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Article: On the effects of liquid-gas interfacial shear on slip flow through a parallel-plate channel with superhydrophobic grooved walls

TitleOn the effects of liquid-gas interfacial shear on slip flow through a parallel-plate channel with superhydrophobic grooved walls
Authors
KeywordsA-plane
Area fraction
Channel height
Coupled models
Depth of groove
Issue Date2010
PublisherAmerican Institute of Physics. The Journal's web site is located at http://ojps.aip.org/phf
Citation
Physics Of Fluids, 2010, v. 22 n. 10 How to Cite?
AbstractComparisons between slip lengths predicted by a liquid-gas coupled model and that by an idealized zero-gas-shear model are presented in this paper. The problem under consideration is pressure-driven flow of a liquid through a plane channel bounded by two superhydrophobic walls which are patterned with longitudinal or transverse gas-filled grooves. Effective slip arises from lubrication on the liquid-gas interface and intrinsic slippage on the solid phase of the wall. In the mathematical models, the velocities are analytically expressed in terms of eigenfunction series expansions, where the unknown coefficients are determined by the matching of velocities and shear stresses on the liquid-gas interface. Results are generated to show the effects due to small but finite gas viscosity on the effective slip lengths as functions of the channel height, the depth of grooves, the gas area fraction of the wall, and intrinsic slippage of the solid phase. Conditions under which even a gas/liquid viscosity ratio as small as 0.01 may have appreciable effects on the slip lengths are discussed. © 2010 American Institute of Physics.
Persistent Identifierhttp://hdl.handle.net/10722/129269
ISSN
2015 Impact Factor: 2.017
2015 SCImago Journal Rankings: 1.036
ISI Accession Number ID
Funding AgencyGrant Number
Research Grants Council of the Hong Kong Special Administrative Region, ChinaHKU 715609E
University of Hong Kong200807176081
Seed Funding Programme for Basic Research200911159024
Funding Information:

The work was supported by the Research Grants Council of the Hong Kong Special Administrative Region, China, through Project No. HKU 715609E, and also by the University of Hong Kong through the Small Project Funding Scheme under Project Code No. 200807176081, and the Seed Funding Programme for Basic Research under Project Code No. 200911159024.

References
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DC FieldValueLanguage
dc.contributor.authorNg, COen_HK
dc.contributor.authorChu, HCWen_HK
dc.contributor.authorWang, CYen_HK
dc.date.accessioned2010-12-23T08:34:26Z-
dc.date.available2010-12-23T08:34:26Z-
dc.date.issued2010en_HK
dc.identifier.citationPhysics Of Fluids, 2010, v. 22 n. 10en_HK
dc.identifier.issn1070-6631en_HK
dc.identifier.urihttp://hdl.handle.net/10722/129269-
dc.description.abstractComparisons between slip lengths predicted by a liquid-gas coupled model and that by an idealized zero-gas-shear model are presented in this paper. The problem under consideration is pressure-driven flow of a liquid through a plane channel bounded by two superhydrophobic walls which are patterned with longitudinal or transverse gas-filled grooves. Effective slip arises from lubrication on the liquid-gas interface and intrinsic slippage on the solid phase of the wall. In the mathematical models, the velocities are analytically expressed in terms of eigenfunction series expansions, where the unknown coefficients are determined by the matching of velocities and shear stresses on the liquid-gas interface. Results are generated to show the effects due to small but finite gas viscosity on the effective slip lengths as functions of the channel height, the depth of grooves, the gas area fraction of the wall, and intrinsic slippage of the solid phase. Conditions under which even a gas/liquid viscosity ratio as small as 0.01 may have appreciable effects on the slip lengths are discussed. © 2010 American Institute of Physics.en_HK
dc.languageengen_US
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.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.rightsPhysics of Fluids. Copyright © American Institute of Physics.-
dc.rightsCopyright (2010) American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in Physics of Fluids, vol. 22, issue 10 and may be found at http://pof.aip.org/resource/1/phfle6/v22/i10/p102002_s1-
dc.subjectA-plane-
dc.subjectArea fraction-
dc.subjectChannel height-
dc.subjectCoupled models-
dc.subjectDepth of groove-
dc.titleOn the effects of liquid-gas interfacial shear on slip flow through a parallel-plate channel with superhydrophobic grooved wallsen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=1070-6631&volume=22&issue=10 article no. 102002&spage=&epage=&date=2010&atitle=On+the+effects+of+liquid-gas+interfacial+shear+on+slip+flow+through+a+parallel-plate+channel+with+superhydrophobic+grooved+walls-
dc.identifier.emailNg, CO:cong@hku.hken_HK
dc.identifier.authorityNg, CO=rp00224en_HK
dc.description.naturepublished_or_final_version-
dc.identifier.doi10.1063/1.3493641en_HK
dc.identifier.scopuseid_2-s2.0-79251548003en_HK
dc.identifier.hkuros183428en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-79251548003&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume22en_HK
dc.identifier.issue10en_HK
dc.identifier.isiWOS:000283748900004-
dc.publisher.placeUnited Statesen_HK
dc.relation.projectA homogenization-based model for roughness-induced apparent slip-
dc.identifier.scopusauthoridNg, CO=7401705594en_HK
dc.identifier.scopusauthoridChu, HCW=36968515700en_HK
dc.identifier.scopusauthoridWang, CY=7501647666en_HK
dc.identifier.citeulike8150633-

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