论文标题
壁滑膜对超薄膜对固体底物的侵蚀的影响:线性不稳定性和二阶润滑理论
The effect of wall slip on the dewetting of ultrathin films on solid substrates: Linear instability and second-order lubrication theory
论文作者
论文摘要
在可忽略不计的极限下,分析了壁滑动对放置在固体底物上的非润湿液膜不稳定性的影响。特别是,我们专注于膜的稳定性,比较了文献中可用的三种润滑模型的性能,即弱,中间和强的滑移模型与Stokes方程。由于上述前阶润滑模型均未证明能够预测整个滑动长度范围的扰动的生长速率,因此我们开发了一个抛物线模型,能够准确预测膜的线性动力学,以实现任意滑移长度。
The influence of wall slip on the instability of a non-wetting liquid film placed on a solid substrate is analyzed in the limit of negligible inertia. In particular, we focus on the stability properties of the film, comparing the performance of the three lubrication models available in the literature, namely the weak, intermediate and strong slip models, with the Stokes equations. Since none of the aforementioned leading-order lubrication models is shown to be able to predict the growth rate of perturbations for the whole range of slipping lengths, we develop a parabolic model able to accurately predict the linear dynamics of the film for arbitrary slip lengths.