A note on the effective slip properties for microchannel flows with ultrahydrophobic surfaces

2006/11/04 by Mauro Sbragaglia, Andrea Prosperetti, Andréa Prosperetti · 7 citations
Engineering · Materials Science · Physics and Astronomy · #Fluid Dynamics and Heat Transfer #Fluid Dynamics and Thin Films #Surface Modification and Superhydrophobicity #cond-mat.soft #nlin.SI #physics.flu-dyn

paper · pdf · doi:10.1063/1.2716438

published as Phys. Fluids 19, 043603 (2007) · 19 pages, 5 figures

arxiv created 2006/11/04 · openalex publication_date 2007/04/01 · arxiv updated 2009/12/01 · openalex created_date 2020/11/23 · openalex updated_date 2026/07/28

Abstract

A type of superhydrophobic surface consists of a solid plane boundary with an array of grooves which, due to the effect of surface tension, prevent a complete wetting of the wall. The effect is greatest when the grooves are aligned with the flow. The pressure difference between the liquid and the gas in the grooves causes a curvature of the liquid surface resisted by surface tension. The effects of this surface deformation are studied in this paper. The corrections to the effective slip length produced by the curvature are analyzed theoretically and a comparison with available data and related mathematical models is presented.

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