平板浸涂过程中的液膜排液影响因素

叶学民; 李明兰; 张湘珊; 杨少东; 李春曦

doi:10.11949/0438-1157.20181207

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平板浸涂过程中的液膜排液影响因素

流体力学与传递现象 | 更新时间：2026-07-24

- 平板浸涂过程中的液膜排液影响因素
- Influencing factors of film drainage of dip-coating process
- 化工学报 2019年70卷第6期页码：2164-2173
- 作者机构：
  
  1.华北电力大学电站设备状态监测与控制教育部重点实验室，河北保定 071003
  2.中国核电工程有限公司，北京 100089
- 作者简介：
  
  叶学民（1973—），男，博士，教授，yexuemin@163.com
  李春曦（1973—），女，博士，教授，leechunxi@163.com
- 基金信息：
  
  国家自然科学基金项目(51876065)
- DOI：10.11949/0438-1157.20181207
  中图分类号： TQ 430.15
- 收稿：2018-10-16，
  
  修回：2019-04-11，
  
  网络首发：2020-06-15，
  
  纸质出版：2019-06-05
- 稿件说明：
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叶学民, 李明兰, 张湘珊, 杨少东, 李春曦. 平板浸涂过程中的液膜排液影响因素[J]. 化工学报, 2019, 70(6): 2164-2173

YE Xuemin, LI Minglan, ZHANG Xiangshan, YANG Shaodong, LI Chunxi. Influencing factors of film drainage of dip-coating process[J]. CIESC Journal, 2019, 70(6): 2164-2173
叶学民, 李明兰, 张湘珊, 杨少东, 李春曦. 平板浸涂过程中的液膜排液影响因素[J]. 化工学报, 2019, 70(6): 2164-2173 DOI： 10.11949/0438-1157.20181207.

YE Xuemin, LI Minglan, ZHANG Xiangshan, YANG Shaodong, LI Chunxi. Influencing factors of film drainage of dip-coating process[J]. CIESC Journal, 2019, 70(6): 2164-2173 DOI： 10.11949/0438-1157.20181207.

摘要

针对一端与活性剂溶液池相接的竖直平板浸涂液膜排液过程，基于润滑理论建立了液膜厚度、活性剂浓度及液膜表面速度的演化方程组，通过数值计算分析了Marangoni效应和表面黏度对液膜排液特征的影响。结果表明，Marangoni效应是影响液膜排液过程的重要因素，可导致液膜厚度增加，随Marangoni效应增强可得到更均匀的液膜。液膜表面速度随表面黏度增大而减小，较大的表面黏度将推迟表面速度逆流现象的发生，但其对膜厚均匀度几乎没有影响。

Abstract

A mathematical model is established to investigate the gravity-driven dra

ining process of a vertical thin liquid film containing insoluble surfactants

where the top of film is assumed to fix to a vertical plate and the bottom of film is connected with a surfactant solution pool. Lubrication theory is used to derive a coupled equation set for describing the evolution of the film thickness

surfactant concentration and surface velocity. The equation set is solved numerically by the FreeFem program based on finite element method. The characteristics of film evolution are examined and the effect of characteristic parameters on the process of film evolution is analyzed. Simulated results indicate that the Marangoni effect is a crucial factor affecting the film drainage process

the strong Marangoni effect

leads to the bodiness of the film thickness. Besides

for large values of

both the film thickness and solute distribution tend to be more uniform. The effect of surface viscosity on the drainage of surfactant film cannot be neglected

the reduction of interfacial viscosity

results in the faster drainage process and the more rapidly decrease of film thickness. However

it has no effect on the uniformity of film thickness.

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references

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