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Article: Stokes shear flow over a grating: Implications for superhydrophobic slip

TitleStokes shear flow over a grating: Implications for superhydrophobic slip
Authors
Issue Date2009
PublisherAmerican Institute of Physics. The Journal's web site is located at http://ojps.aip.org/phf
Citation
Physics Of Fluids, 2009, v. 21 n. 1 How to Cite?
AbstractA semianalytical model based on the method of eigenfunction expansions and domain decomposition is developed for Stokes shear flow over a grating composed of a periodic array of parallel slats, with finite slippage on solid surfaces and infinite slippage on the bottom of troughs mimicking a no-shear liquid-gas interface penetrating into the space between slats. The model gives the macroscopic slip lengths for flow parallel or normal to the slats in terms of the microscopic slip length of the liquid-solid interface, area fraction of the no-shear liquid-gas interface, and depth of the liquid-gas interface in the grooves. When the no-shear interface lies flat on the top of the slats, the macroscopic slip lengths are the maximum and can be estimated with reasonably good accuracy by simple formulas. However, the slip lengths, particularly the transverse one, are very sensitive to penetration of the no-shear interface into the grooves. They can be reduced by a large factor when the interface just slightly gets into the grooves. On comparing with some molecular-dynamics simulation measures, it is pointed out that the applied pressure, which has to be less than the capillary pressure in the superhydrophobic state, can be correlated with the penetration depth of the no-shear interface. © 2009 American Institute of Physics.
Persistent Identifierhttp://hdl.handle.net/10722/59128
ISSN
2015 Impact Factor: 2.017
2015 SCImago Journal Rankings: 1.036
ISI Accession Number ID
Funding AgencyGrant Number
University of Hong Kong200807176081
William M. W. Mong Engineering Research Fund of the University of Hong Kong
Funding Information:

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 No. 200807176081. The authors also thank the referees for their comments which have helped improve this paper.

References

 

DC FieldValueLanguage
dc.contributor.authorNg, COen_HK
dc.contributor.authorWang, CYen_HK
dc.date.accessioned2010-05-31T03:43:20Z-
dc.date.available2010-05-31T03:43:20Z-
dc.date.issued2009en_HK
dc.identifier.citationPhysics Of Fluids, 2009, v. 21 n. 1en_HK
dc.identifier.issn1070-6631en_HK
dc.identifier.urihttp://hdl.handle.net/10722/59128-
dc.description.abstractA semianalytical model based on the method of eigenfunction expansions and domain decomposition is developed for Stokes shear flow over a grating composed of a periodic array of parallel slats, with finite slippage on solid surfaces and infinite slippage on the bottom of troughs mimicking a no-shear liquid-gas interface penetrating into the space between slats. The model gives the macroscopic slip lengths for flow parallel or normal to the slats in terms of the microscopic slip length of the liquid-solid interface, area fraction of the no-shear liquid-gas interface, and depth of the liquid-gas interface in the grooves. When the no-shear interface lies flat on the top of the slats, the macroscopic slip lengths are the maximum and can be estimated with reasonably good accuracy by simple formulas. However, the slip lengths, particularly the transverse one, are very sensitive to penetration of the no-shear interface into the grooves. They can be reduced by a large factor when the interface just slightly gets into the grooves. On comparing with some molecular-dynamics simulation measures, it is pointed out that the applied pressure, which has to be less than the capillary pressure in the superhydrophobic state, can be correlated with the penetration depth of the no-shear interface. © 2009 American Institute of Physics.en_HK
dc.languageengen_HK
dc.publisherAmerican Institute of Physics. The Journal's web site is located at http://ojps.aip.org/phfen_HK
dc.relation.ispartofPhysics of Fluidsen_HK
dc.rightsPhysics of Fluids. Copyright © American Institute of Physics.en_HK
dc.titleStokes shear flow over a grating: Implications for superhydrophobic slipen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=1070-6631&volume=21&issue=1&spage=013602&epage=&date=2009&atitle=Stokes+shear+flow+over+a+grating:+implications+for+superhydrophobic+slipen_HK
dc.identifier.emailNg, CO:cong@hku.hken_HK
dc.identifier.authorityNg, CO=rp00224en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1063/1.3068384en_HK
dc.identifier.scopuseid_2-s2.0-59649120123en_HK
dc.identifier.hkuros154326en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-59649120123&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume21en_HK
dc.identifier.issue1en_HK
dc.identifier.eissn1089-7666-
dc.identifier.isiWOS:000262968700012-
dc.publisher.placeUnited Statesen_HK
dc.identifier.scopusauthoridNg, CO=7401705594en_HK
dc.identifier.scopusauthoridWang, CY=16485278000en_HK

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