计算物理 ›› 2011, Vol. 28 ›› Issue (6): 843-852.

• 研究论文 • 上一篇    下一篇

壁面结构对非定常薄膜流动表面波特性的影响

朴明日, 胡国辉   

  1. 上海大学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 200072
  • 收稿日期:2010-11-15 修回日期:2011-02-08 出版日期:2011-11-25 发布日期:2011-11-25
  • 通讯作者: 胡国辉,E-mail:ghhu@staff.shu.edu.cn
  • 作者简介:朴明日(1972-),男,朝鲜平壤,主要从事流体界面稳定性和数值模拟研究,E-mail.,pakmil972@yahoo.con.cn
  • 基金资助:
    国家自然科学基金(10872122);教育部长江学者创新团队(IRT0844);教育部博士点基金(20103108110004);上海市科委重大项目(10dz2212600)资助项目

Influences of Wall Topography on Unsteady Free Surface Waves in Film Flow

PAK Myong-Il, HU Guohui   

  1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai Key Laboratory of Mechanics in Energy and Environment Engineering, Shanghai 200072, China
  • Received:2010-11-15 Revised:2011-02-08 Online:2011-11-25 Published:2011-11-25

摘要: 采用VOF方法,在入口处引入周期扰动,对沿矩形结构底板下落的二维非定常薄膜流动进行直接数值模拟.计算结果表明,不同频率的外加周期扰动在流场中激发出不同波长的自由表面波.当壁面结构的波长与之相比较小时,由于壁面结构引起的静态波骑行在外加扰动形成的行进波上.若这两个波长相近,非线性效应将促进附近的表面波之间的合并.当薄膜无量纲厚度为0.26时,壁面结构的波长和频率为f=7 Hz的周期扰动激发的表面波波长相同,流场中出现共振现象.探讨了壁面结构对液膜流动结构的影响,发现表面波相速度随着壁面深度的增加而减小.

关键词: 薄膜流动, 表面波, VOF方法

Abstract: Two-dimensional unsteady failing film flows,with periodic perturbations at inlet。along a substrate with rectangular corrugations are studied numerically by using VOF method.It indicates that imposed periodic perturbations with different frequencies induce traveling surface waves with different wavelengths.As wavelength of structured wall is relatively short,it is found that the static deformed waves due to corrugations ride on the progressive wave resulted from imposed external perturbations.If these two wavelengths become close to each other.nonlinear effect promotes coalescence between neighboring surface waves.At a dimensionless film height 0.26,wavelength of wall equals to that of progressive wave at a perturbed frequency f=7 Hz,resonant phenomenon is observed in film flow.Additionally,we discuss effect of corrugations on structure of film flow field,and find that the phase velocity decreases as the trough depth of wall increased.

Key words: film flow, surface Wave, VOF method

中图分类号: