从纯液浴中拉出的游离膜的破裂
The break-up of free films pulled out of a pure liquid bath
摘要：
在本文中，我们推导出一个润滑模型来描述非稳态自由液膜时，所产生的垂直框架，以给定的速度拉出的液体容器。我们在这里集中在纯液体的情况下，对应于无应力的边界条件在液体/空气界面的膜，从而采用基本上延伸的描述的流动。考虑到界面之间的范德华相互作用，我们观察到，膜破裂是明确定义的时间以及在空间中，这使我们能够计算临界厚度和膜高度在破裂的时刻。该模型的理论预测结果是在定量协议与实验测量的硅油膜的破裂高度在很宽的范围内的牵引速度和支撑纤维直径。
英文摘要：
In this paper, we derive a lubrication model to describe the non-stationary free liquid film that is created when a vertical frame is pulled out of a liquid reservoir at a given velocity. We here focus on the case of a pure liquid, corresponding to a stress-free boundary condition at the liquid/air interfaces of the film, and thus employ an essentially extensional description of the flow. Taking into account van der Waals interactions between the interfaces, we observe that film rupture is well-defined in time as well as in space, which allows us to compute the critical thickness and the film height at the moment of rupture. The theoretical predictions of the model turn out to be in quantitative agreement with experimental measurements of the break-up height of silicone oil films in a wide range of pulling velocities and supporting fiber diameters.
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