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李振 胡国辉 周继杰 周哲玮. 基底弹性对蒸发超薄液膜去润湿过程的影响[J]. 力学学报, 2011, 43(4): 699-706. DOI: 10.6052/0459-1879-2011-4-lxxb2010-459
引用本文: 李振 胡国辉 周继杰 周哲玮. 基底弹性对蒸发超薄液膜去润湿过程的影响[J]. 力学学报, 2011, 43(4): 699-706. DOI: 10.6052/0459-1879-2011-4-lxxb2010-459
Li Zhen Hu Guohui Zhou Jijie Zhou Zhewei. Effects of elasticity of substrate on dewetting process of evaporating ultra-thin liquid film[J]. Chinese Journal of Theoretical and Applied Mechanics, 2011, 43(4): 699-706. DOI: 10.6052/0459-1879-2011-4-lxxb2010-459
Citation: Li Zhen Hu Guohui Zhou Jijie Zhou Zhewei. Effects of elasticity of substrate on dewetting process of evaporating ultra-thin liquid film[J]. Chinese Journal of Theoretical and Applied Mechanics, 2011, 43(4): 699-706. DOI: 10.6052/0459-1879-2011-4-lxxb2010-459

基底弹性对蒸发超薄液膜去润湿过程的影响

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

  • 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.

     

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

     

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