Stick-slip dynamics of an oscillated sessile drop
Stick-slip dynamics of an oscillated sessile drop
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DOI：
10.1063/1.3174446
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发表时间：
2009-07-01
影响因子：
4.6
通讯作者：
Straube, Arthur V.
中科院分区：
文献类型：
--
作者：
Fayzrakhmanova, Irina S.;Straube, Arthur V.
本文从理论上考虑了不可压缩液体的振动无底液滴的动力学问题，重点讨论了接触线迟滞问题。我们处理的情况下，小幅度和高频振荡施加在基片表面正常。我们处理平衡面为半球形，平衡接触角为/2的液滴。我们采用动态边界条件，其中涉及接触角对接触线速度的模糊依赖：只有当接触角的偏差超过某个临界值时，接触线才开始滑动。因此，可以观察到粘滑动力学。分析了基板表面和滴极处表面振动的频率响应。研究表明，接触线迟滞引起了反共振频带的出现和不同共振的非平凡竞争等新特征。
We consider theoretically the dynamics of an oscillated sessile drop of incompressible liquid and focus on the contact line hysteresis. We address the situation of the small-amplitude and high-frequency oscillations imposed normally to the substrate surface. We deal with the drop whose equilibrium surface is hemispherical and the equilibrium contact angle equals pi/2. We apply the dynamic boundary condition that involves an ambiguous dependence of the contact angle on the contact line velocity: The contact line starts to slide only when the deviation of the contact angle exceeds a certain critical value. As a result, the stick-slip dynamics can be observed. The frequency response of surface oscillations on the substrate and at the pole of the drop are analyzed. It is shown that novel features such as the emergence of antiresonant frequency bands and nontrivial competition of different resonances are caused by contact line hysteresis.