力学学报 ›› 2011, Vol. 43 ›› Issue (4): 699-706.doi: 10.6052/0459-1879-2011-4-lxxb2010-459

• 研究论文 • 上一篇    下一篇

基底弹性对蒸发超薄液膜去润湿过程的影响

李振,胡国辉,周继杰,周哲玮   

  1. 上海市应用数学和力学研究所, 上海市力学在能源工程中的应用重点实验室, 上海大学
  • 收稿日期:2010-07-13 修回日期:2010-10-31 出版日期:2011-07-25 发布日期:2011-07-27
  • 通讯作者: 李振 E-mail:leezhen@shu.edu.cn

Effects of elasticity of substrate on dewetting process of evaporating ultra-thin liquid film

Li Zhen,Hu Guohui,Zhou Jijie,Zhou Zhewei   

  1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai Key Laboratory of Mechanics in Energy and Environmental Engineering, Shanghai University, Shanghai 200072, China
  • Received:2010-07-13 Revised:2010-10-31 Online:2011-07-25 Published:2011-07-27
  • Contact: Li Zhen E-mail:leezhen@shu.edu.cn

摘要: 研究了基底的弹性变形对蒸发超薄膜的稳定性和去润湿动力学过程的影响. 基于长波近 似, 得到了关于液体薄膜厚度的演化方程. 运用线性稳定性理论和数值模拟两种方法, 研究 了基底弹性、范德华力以及液体蒸发等因素对液体薄膜的稳定性和去润湿过程的影响. 研究结果表明增大 基底的弹性系数或者减小液体的表面张力, 都能加速液膜的破碎, 并且能够影响气液界面波 的波长; 液体蒸发能促进气液界面扰动的增长, 有助于液膜的破裂.

关键词: 弹性基底

Abstract: The effects of substrate elasticity on instability and dynamics of the horizontal evaporating ultra-thin liquid film are investigated in the present study. The evolution equation for the thickness of liquid film is derived based on long-wave approximation. The effects of substrate elasticity, Van der Waals forces and evaporation of liquid are examined by both linear stability analysis and numerical simulation. The results indicate that increasing substrate elasticity or decreasing the surface tension of liquid can enhance the development of perturbations, change the wavelength of interfacial wave, and be helpful to the rupture of the liquid film. The evaporation of liquid will promote the instability of film and accelerate the rupture process.

Key words: elastic substrate

中图分类号: 

  • O357.1