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Article: Stokes flow through a periodically grooved tube

TitleStokes flow through a periodically grooved tube
Authors
Issue Date2010
PublisherASME International. The Journal's web site is located at http://asmedl.aip.org/Fluids
Citation
Journal Of Fluids Engineering, Transactions Of The ASME, 2010, v. 132 n. 10 How to Cite?
AbstractThis is an analytical study on Stokes flow through a tube of which the wall is patterned with periodic transverse grooves filled with an inviscid gas. In one period of the pattern, the fluid flows through an annular groove and an annular rib subject to no-shear and no-slip boundary conditions, respectively. The fluid may penetrate the groove to a certain depth, so there is an abrupt change in the cross section of flow through the two regions. The problem is solved by the method of domain decomposition and eigenfunction expansions, where the coefficients of the expansion series are determined by matching velocities, stress, and pressure on the domain interface. The effective slip length and pressure distributions are examined as functions of the geometrical parameters (tube radius, depth of fluid penetration into grooves, and no-shear area fraction of the wall). Particular attention is paid to the limiting case of flow through annular fins on a no-shear wall. Results are generated for the streamlines, resistance, and pressure drop due to the fins. It is found that the wall condition, whether no-shear or no-slip, will be immaterial when the fin interval is smaller than a certain threshold depending on the orifice ratio. © 2010 American Society of Mechanical Engineers.
Persistent Identifierhttp://hdl.handle.net/10722/129268
ISSN
2015 Impact Factor: 1.283
2015 SCImago Journal Rankings: 0.756
ISI Accession Number ID
Funding AgencyGrant Number
Research Grant Council of the Hong Kong Special Administrative Region, ChinaHKU 715609E
University of Hong Kong200911159024
Funding Information:

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

References
Grants

 

DC FieldValueLanguage
dc.contributor.authorNg, COen_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.citationJournal Of Fluids Engineering, Transactions Of The ASME, 2010, v. 132 n. 10en_HK
dc.identifier.issn0098-2202en_HK
dc.identifier.urihttp://hdl.handle.net/10722/129268-
dc.description.abstractThis is an analytical study on Stokes flow through a tube of which the wall is patterned with periodic transverse grooves filled with an inviscid gas. In one period of the pattern, the fluid flows through an annular groove and an annular rib subject to no-shear and no-slip boundary conditions, respectively. The fluid may penetrate the groove to a certain depth, so there is an abrupt change in the cross section of flow through the two regions. The problem is solved by the method of domain decomposition and eigenfunction expansions, where the coefficients of the expansion series are determined by matching velocities, stress, and pressure on the domain interface. The effective slip length and pressure distributions are examined as functions of the geometrical parameters (tube radius, depth of fluid penetration into grooves, and no-shear area fraction of the wall). Particular attention is paid to the limiting case of flow through annular fins on a no-shear wall. Results are generated for the streamlines, resistance, and pressure drop due to the fins. It is found that the wall condition, whether no-shear or no-slip, will be immaterial when the fin interval is smaller than a certain threshold depending on the orifice ratio. © 2010 American Society of Mechanical Engineers.en_HK
dc.languageengen_US
dc.publisherASME International. The Journal's web site is located at http://asmedl.aip.org/Fluidsen_HK
dc.relation.ispartofJournal of Fluids Engineering, Transactions of the ASMEen_HK
dc.titleStokes flow through a periodically grooved tubeen_HK
dc.typeArticleen_HK
dc.identifier.emailNg, CO:cong@hku.hken_HK
dc.identifier.authorityNg, CO=rp00224en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1115/1.4002654en_HK
dc.identifier.scopuseid_2-s2.0-78751655807en_HK
dc.identifier.hkuros183427en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-78751655807&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume132en_HK
dc.identifier.issue10en_HK
dc.identifier.spage101204en_US
dc.identifier.isiWOS:000283327000008-
dc.publisher.placeUnited Statesen_HK
dc.relation.projectA homogenization-based model for roughness-induced apparent slip-
dc.identifier.scopusauthoridNg, CO=7401705594en_HK
dc.identifier.scopusauthoridWang, CY=7501647666en_HK

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