分离压作用下波纹状基底上含活性剂液滴铺展稳定性

计算物理 ›› 2015, Vol. 32 ›› Issue (4): 437-448.

分离压作用下波纹状基底上含活性剂液滴铺展稳定性

李春曦, 杨保才, 叶学民

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:2014-06-20 修回日期:2014-09-30 出版日期:2015-07-25 发布日期:2015-07-25
作者简介:李春曦(1973-),女,河北唐山人,博士,副教授,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等方面的教学和研究工作,E-mail:yexuemin@163.com
基金资助:
国家自然科学基金(10972077,11202079);中央高校基本科研业务费专项基金(13MS97)资助项目

Stability of Liquid Droplet Containing Surfactant over Corrugated Topography Surface under Disjoining Pressure

LI Chunxi, YANG Baocai, YE Xuemin

Key Laboratory of Condition Monitoring and Control for Power Plant Equipment, North China Electric Power University, Baoding 071003, China

Received:2014-06-20 Revised:2014-09-30 Online:2015-07-25 Published:2015-07-25

摘要/Abstract

摘要： 针对波纹状基底上含不溶性活性剂液滴的铺展过程,引入受活性剂浓度影响的分离压模型,应用非模态稳定性理论分析液滴铺展稳定性.研究表明:与不计及分离压情形相比,分离压作用下的液滴铺展前沿高度明显下降,液滴铺展速率加快;长波扰动有利于增强液滴的演化稳定性,且随扰动波数增大稳定性增强;然而随短波波数增加,液滴演化稳定性逐渐减弱甚至转变为不稳定;较小波数下(k=3)减小引力强度系数α₁和提高斥力强度系数α₂液滴铺展稳定性增强;而较大波数下(k=30)增大α₁和减小α₂有利于液滴铺展稳定性.

关键词: 活性剂液滴, 非平整基底, 分离压, 非模态稳定性

Abstract: For an insoluble surfactant-laden droplet spreading on corrugated topography,a disjoining pressure model induced by concentration of surfactant was established. Non-model stability theory was carried out to investigate stability of spreading. It indicates that compared with droplet spreading without disjoining pressure,under disjoining pressure advancing front height of droplet reduce apparently and spreading rate increases which improves stability of spreading. Long perturbation wave is conducive to enhance stability of droplet evolution and stability is enhanced with increasing wave number. However,spreading stability trends to deteriorate and even transit to unstable with increasing wave number of short perturbation waves. Reducing attraction strength coefficient α₁ and increasing repulsion strength coefficient α₂ promote spreading stability at small wave number(k=3). In addition,droplet displays more stable spreading with increasing α₁ and decreasing α₂ at large wave number(k=30).

Key words: surfactant-laden droplet, topography surface, disjoining pressure, non-model stability

中图分类号:

TQ423
O363

李春曦, 杨保才, 叶学民. 分离压作用下波纹状基底上含活性剂液滴铺展稳定性[J]. 计算物理, 2015, 32(4): 437-448.

LI Chunxi, YANG Baocai, YE Xuemin. Stability of Liquid Droplet Containing Surfactant over Corrugated Topography Surface under Disjoining Pressure[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2015, 32(4): 437-448.

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