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Article: Starting flow in channels with boundary slip
Title | Starting flow in channels with boundary slip |
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Authors | |
Keywords | Eigenfunction expansion Navier slip condition Start-up flow |
Issue Date | 2017 |
Publisher | Springer 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? |
Abstract | This 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 Identifier | http://hdl.handle.net/10722/229235 |
ISSN | 2023 Impact Factor: 1.9 2023 SCImago Journal Rankings: 0.508 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Ng, CO | - |
dc.date.accessioned | 2016-08-23T14:09:49Z | - |
dc.date.available | 2016-08-23T14:09:49Z | - |
dc.date.issued | 2017 | - |
dc.identifier.citation | Meccanica, 2017, v. 52 n. 1, p. 45-67 | - |
dc.identifier.issn | 0025-6455 | - |
dc.identifier.uri | http://hdl.handle.net/10722/229235 | - |
dc.description.abstract | This 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.language | eng | - |
dc.publisher | Springer Verlag Dordrecht. The Journal's web site is located at http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0025-6455 | - |
dc.relation.ispartof | Meccanica | - |
dc.rights | The final publication is available at Springer via http://dx.doi.org/10.1007/s11012-016-0384-4 | - |
dc.subject | Eigenfunction expansion | - |
dc.subject | Navier slip condition | - |
dc.subject | Start-up flow | - |
dc.title | Starting flow in channels with boundary slip | - |
dc.type | Article | - |
dc.identifier.email | Ng, CO: cong@hku.hk | - |
dc.identifier.authority | Ng, CO=rp00224 | - |
dc.description.nature | postprint | - |
dc.identifier.doi | 10.1007/s11012-016-0384-4 | - |
dc.identifier.scopus | eid_2-s2.0-84957581131 | - |
dc.identifier.hkuros | 260357 | - |
dc.identifier.volume | 52 | - |
dc.identifier.issue | 1 | - |
dc.identifier.spage | 45 | - |
dc.identifier.epage | 67 | - |
dc.identifier.isi | WOS:000389603900004 | - |
dc.publisher.place | Netherlands | - |
dc.identifier.issnl | 0025-6455 | - |