物理学报Issue(15)：1-8,8.DOI:10.7498/aps.63.154702
非平整基底上受热液膜流动稳定性研究*
Stability of heated liquid film on an uneven substrate
摘要
Abstract
This paper studies mainly the evolution and linear stability of the nonlinear surface waves of a two-dimensional viscous liquid film along an uneven inclined non-uniformly heated wall. A long wave perturbation method is used to derive zero- and first-order evolutions equations of the nonlinear surface wave flowing on an uneven substrate. Based on the obtained evolution equations, the diagram of evolution progress for film surface wave on a sinusoidal corrugated substrate is drawn, the linear stability analysis is also studied, and the effect of various parameters on the flow stability of liquid membrane is analysed. Theoretical results demonstrate that the free surface of the film shows sine wave and has the same frequency as the substrate, and the film thickness will decrease gradually along the flow direction. Marangoni number gives a stabilizing effect, the stable zone increases with the increase of Marangoni number. While, Peclet number and the angle theta are unstable factors, the stable region decreases with the increase of them. Besides, the trends that Marangoni number, Peclet number and angle theta may impact on the stability of the film whice are consistent with one another, so a liquid film is easy to destabilize at the trough of the substrate.关键词
非平整基底/受热液膜/非线性表面波/线性稳定性Key words
uneven substrate/heated liquid film/nonlinear surface wave/linear stability引用本文复制引用
刘梅,王松岭,吴正人..非平整基底上受热液膜流动稳定性研究*[J].物理学报,2014,(15):1-8,8.基金项目
高等学校博士学科点专项科研基金(批准号:20110036110009)资助的课题 （批准号:20110036110009）
