Nonlinear Effects of Line Tension in Adhesion of Small Droplets

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

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Article Navigation > Applied Mathematics and Mechanics > 2008 > 29(10): 1135-1146

LÜ Cun-jing, YIN Ya-jun, ZHENG Quan-shui. Nonlinear Effects of Line Tension in Adhesion of Small Droplets[J]. Applied Mathematics and Mechanics, 2008, 29(10): 1135-1146.

Citation:

LÜ Cun-jing, YIN Ya-jun, ZHENG Quan-shui. Nonlinear Effects of Line Tension in Adhesion of Small Droplets[J]. Applied Mathematics and Mechanics, 2008, 29(10): 1135-1146.

Citation:

LÜ Cun-jing, YIN Ya-jun, ZHENG Quan-shui. Nonlinear Effects of Line Tension in Adhesion of Small Droplets[J]. Applied Mathematics and Mechanics, 2008, 29(10): 1135-1146.

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Nonlinear Effects of Line Tension in Adhesion of Small Droplets

Department of Engineering Mechanics, School of Aerospace, Tsinghua University, Beijing 100084, P. R. China

Received Date: 2008-09-02
Rev Recd Date: 2008-09-16
Publish Date: 2008-10-15

Abstract

Abstract

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.
- small droplets,
- adhesion,
- line tension,
- nonlinearity

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References(47)

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