒定的速度,同时留下一层薄薄的润湿层。我们的模型表明,液滴的稳定速度源于其主体的准稳态形状。液滴速度取决于液滴尺寸和 SAW 强度。一个突出各种物理效应的简化行波型模型进一步阐明了其稳定形状和速度。尽管实验与理论在液滴速度上仅为定性一致,但关于 SAW 振幅变化的结果趋势表明,该模型真实地纳入了驱动液滴动力学的主要物理效应。

英文摘要:

We present a theoretical study, supported by simulations and experiments, on the spreading of a silicone oil drop under MHz-frequency surface acoustic wave (SAW) excitation in the underlying solid substrate. Our time-dependent theoretical model uses the long wave approach and considers interactions between fluid dynamics and acoustic driving. While similar methods have analyzed micron-scale oil and water film dynamics under SAW excitation, acoustic forcing was linked to boundary layer flow, specifically Schlichting and Rayleigh streaming, and acoustic radiation pressure. For the macroscopic drops in this study, acoustic forcing arises from Reynolds stress variations in the liquid due to changes in the intensity of the acoustic field leaking from the SAW beneath the drop and the viscous dissipation of the leaked wave. Contributions from Schlichting and Rayleigh streaming are negligible in this case. Both experiments and simulations show that after an initial phase where the oil drop deforms to accommodate acoustic stress, it accelerates, achieving nearly constant speed over time, leaving a thin wetting layer. Our model indicates that the steady speed of the drop results from the quasi-steady shape of its body. The drop speed depends on drop size and SAW intensity. Its steady shape and speed are further clarified by a simplified traveling wave-type model that highlights various physical effects. Although the agreement between experiment and theory on drop speed is qualitative, the results' trend regarding SAW amplitude variations suggests that the model realistically incorporates the primary physical effects driving drop dynamics.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑