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Article: Starting flow in channels with boundary slip

TitleStarting flow in channels with boundary slip
Authors
Issue Date2016
Citation
Meccanica, 2016 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

 

DC FieldValueLanguage
dc.contributor.authorNg, CO-
dc.date.accessioned2016-08-23T14:09:49Z-
dc.date.available2016-08-23T14:09:49Z-
dc.date.issued2016-
dc.identifier.citationMeccanica, 2016-
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.relation.ispartofMeccanica-
dc.titleStarting flow in channels with boundary slip-
dc.typeArticle-
dc.identifier.emailNg, CO: cong@hku.hk-
dc.identifier.authorityNg, CO=rp00224-
dc.identifier.doi10.1007/s11012-016-0384-4-
dc.identifier.hkuros260357-

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