论文标题
边润湿:楔子中的铆钉的稳态
Edge Wetting: Steady State of Rivulets in Wedges
论文作者
论文摘要
粗糙,纹理,破裂和多孔介质的几何形状在拓扑上是复杂的。建模时,这些介质通常由毛细管束代表。但是,含角度的几何形状可以作为其内部结构的更现实的描述。所有这些固有的基本元素是一个开放的楔形通道。毛细血管的经典理论忽略了分子间相互作用,这意味着,当液体加气界面凹入时,进入楔形的液体必须无限期地沿其脊柱传播。后者众所周知是cus林的条件。在本文中,我们表明,当考虑到表面力时,可以在此类通道中形成违反Concus-Finn条件的稳态铆钉。我们提出了一个基于分离压力方法的简单模型,并分析了楔形中铆钉的形状。此外,我们考虑了楔形壁柔软并且可以被液体变形的情况。
The geometry of rough, textured, fractured and porous media is topologically complicated. Those media are commonly represented by bundles of capillary tubes when modeled. However, angle-containing geometries can serve as a more realistic portrayal of their inner structure. A basic element abidingly inherent to all of them is an open wedge-like channel. The classical theory of capillarity ignoring intermolecular interactions implies that liquid entering the wedge must propagate indefinitely along its spine when the liquid-gas interface is concave. The latter is well-known as a Concus-Finn condition. In the present paper, we show that steady-state rivulets violating Concus-Finn condition can be formed in such channels when the surface forces are taken into account. We present a simple model based on the disjoining pressure approach and analyze the shape of the rivulets in the wedges. Besides, we consider a case when the walls of the wedge are soft and can be deformed by the liquid.