Some exact properties of the effective slip over surfaces with hydrophobic patternings
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Kamrin_Some exact.pdf
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Author(s)
Six, Pierre
Kamrin, Kenneth N.
Date Issued
February 2013
Journal
Physics of Fluids
Publisher
American Institute of Physics (AIP)
Citation
Six, Pierre, and Ken Kamrin. Some Exact Properties of the Effective Slip over Surfaces with Hydrophobic Patternings. Physics of Fluids 25(2): 021703, 2013. © 2013 American Institute of Physics
Version
Final published version
Abstract
Shear flows of viscous fluid layers over nonuniformly hydrophobic surfaces are characterized in the far-field by an effective slip velocity, which relates to the applied stress through some mobility tensor characterizing the surface. Here, we identify two methods to determine the mobility tensor for flat surfaces with arbitrary slip-length variations. A family of “Cross Flow Identities” is then analyzed, which equate mobility components of different unidirectional patternings. We also calculate an analytical mobility solution for a family of continuously varying patterns. We validate the results numerically and discuss implications in various limits.
MIT Department
Massachusetts Institute of Technology. Department of Mechanical Engineering
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1063/1.4790536
