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Article: Apparent slip arising from Stokes shear flow over a bidimensional patterned surface

TitleApparent slip arising from Stokes shear flow over a bidimensional patterned surface
Authors
KeywordsApparent slip
Method of eigenfunction expansions
Micropatterns
Issue Date2010
PublisherSpringer Verlag. The Journal's web site is located at http://www.springeronline.com/sgw/cda/frontpage/0,11855,5-10027-70-28985103-0,00.html
Citation
Microfluidics And Nanofluidics, 2010, v. 8 n. 3, p. 361-371 How to Cite?
AbstractA mathematical model is presented for the problem of apparent slip arising from Stokes shear flow over a composite surface featuring mixed boundary conditions on the microscale. The surface can be composed of a bidimensional array of solid areas placed on an otherwise no-shear surface corresponding to an envelope over the tops of posts, or no-shear areas placed on an otherwise solid surface corresponding to an envelope over the tops of holes. Posts and holes of circular or square cross section, and solid areas of no-slip or partial-slip types are studied. Following some previously proposed scaling laws, the effective slip length is expressed as a certain function of the solid fraction for some specific cases. More refined equations based on linear regression of the computed results are obtained for these cases. Amounts of slippage arising from these bidimensional patterns are compared with those from the one-dimensional patterns of grooves/grates. It is also shown that a larger slip length can result from an arrangement where the pitch is larger in the spanwise direction than in the streamwise direction. © 2009 Springer-Verlag.
Persistent Identifierhttp://hdl.handle.net/10722/76189
ISSN
2015 Impact Factor: 2.537
2015 SCImago Journal Rankings: 0.852
ISI Accession Number ID
Funding AgencyGrant Number
University of Hong Kong200807176081
Funding Information:

The authors have benefitted from personal communication with Cecile Cottin-Bizonne. The work was initiated by the second author when he was a William Mong Visiting Research Fellow associating with the first author in May, 2008. The financial support by the William M. W. Mong Engineering Research Fund of the University of Hong Kong is gratefully acknowledged. The work was also supported by the University of Hong Kong through the Small Project Funding Scheme under Project Code 200807176081.

References

 

DC FieldValueLanguage
dc.contributor.authorNg, COen_HK
dc.contributor.authorWang, CYen_HK
dc.date.accessioned2010-09-06T07:18:30Z-
dc.date.available2010-09-06T07:18:30Z-
dc.date.issued2010en_HK
dc.identifier.citationMicrofluidics And Nanofluidics, 2010, v. 8 n. 3, p. 361-371en_HK
dc.identifier.issn1613-4982en_HK
dc.identifier.urihttp://hdl.handle.net/10722/76189-
dc.description.abstractA mathematical model is presented for the problem of apparent slip arising from Stokes shear flow over a composite surface featuring mixed boundary conditions on the microscale. The surface can be composed of a bidimensional array of solid areas placed on an otherwise no-shear surface corresponding to an envelope over the tops of posts, or no-shear areas placed on an otherwise solid surface corresponding to an envelope over the tops of holes. Posts and holes of circular or square cross section, and solid areas of no-slip or partial-slip types are studied. Following some previously proposed scaling laws, the effective slip length is expressed as a certain function of the solid fraction for some specific cases. More refined equations based on linear regression of the computed results are obtained for these cases. Amounts of slippage arising from these bidimensional patterns are compared with those from the one-dimensional patterns of grooves/grates. It is also shown that a larger slip length can result from an arrangement where the pitch is larger in the spanwise direction than in the streamwise direction. © 2009 Springer-Verlag.en_HK
dc.languageengen_HK
dc.publisherSpringer Verlag. The Journal's web site is located at http://www.springeronline.com/sgw/cda/frontpage/0,11855,5-10027-70-28985103-0,00.htmlen_HK
dc.relation.ispartofMicrofluidics and Nanofluidicsen_HK
dc.rightsThe original publication is available at www.springerlink.com-
dc.subjectApparent slipen_HK
dc.subjectMethod of eigenfunction expansionsen_HK
dc.subjectMicropatternsen_HK
dc.titleApparent slip arising from Stokes shear flow over a bidimensional patterned surfaceen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=1613-4982&volume=8&issue=3&spage=361&epage=371&date=2010&atitle=Apparent+slip+arising+from+Stokes+shear+flow+over+a+bidimensional+patterned+surfaceen_HK
dc.identifier.emailNg, CO:cong@hku.hken_HK
dc.identifier.authorityNg, CO=rp00224en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1007/s10404-009-0466-xen_HK
dc.identifier.scopuseid_2-s2.0-77649234807en_HK
dc.identifier.hkuros168826en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-77649234807&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume8en_HK
dc.identifier.issue3en_HK
dc.identifier.spage361en_HK
dc.identifier.epage371en_HK
dc.identifier.eissn1613-4990-
dc.identifier.isiWOS:000274212700006-
dc.publisher.placeGermanyen_HK
dc.identifier.scopusauthoridNg, CO=7401705594en_HK
dc.identifier.scopusauthoridWang, CY=16485278000en_HK
dc.identifier.citeulike5117227-

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