Predicting shape and stability of air-water interface on superhydrophobic surfaces with randomly distributed, dissimilar posts

被引:46
|
作者
Emami, B. [1 ]
Tafreshi, H. Vahedi [1 ]
Gad-el-Hak, M. [1 ]
Tepper, G. C. [1 ]
机构
[1] Virginia Commonwealth Univ, Dept Mech & Nucl Engn, Richmond, VA 23284 USA
关键词
CONTACT-ANGLE; SESSILE DROPS; LIQUID; MENISCUS; PRESSURE; HEIGHT;
D O I
10.1063/1.3590268
中图分类号
O59 [应用物理学];
学科分类号
摘要
A mathematical framework developed to calculate the shape of the air-water interface and predict the stability of a microfabricated superhydrophobic surface with randomly distributed posts of dissimilar diameters and heights is presented. Using the Young-Laplace equation, a second-order partial differential equation is derived and solved numerically to obtain the shape of the interface, and to predict the critical hydrostatic pressure at which the superhydrophobicity vanishes in a submersed surface. Two examples are given for demonstration of the method's capabilities and accuracy. (C) 2011 American Institute of Physics. [doi: 10.1063/1.3590268]
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页数:3
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