摘要
三相接触线上的线张力对微纳米尺度液滴的粘附行为有至关重要的影响.首次在由表面张力、线张力和液滴尺度组成的全参数空间中研究了液滴粘附的非线性行为.研究表明:液滴粘附解空间可以被归纳为4个特征区;在每个特征区内,液滴的粘附行为是相同的;在具有高度非线性的特征区中,给定材料体系,存在着多重粘附态;液滴粘附解空间中存在着两个公共不动点.这些新结果,与数值计算和实验观测相符合.
Three-phase line tensions may become crucial in the adhesion of micro-nano or small droplets on solid planes. For the first time the nonlinear effects in adhesion spanned the full physically possible parameter ranges of surface tensions, line tensions, and droplet sizes are studied. It is shown that the nonlinear adhesion solution spaces can be characterized into four districts. Within each district the adhesion behaves essentially the same. Especially, inside the characteristic districts with violent nonlinearities, the co-existence of multiple adhesion states for given materials is disclosed. Besides, two common fixed points in the solution space are revealed. The above new results are consistent with numerical analysis and experimental observations in the literatures.
出处
《应用数学和力学》
EI
CSCD
北大核心
2008年第10期1135-1146,共12页
Applied Mathematics and Mechanics
基金
国家自然科学基金资助项目(10572076
10672089)
