弱惯性效应对失稳后退接触线的影响
Weak-inertial effects on destabilized receding contact lines
AI总结：
本文针对部分润湿液体后退接触线超临界失稳形成角状结构的问题，在 Limat–Stone 黏性自相似解基础上引入首阶弱惯性修正，揭示界面尖点化、膜厚增加及惯性贡献随速度增强的规律。
摘要：
众所周知，当速度超过临界值时，部分润湿液体的直线接触线会失稳并形成角状结构。在探索这一现象的最早理论工作之一中，[L. Limat 与 H. A. Stone，《Europhys. Lett.》65(3)，2004] 给出了黏性区中界面的自相似锥形结构。然而，对于许多常见液体，在接触线速度接近并超过临界值时，惯性预计不可忽略；鉴于此，我们对他们的解给出了首阶惯性修正。具体而言，我们求得了界面形状以及流场的自相似修正，并确定了它们随毛细数的标度关系。我们发现，惯性总是使界面变为尖点状，并使膜厚增加。此外，当将接触线动力学纳入模型后，接触线速度增加会导致角区变窄；尽管约束增强，我们仍观察到惯性贡献总体上随速度增加。
英文摘要：
It is known that beyond a critical speed, the straight contact line of a partially-wetting liquid destabilizes into a corner. In one of the earliest theoretical works exploring this phenomenon, [L. Limat and H. A. Stone, Europhys. Lett. 65(3), 2004] elicited a self-similar conical structure of the interface in the viscous regime. However, noting that inertia is not expected to be negligible at contact line speeds close to, and beyond the critical value for many common liquids, we provide the leading-order inertial correction to their solution. In particular, we find the self-similar corrections to the interface shape as well as the flow-field, and also determine their scaling with the capillary number. We find that inertia invariably modifies the interface into a cusp-like shape with an increased film thickness. Furthermore, when incorporating contact line dynamics into the model, resulting in a narrowing of the corner as the contact line speed increases, we still observe an overall increase in the inertial contribution with speed despite the increased confinement.
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