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Article: Starting flow in channels with boundary slip

TitleStarting flow in channels with boundary slip
Authors
Issue Date2017
PublisherSpringer Verlag Dordrecht. The Journal's web site is located at http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0025-6455
Citation
Meccanica, 2017, v. 52 n. 1, p. 45-67 How to Cite?
AbstractThis paper contains a collection of problems and their analytical solutions for starting flows under the effect of boundary slip in channels of various geometries. The start-up flows examined in this work include: (1) plane Couette flow between two plates, (2) rotary Couette flow between two coaxial cylinders, (3) Poiseuille flow through a parallel-plate channel, (4) Poiseuille flow through a rectangular channel, (5) Poiseuille flow through a circular channel, and (6) Poiseuille flow through an annulus. It is first shown that, using a depletion layer to model the effective slip, the slip length may attain its steady state much faster than the starting flow will do. This supports the use of a constant Navier slip length in the present problems. Transient solutions are derived in the form of eigenfunction expansions, where the eigenvalues are determined, by solving the characteristic equations numerically, as a function of the channel geometry and the slip lengths. From the leading eigenvalue, it is found that the boundary slip will in general lengthen the transient period of a starting flow.
Persistent Identifierhttp://hdl.handle.net/10722/229235
ISSN
2015 Impact Factor: 1.828
2015 SCImago Journal Rankings: 0.835

 

DC FieldValueLanguage
dc.contributor.authorNg, CO-
dc.date.accessioned2016-08-23T14:09:49Z-
dc.date.available2016-08-23T14:09:49Z-
dc.date.issued2017-
dc.identifier.citationMeccanica, 2017, v. 52 n. 1, p. 45-67-
dc.identifier.issn0025-6455-
dc.identifier.urihttp://hdl.handle.net/10722/229235-
dc.description.abstractThis paper contains a collection of problems and their analytical solutions for starting flows under the effect of boundary slip in channels of various geometries. The start-up flows examined in this work include: (1) plane Couette flow between two plates, (2) rotary Couette flow between two coaxial cylinders, (3) Poiseuille flow through a parallel-plate channel, (4) Poiseuille flow through a rectangular channel, (5) Poiseuille flow through a circular channel, and (6) Poiseuille flow through an annulus. It is first shown that, using a depletion layer to model the effective slip, the slip length may attain its steady state much faster than the starting flow will do. This supports the use of a constant Navier slip length in the present problems. Transient solutions are derived in the form of eigenfunction expansions, where the eigenvalues are determined, by solving the characteristic equations numerically, as a function of the channel geometry and the slip lengths. From the leading eigenvalue, it is found that the boundary slip will in general lengthen the transient period of a starting flow.-
dc.languageeng-
dc.publisherSpringer Verlag Dordrecht. The Journal's web site is located at http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0025-6455-
dc.relation.ispartofMeccanica-
dc.rightsThe final publication is available at Springer via http://dx.doi.org/10.1007/s11012-016-0384-4-
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.titleStarting flow in channels with boundary slip-
dc.typeArticle-
dc.identifier.emailNg, CO: cong@hku.hk-
dc.identifier.authorityNg, CO=rp00224-
dc.description.naturepostprint-
dc.identifier.doi10.1007/s11012-016-0384-4-
dc.identifier.hkuros260357-
dc.identifier.volume52-
dc.identifier.issue1-
dc.identifier.spage45-
dc.identifier.epage67-
dc.publisher.placeNetherlands-

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