Mechanical Engineering Commons^™

Predicting Shape And Stability Of Air–Water Interface On Superhydrophobic Surfaces With Randomly Distributed, Dissimilar Posts, B. Emami, Hooman Vahedi Tafreshi, M. Gad-El-Hak, Gary C. Tepper

Mechanical and Nuclear Engineering Publications

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.