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Issue 18, 2010
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Hydrodynamic interaction with super-hydrophobic surfaces

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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

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Publication details

The article was received on 05 Apr 2010, accepted on 22 Jun 2010 and first published on 09 Aug 2010


Article type: Paper
DOI: 10.1039/C0SM00205D
Citation: Soft Matter, 2010,6, 4563-4570
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    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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