Modeling the vertical motion of drops bouncing on a bounded fluid reservoir
Modeling the vertical motion of drops bouncing on a bounded fluid reservoir
复制标题
对在有界流体储存器上弹跳的液滴的垂直运动进行建模
DOI：
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发表时间：
2016
期刊：
影响因子：
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通讯作者：
F. Blanchette
中科院分区：
文献类型：
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作者：
F. Blanchette
我们提出了液滴在储液器上弹跳的第一原理模型。我们考虑一个几乎无粘性的液体储层并跟踪在有界域中产生的波。弹跳水滴被建模为垂直线性弹簧。我们获得了液滴与液体表面之间的接触力的表达式和模型，其中唯一可调节的参数是用于描述储层表面上的波浪的有效粘度。由于没有与跌落相关的可调节参数，我们恢复了实验弹跳时间和恢复系数。我们使用我们的模型来描述 Bond、Ohnesorge 和 Weber 数对静止水库上弹跳的液滴的影响。我们还使用我们的模型来描述在振荡水库上弹跳的水滴，描述各种弹跳模式和行走阈值。
We present a first-principles model of drops bouncing on a liquid reservoir. We consider a nearly inviscid liquid reservoir and track the waves that develop in a bounded domain. Bouncing drops are modeled as vertical linear springs. We obtain an expression for the contact force between drop and liquid surface and a model where the only adjustable parameter is an effective viscosity used to describe the waves on the reservoir’s surface. With no adjustable parameters associated to the drop, we recover experimental bouncing times and restitution coefficients. We use our model to describe the effect of the Bond, Ohnesorge, and Weber numbers on drops bouncing on a stationary reservoir. We also use our model to describe drops bouncing on an oscillated reservoir, describing various bouncing modes and a walking threshold.