Applied Mathematics and Mechanics (English Edition) ›› 2008, Vol. 29 ›› Issue (10): 1251-1262 .doi: https://doi.org/10.1007/s10483-008-1001-7

• Articles •    下一篇

线张力作用下微纳米尺度液滴的非线性粘附

吕存景;殷雅俊;郑泉水   

  1. 清华大学 航天航空学院 工程力学系,北京100084
  • 收稿日期:2008-09-02 修回日期:1900-01-01 出版日期:2008-10-01 发布日期:2008-10-01
  • 通讯作者: 殷雅俊

Nonlinear effects of line tension in adhesion of small droplets

LV Cun-jing;YIN Ya-jun;ZHENG Quan-shui   

  1. Department of Engineering Mechanics, School of Aerospace, Tsinghua University, Beijing, 100084, P. R. China
  • Received:2008-09-02 Revised:1900-01-01 Online:2008-10-01 Published:2008-10-01
  • Contact: YIN Ya-jun

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。本文首次在由表面张力、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四个特征区;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。

关键词: 微纳米尺度液滴, 粘附, 线张力, 非线性

Abstract: hree-phase line tensions may become crucial in the adhesion of micro-nano or small droplets on solid planes. In this paper we study for the first time the nonlinear effects in adhesion spanning the full range of physically possible parameters of surface tension, line tension, and droplet size. It is shown that the nonlinear adhesion solution spaces can be characterized into four regions. Within each region the adhesion behaves essentially the same. Especially, inside the characteristic regions 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. These new results are consistent with numerical analysis and experimental observations reported in the literatures.

Key words: small droplets, adhesion, line tension, nonlinearities

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