The motion, stability and breakup of a stretching liquid bridge with a receding contact line

被引:64
作者
Qian, Bian [1 ]
Breuer, Kenneth S. [1 ]
机构
[1] Brown Univ, Div Engn, Providence, RI 02915 USA
基金
美国国家科学基金会;
关键词
instability; liquid bridges; MINIMUM VOLUME; AXIAL GRAVITY; EQUAL DISKS; DEFORMATION; COALESCENCE; EVOLUTION; SLENDER; DROPS; PEN;
D O I
10.1017/S0022112010004611
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
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.
引用
收藏
页码:554 / 572
页数:19
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