Abstract
This paper addresses shear flows over a superhydrophobic grating made up of a periodic array of grooves separated by solid slats, with air bubbles trapped in the grooves. At large pressures, the liquid partially invades the grooves, and the menisci are no longer pinned at the edges of the slats. Asymptotic methods and conformal maps are used to derive approximations for the slip length in the limit of small solid fractions.
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