Issue 18, 2010

Hydrodynamic interaction with super-hydrophobic surfaces

Abstract

Patterned surfaces with large effective slip lengths, such as super-hydrophobic surfaces containing trapped gas bubbles, have the potential to reduce hydrodynamic drag. Based on lubrication theory, we analyze an approach of a hydrophilic disk to such a surface. The drag force is predicted analytically and formulated in terms of a correction function to the Reynolds equation, which is shown to be the harmonic mean of corrections expressed through effective slip lengths in the two principal (fastest and slowest) orthogonal directions. The reduction of drag is especially pronounced for a thin (compared to texture characteristic length) gap. It is not really sensitive to the pattern geometry, but depends strongly on the fraction of the gas phase and local slip length at the gas area.

Graphical abstract: Hydrodynamic interaction with super-hydrophobic surfaces

Article information

Article type
Paper
Submitted
05 Apr 2010
Accepted
22 Jun 2010
First published
09 Aug 2010

Soft Matter, 2010,6, 4563-4570

Hydrodynamic interaction with super-hydrophobic surfaces

A. V. Belyaev and O. I. Vinogradova, Soft Matter, 2010, 6, 4563 DOI: 10.1039/C0SM00205D

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