Thin film dynamics in coating problems using Onsager principle
Thin film dynamics in coating problems using Onsager principle
复制标题
使用 Onsager 原理解决涂层问题的薄膜动力学
DOI：
10.1088/1674-1056/27/2/024501
复制
发表时间：
2018
影响因子：
1.7
通讯作者：
Masao Doi
中科院分区：
文献类型：
--
作者：
邸亚娜;许现民;周嘉嘉;Masao Doi
提出了一种新的变分方法来研究液体通过固定的狭缝输送到移动的基底上的涂覆流中的薄膜的动力学。本文还导出了一个简化的常微分方程组，用于描述在涂层前沿后厚度渐近恒定的薄膜的演化过程。我们计算了相图和膜的轮廓，并从理论上近似了膜的厚度，发现与著名的标度律一致。
A new variational method is proposed to investigate the dynamics of the thin film in a coating flow where a liquid is delivered through a fixed slot gap onto a moving substrate. A simplified ODE system has also been derived for the evolution of the thin film whose thicknessis asymptotically constant behind the coating front. We calculate the phase diagram as well as the film profiles and approximate the film thickness theoretically, and agreement with the well-known scaling law asis found.