Quasi-normal free-surface impacts, capillary rebounds and application to Faraday walkers
Quasi-normal free-surface impacts, capillary rebounds and application to Faraday walkers
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DOI：
10.1017/jfm.2019.409
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发表时间：
2019-08-25
影响因子：
3.7
通讯作者：
Vanden-Broeck, J-M
中科院分区：
文献类型：
--
作者：
Galeano-Rios, C. A.;Milewski, P. A.;Vanden-Broeck, J-M
我们提出了一个模型的毛细血管规模的对象，反弹的流体浴，因为他们也水平平移。反弹的物体是疏水球，其影响不可压缩流体浴的界面，其运动由线性准势流描述。在一个准正常的影响假设下，我们证明了问题可以分解成一个轴对称的冲击到一个静止的浴表面，和非受迫的表面波的演变。我们得到一个步行模型，是免费的影响parametrisation，我们应用这个公式来模拟液滴行走在振动浴。我们表明，该模型准确地再现弹跳模式，影响阶段和随时间变化的波场地形弹跳和行走液滴的实验报告。此外，我们重新审视液滴影响过程中的水平阻力的建模，以纳入液滴表面接触过程中的受压区域的变化的影响。最后，我们表明，这个模型捕捉最近发现的现象的超级步行者。
We present a model for capillary-scale objects that bounce on a fluid bath as they also translate horizontally. The rebounding objects are hydrophobic spheres that impact the interface of a bath of incompressible fluid whose motion is described by linearised quasi-potential flow. Under a quasi-normal impact assumption, we demonstrate that the problem can be decomposed into an axisymmetric impact onto a quiescent bath surface, and the unforced evolution of the surface waves. We obtain a walking model that is free of impact parametrisation and we apply this formulation to model droplets walking on a vibrating bath. We show that this model accurately reproduces experimental reports of bouncing modes, impact phases and time-dependent wave field topography for bouncing and walking droplets. Moreover, we revisit the modelling of horizontal drag during droplet impacts to incorporate the effects of the changes in the pressed area during droplet-surface contacts. Finally, we show that this model captures the recently discovered phenomenon of superwalkers.