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Article: Effective slip for Stokes flow over a surface patterned with two- or three-dimensional protrusions

TitleEffective slip for Stokes flow over a surface patterned with two- or three-dimensional protrusions
Authors
Keywords3d flow
Dilute limit
Partial slip
Phenomenological equations
Protrusion angle
Issue Date2011
PublisherInstitute of Physics Publishing Ltd. The Journal's web site is located at http://www.iop.org/journals/fdr
Citation
Fluid Dynamics Research, 2011, v. 43 n. 6 How to Cite?
AbstractEffective slip lengths are obtained, using semi-analytic methods, for Stokes flows over a surface that is patterned with a periodic array of two-dimensional (2D) cylindrical or 3D spherical protrusions. The protruding surface can be perfect- or non-slipping, corresponding to a bubble mattress or a rough boundary. For longitudinal and transverse flows over cylindrical bumps and 3D flow over a square array of spherical bumps, the effective slip length is obtained as a function of the protrusion angle, the area fraction of surface covered by protrusions and the partial slip length of the protruding surface. The results are compared with analytical dilute limits in order to ascertain the range of validity of these limits. Phenomenological equations are also derived to enable a quick evaluation of the slip length for some particular values of the protrusion angle at which the slip length is maximum in magnitude. © 2011 The Japan Society of Fluid Mechanics and IOP Publishing Ltd.
Persistent Identifierhttp://hdl.handle.net/10722/143369
ISSN
2015 Impact Factor: 0.846
2015 SCImago Journal Rankings: 0.463
ISI Accession Number ID
Funding AgencyGrant Number
Research Grants Council of the Hong Kong Special Administrative Region, ChinaHKU 715609E
HKU 715510E
University of Hong Kong200911159024
Funding Information:

This work was initiated when the second author visited the University of Hong Kong in June 2010. Financial support from the Research Grants Council of the Hong Kong Special Administrative Region, China, through project numbers HKU 715609E and HKU 715510E and from the University of Hong Kong through the Seed Funding Programme for Basic Research under project code 200911159024 is acknowledged. Detailed comments of the referees are gratefully acknowledged.

References
Grants

 

DC FieldValueLanguage
dc.contributor.authorNg, COen_HK
dc.contributor.authorWang, CYen_HK
dc.date.accessioned2011-11-24T10:03:59Z-
dc.date.available2011-11-24T10:03:59Z-
dc.date.issued2011en_HK
dc.identifier.citationFluid Dynamics Research, 2011, v. 43 n. 6en_HK
dc.identifier.issn0169-5983en_HK
dc.identifier.urihttp://hdl.handle.net/10722/143369-
dc.description.abstractEffective slip lengths are obtained, using semi-analytic methods, for Stokes flows over a surface that is patterned with a periodic array of two-dimensional (2D) cylindrical or 3D spherical protrusions. The protruding surface can be perfect- or non-slipping, corresponding to a bubble mattress or a rough boundary. For longitudinal and transverse flows over cylindrical bumps and 3D flow over a square array of spherical bumps, the effective slip length is obtained as a function of the protrusion angle, the area fraction of surface covered by protrusions and the partial slip length of the protruding surface. The results are compared with analytical dilute limits in order to ascertain the range of validity of these limits. Phenomenological equations are also derived to enable a quick evaluation of the slip length for some particular values of the protrusion angle at which the slip length is maximum in magnitude. © 2011 The Japan Society of Fluid Mechanics and IOP Publishing Ltd.en_HK
dc.languageengen_US
dc.publisherInstitute of Physics Publishing Ltd. The Journal's web site is located at http://www.iop.org/journals/fdren_HK
dc.relation.ispartofFluid Dynamics Researchen_HK
dc.rightsFluid Dynamics Research. Copyright © Institute of Physics Publishing Ltd.-
dc.subject3d flow-
dc.subjectDilute limit-
dc.subjectPartial slip-
dc.subjectPhenomenological equations-
dc.subjectProtrusion angle-
dc.titleEffective slip for Stokes flow over a surface patterned with two- or three-dimensional protrusionsen_HK
dc.typeArticleen_HK
dc.identifier.emailNg, CO:cong@hku.hken_HK
dc.identifier.authorityNg, CO=rp00224en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1088/0169-5983/43/6/065504en_HK
dc.identifier.scopuseid_2-s2.0-82255189726en_HK
dc.identifier.hkuros197732en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-82255189726&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume43en_HK
dc.identifier.issue6en_HK
dc.identifier.isiWOS:000298037400004-
dc.publisher.placeUnited Kingdomen_HK
dc.relation.projectA homogenization-based model for roughness-induced apparent slip-
dc.relation.projectElectrohydrodynamic slip flow through a channel with micropatterned surfaces-
dc.identifier.scopusauthoridNg, CO=7401705594en_HK
dc.identifier.scopusauthoridWang, CY=7501647666en_HK
dc.identifier.citeulike11148596-

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