计算物理 ›› 2013, Vol. 30 ›› Issue (5): 683-691.

• 论文 • 上一篇    下一篇

不同液膜体系中Marangoni效应对活性剂液滴铺展的影响

叶学民, 姜凯, 李春曦   

  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, 保定 071003
  • 收稿日期:2012-12-31 修回日期:2013-04-26 出版日期:2013-09-25 发布日期:2013-09-25
  • 作者简介:叶学民(1973-),男,博士,教授,主要从事流体力学理论及应用、活性剂铺展过程及流体机械研究,E-mail:yexuemin@163.com
  • 基金资助:
    国家自然科学基金(10972077,11202079)资助项目

Marangoni Effect on Soluble Surfactant Droplet Spreading in Different Spreading Systems

YE Xuemin, JIANG Kai, LI Chunxi   

  1. North China Electric Power University, Key Laboratory of Condition Monitoring and Control for Power Plant Equipment, Baoding 071003, China
  • Received:2012-12-31 Revised:2013-04-26 Online:2013-09-25 Published:2013-09-25

摘要: 针对含可溶性表面活性剂的液滴在预置液膜上的铺展过程,应用润滑理论建立液滴厚度、活性剂表面浓度及内部浓度演化过程的控制方程组,采用PDECOL程序模拟液滴的演化特征,探讨不同液膜体系下Marangoni效应的作用机理,并基于瞬态增长法分析负体系下液滴演化的不稳定性.研究表明,正体系下Marangoni效应可促进活性剂分子扩散,有利于活性剂液滴的稳定铺展;负体系下Marangoni效应则抑制液滴铺展,使液滴在中心区域产生振荡现象,呈现不稳定性特征,且该特征随负效应增强而愈加明显.在正负两种体系下,Marangoni作用力均是促使液滴横向演化的主要驱动力.

关键词: 可溶性活性剂, Marangoni效应, 正体系, 负体系, 稳定性

Abstract: Surfactant driven flows are simulated with three nonlinear partial differential evolution equations for film thickness, surfactant interracial and bulk concentrations based on lubrication theory via PDECOL program numerically, to investigate influence of Marangoni effect in positive, negative and neutral systems. Instability of droplet evolution in negative system is analyzed with method of transient growth analysis. It shows that Marangoni effect plays a positive role in promoting droplets non-uniform spreading and surfactant diffusion in a positive system. A system under negative Marangoni effect exhibits interfacial instability which resulted in spreading inhibited and violent fluctuations occurrence on droplet surface. Instability tends to be more obvious with strengthened effect. Marangoni stress is main driving force in transverse droplet evolution in both positive and negative systems.

Key words: soluble surfactant, Marangoni effect, positive system, negative system, stability

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