弹性毛细血管上升动力学
Dynamics of elastocapillary rise
摘要：
我们提出的结果相结合的实验和理论研究的表面张力驱动的柔性结构的聚结。具体来说，我们考虑的动态上升的润湿液体之间的柔性片材，夹在其上端。随着弹性的床单是逐步增加，我们观察到一个系统的偏离经典的扩散行为：达到平衡的时间显着增加，偏离经典的上升发生得更快，我们阐明通过缩放分析的趋势。三个不同的时间制度确定和随后探索开发的理论模型的基础上润滑理论和线性理论的板。由此产生的自由边界问题的数值求解和良好的协议，获得与实验。
英文摘要：
We present the results of a combined experimental and theoretical investigation of the surface-tension-driven coalescence of flexible structures. Specifically, we consider the dynamics of the rise of a wetting liquid between flexible sheets that are clamped at their upper ends. As the elasticity of the sheets is progressively increased, we observe a systematic deviation from the classical diffusive-like behaviour: the time to reach equilibrium increases dramatically and the departure from classical rise occurs sooner, trends that we elucidate via scaling analyses. Three distinct temporal regimes are identified and subsequently explored by developing a theoretical model based on lubrication theory and the linear theory of plates. The resulting free-boundary problem is solved numerically and good agreement is obtained with experiments.
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