A note on the effective slip properties for microchannel flows with ultra-hydrophobic surfaces

Date

4/23/2007

Journal Title

Journal ISSN

Volume Title

Publisher

The Physics of Fluids

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.

Description

Keywords

Mathematical modeling, Gas liquid interfaces, Hydrostatics, Quasi one dimensional flows, Partial differential equations, Air-water interface

Citation

Copyright 2007 Physics of Fluids. Recommended citation: Sbragaglia, Mauro, and Andrea Prosperetti. "A note on the effective slip properties for microchannel flows with ultrahydrophobic surfaces." Physics of Fluids 19, no. 4 (2007): 043603. DOI: 10.1063/1.2716438 URL: https://aip.scitation.org/doi/abs/10.1063/1.2716438 Reproduced in accordance with the original publisher’s licensing terms and with permission from the author(s).