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

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

2006-11-04

arxiv.org/abs/physics/0611042v1

Phys. Fluids 19, 043603 (2007)

Physics

Fluid Dynamics

19 pages, 5 figures

Scientific paper

10.1063/1.2716438

A type of super-hydrophobic 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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