Some exact properties of the effective slip over surfaces with hydrophobic patternings

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...

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Main Authors: Six, Pierre, Kamrin, Kenneth N.
Other Authors: Massachusetts Institute of Technology. Department of Mechanical Engineering
Format: Article
Language:en_US
Published: American Institute of Physics (AIP) 2013
Online Access:http://hdl.handle.net/1721.1/78878
https://orcid.org/0000-0002-5154-9787
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author Six, Pierre
Kamrin, Kenneth N.
author2 Massachusetts Institute of Technology. Department of Mechanical Engineering
author_facet Massachusetts Institute of Technology. Department of Mechanical Engineering
Six, Pierre
Kamrin, Kenneth N.
author_sort Six, Pierre
collection MIT
description 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.
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spelling mit-1721.1/788782022-09-27T09:48:38Z Some exact properties of the effective slip over surfaces with hydrophobic patternings Six, Pierre Kamrin, Kenneth N. Massachusetts Institute of Technology. Department of Mechanical Engineering Kamrin, Kenneth N. 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-France Program 2013-05-14T14:58:32Z 2013-05-14T14:58:32Z 2013-02 2012-11 Article http://purl.org/eprint/type/JournalArticle 1070-6631 1089-7666 http://hdl.handle.net/1721.1/78878 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 https://orcid.org/0000-0002-5154-9787 en_US http://dx.doi.org/10.1063/1.4790536 Physics of Fluids 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. application/pdf American Institute of Physics (AIP) MIT web domain
spellingShingle Six, Pierre
Kamrin, Kenneth N.
Some exact properties of the effective slip over surfaces with hydrophobic patternings
title Some exact properties of the effective slip over surfaces with hydrophobic patternings
title_full Some exact properties of the effective slip over surfaces with hydrophobic patternings
title_fullStr Some exact properties of the effective slip over surfaces with hydrophobic patternings
title_full_unstemmed Some exact properties of the effective slip over surfaces with hydrophobic patternings
title_short Some exact properties of the effective slip over surfaces with hydrophobic patternings
title_sort some exact properties of the effective slip over surfaces with hydrophobic patternings
url http://hdl.handle.net/1721.1/78878
https://orcid.org/0000-0002-5154-9787
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