Dynamics of a three-dimensional oil drop driven by a surface acoustic wave over topography

IF 2.6 4区物理与天体物理 Q4 CHEMISTRY, PHYSICAL

The European Physical Journal E Pub Date : 2026-06-29 DOI:10.1140/epje/s10189-026-00604-9

Mark Fasano, Yifan Li, Javier A. Diez, Ofer Manor, Linda J. Cummings, Lou Kondic

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引用次数: 0

Abstract

We perform three-dimensional simulations of SAW-driven spreading of silicone oil drops on flat substrates and over solid obstacles. The resulting model takes the form of a three-dimensional long-wave thin-film equation incorporating capillary, gravitational, and SAW-induced acoustic stresses. A key feature of the formulation is a smooth attenuation function that localizes acoustic forcing within the bulk drop while avoiding spurious transverse discontinuities. Comparisons with results of earlier 2D formulations demonstrate qualitatively similar dynamics, albeit the additional spatial dimension permits transverse mass redistribution driven by capillarity, which leads to slower streamwise spreading and slightly lower drop apexes than predicted by 2D models. The model is applied to SAW induced dynamic wetting of flat substrates and solid obstacles and is representative of experimental geometries. Quantitative comparisons with experimental observations show good agreement for front propagation and obstacle climbing dynamics. In particular, improved agreement with the experimentally observed dependence of the liquid climbing time over obstacles on SAW amplitude is obtained when the fully three-dimensional formulation is used.

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地形表面声波驱动的三维油滴动力学。

我们进行了三维模拟的saw驱动的扩散硅油滴在平面基板和固体障碍。所得到的模型采用三维长波薄膜方程的形式，包括毛细管、重力和saw引起的声应力。该公式的一个关键特征是平滑的衰减函数，该函数可将声强迫定位在体积下降内，同时避免了虚假的横向不连续。虽然额外的空间维度允许由毛细作用驱动的横向质量再分布，从而导致较慢的流向扩散和略低于2D模型预测的下降顶点，但与早期2D模型的结果相比，两者的结果在质量上是相似的。该模型适用于SAW引起的平面基底和固体障碍物的动态润湿，具有代表性的实验几何形状。通过与实验结果的比较，表明了前传播和爬障动力学的良好一致性。特别是，当使用全三维公式时，与实验观察到的液体爬过障碍物的时间与声呐振幅的依赖关系得到了更好的一致性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

The European Physical Journal E CHEMISTRY, PHYSICAL-MATERIALS SCIENCE, MULTIDISCIPLINARY

CiteScore

2.60

自引率

5.60%

发文量

审稿时长

3 months

期刊介绍： EPJ E publishes papers describing advances in the understanding of physical aspects of Soft, Liquid and Living Systems. Soft matter is a generic term for a large group of condensed, often heterogeneous systems -- often also called complex fluids -- that display a large response to weak external perturbations and that possess properties governed by slow internal dynamics. Flowing matter refers to all systems that can actually flow, from simple to multiphase liquids, from foams to granular matter. Living matter concerns the new physics that emerges from novel insights into the properties and behaviours of living systems. Furthermore, it aims at developing new concepts and quantitative approaches for the study of biological phenomena. Approaches from soft matter physics and statistical physics play a key role in this research. The journal includes reports of experimental, computational and theoretical studies and appeals to the broad interdisciplinary communities including physics, chemistry, biology, mathematics and materials science.