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

Authors

B. Emami, Virginia Commonwealth University
Hooman Vahedi Tafreshi, Virginia Commonwealth UniversityFollow
M. Gad-el-Hak, Virginia Commonwealth UniversityFollow
Gary C. Tepper, Virginia Commonwealth UniversityFollow

Document Type

Article

Original Publication Date

2011

Journal/Book/Conference Title

Applied Physics Letters

Volume

98

Issue

20

DOI of Original Publication

10.1063/1.3590268

Comments

Originally published at http://dx.doi.org/10.1063/1.3590268

Date of Submission

April 2015

Abstract

A mathematical framework developed to calculate the shape of the air–water interface and predict the stability of a microfabricated superhydrophobicsurface 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.

Rights

Emami, B., Tafreshi, H.V., Gad-el-Hak, M., et al. Predicting shape and stability of air–water interface on superhydrophobic surfaces with randomly distributed, dissimilar posts. Applied Physics Letters, 98, 203106 (2011). Copyright © 2011 AIP Publishing LLC.

Is Part Of

VCU Mechanical and Nuclear Engineering Publications