The motion, stability and breakup of a stretching liquid bridge with a receding contact line
The motion, stability and breakup of a stretching liquid bridge with a receding contact line
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DOI：
10.1017/s0022112010004611
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发表时间：
2011-01-10
影响因子：
3.7
通讯作者：
Breuer, Kenneth S.
中科院分区：
文献类型：
--
作者：
Qian, Bian;Breuer, Kenneth S.
被认为是在一个模型问题，其中研究了一个恒定体积的液体桥的演变作为桥梁拉伸的疏水表面上的液滴沉积的复杂行为。桥在上接触点处以固定的直径固定，但是在下附接点处的接触线在光滑的基底上自由移动。实验表明，最初，当桥被拉伸时，下接触线缓慢地向内缩回。然而，在临界半径处，桥变得不稳定，接触线急剧加速，非常迅速地向内移动。桥随后夹断，并且小液滴留在衬底上。准静态分析，使用杨拉普拉斯方程，是用来准确预测的形状的桥梁在最初的桥梁演变，包括最初发病的缓慢接触线回缩。的稳定性分析是用来预测的发病夹断，和一个一维的动力学方程，再加上一个坦纳法律的动态接触角，是用来模拟快速夹断行为。数值预测和实验之间的良好协议被发现在整个桥梁的演变，和动态接触线模型的重要性被证明。
The complex behaviour of drop deposition on a hydrophobic surface is considered by looking at a model problem in which the evolution of a constant-volume liquid bridge is studied as the bridge is stretched. The bridge is pinned with a fixed diameter at the upper contact point, but the contact line at the lower attachment point is free to move on a smooth substrate. Experiments indicate that initially, as the bridge is stretched, the lower contact line slowly retreats inward. However, at a critical radius, the bridge becomes unstable, and the contact line accelerates dramatically, moving inward very quickly. The bridge subsequently pinches off, and a small droplet is left on the substrate. A quasi-static analysis, using the Young-Laplace equation, is used to accurately predict the shape of the bridge during the initial bridge evolution, including the initial onset of the slow contact line retraction. A stability analysis is used to predict the onset of pinch-off, and a one-dimensional dynamical equation, coupled with a Tanner law for the dynamic contact angle, is used to model the rapid pinch-off behaviour. Excellent agreement between numerical predictions and experiments is found throughout the bridge evolution, and the importance of the dynamic contact line model is demonstrated.