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Article: Darcy-Brinkman Flow Through a Corrugated Channel

TitleDarcy-Brinkman Flow Through a Corrugated Channel
Authors
KeywordsCorrugated channel
Darcy-Brinkman
Stokes flow
Issue Date2010
PublisherSpringer Verlag Dordrecht. The Journal's web site is located at http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0169-3913
Citation
Transport In Porous Media, 2010, v. 85 n. 2, p. 605-618 How to Cite?
AbstractA perturbation analysis is carried out to the second order to give effective equations for Darcy-Brinkman flow through a porous channel with slightly corrugated walls. The flow is either parallel or normal to the corrugations, and the corrugations of the two walls are either in phase or half-period out of phase. The present study is based on the assumptions that the corrugations are periodic sinusoidal waves of small amplitude, and the channel is filled with a sparse porous medium so that the flow can be described by the Darcy-Brinkman model, which approaches the Darcian or Stokes flow limits for small or large permeability of the medium. The Reynolds number is also assumed to be so low that the nonlinear inertia can be ignored. The effects of the corrugations on the flow are examined, quantitatively and qualitatively, as functions of the flow direction, the phase difference, and the wavelength of the corrugations, as well as the permeability of the channel. It is found that the corrugations will have greater effects when it is nearer the Stokes' flow limit than the Darcian flow limit, and when the wavelength is shorter. For the same wavelength and phase difference, cross flow is more affected than longitudinal flow by the corrugations. Opposite effects can result from 180° out-of-phase corrugations, depending on the flow direction, the wavelength, as well as the permeability. © The Author(s) 2010.
Persistent Identifierhttp://hdl.handle.net/10722/133802
ISSN
2015 Impact Factor: 1.653
2015 SCImago Journal Rankings: 0.759
ISI Accession Number ID
Funding AgencyGrant Number
University of Hong Kong
Research Grants Council of the Hong Kong Special Administrative Region, ChinaHKU 715609E
Funding Information:

The study 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 study was also partly supported by the Research Grants Council of the Hong Kong Special Administrative Region, China, through Project No HKU 715609E

References
Grants

 

DC FieldValueLanguage
dc.contributor.authorNg, COen_HK
dc.contributor.authorWang, CYen_HK
dc.date.accessioned2011-05-31T07:00:02Z-
dc.date.available2011-05-31T07:00:02Z-
dc.date.issued2010en_HK
dc.identifier.citationTransport In Porous Media, 2010, v. 85 n. 2, p. 605-618en_HK
dc.identifier.issn0169-3913en_HK
dc.identifier.urihttp://hdl.handle.net/10722/133802-
dc.description.abstractA perturbation analysis is carried out to the second order to give effective equations for Darcy-Brinkman flow through a porous channel with slightly corrugated walls. The flow is either parallel or normal to the corrugations, and the corrugations of the two walls are either in phase or half-period out of phase. The present study is based on the assumptions that the corrugations are periodic sinusoidal waves of small amplitude, and the channel is filled with a sparse porous medium so that the flow can be described by the Darcy-Brinkman model, which approaches the Darcian or Stokes flow limits for small or large permeability of the medium. The Reynolds number is also assumed to be so low that the nonlinear inertia can be ignored. The effects of the corrugations on the flow are examined, quantitatively and qualitatively, as functions of the flow direction, the phase difference, and the wavelength of the corrugations, as well as the permeability of the channel. It is found that the corrugations will have greater effects when it is nearer the Stokes' flow limit than the Darcian flow limit, and when the wavelength is shorter. For the same wavelength and phase difference, cross flow is more affected than longitudinal flow by the corrugations. Opposite effects can result from 180° out-of-phase corrugations, depending on the flow direction, the wavelength, as well as the permeability. © The Author(s) 2010.en_HK
dc.languageengen_US
dc.publisherSpringer Verlag Dordrecht. The Journal's web site is located at http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0169-3913en_HK
dc.relation.ispartofTransport in Porous Mediaen_HK
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.subjectCorrugated channelen_HK
dc.subjectDarcy-Brinkmanen_HK
dc.subjectStokes flowen_HK
dc.titleDarcy-Brinkman Flow Through a Corrugated Channelen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0169-3913&volume=85&issue=2&spage=605&epage=618&date=2010&atitle=Darcy–Brinkman+flow+through+a+corrugated+channel-
dc.identifier.emailNg, CO:cong@hku.hken_HK
dc.identifier.authorityNg, CO=rp00224en_HK
dc.description.naturepublished_or_final_version-
dc.identifier.doi10.1007/s11242-010-9580-1en_HK
dc.identifier.scopuseid_2-s2.0-78149501069en_HK
dc.identifier.hkuros183430en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-78149501069&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume85en_HK
dc.identifier.issue2en_HK
dc.identifier.spage605en_HK
dc.identifier.epage618en_HK
dc.identifier.eissn1573-1634en_US
dc.identifier.isiWOS:000284973500014-
dc.publisher.placeNetherlandsen_HK
dc.description.otherSpringer Open Choice, 31 May 2011en_US
dc.relation.projectA homogenization-based model for roughness-induced apparent slip-
dc.identifier.scopusauthoridNg, CO=7401705594en_HK
dc.identifier.scopusauthoridWang, CY=16485278000en_HK
dc.identifier.citeulike7048715-

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