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Article: Dispersion in steady and oscillatory flows through a tube with reversible and irreversible wall reactions

TitleDispersion in steady and oscillatory flows through a tube with reversible and irreversible wall reactions
Authors
KeywordsHomogenization
Oscillatory tube flow
Taylor dispersion
Wall reactions
Issue Date2006
PublisherThe Royal Society. The Journal's web site is located at http://www.pubs.royalsoc.ac.uk/index.cfm?page=1086
Citation
Proceedings Of The Royal Society A: Mathematical, Physical And Engineering Sciences, 2006, v. 462 n. 2066, p. 481-515 How to Cite?
AbstractAn asymptotic analysis is presented for the advection-diffusion transport of a chemical species in flow through a small-diameter tube, where the flow consists of steady and oscillatory components, and the species may undergo linear reversible (phase exchange or wall retention) and irreversible (decay or absorption) reactions at the tube wall. Both developed and transient concentrations are considered in the analysis; the former is governed by the Taylor dispersion model, while the latter is required in order to formulate proper initial data for the developed mean concentration. The various components of the effective dispersion coefficient, valid when the developed state is attained, are derived as functions of the Schmidt number, flow oscillation frequency, phase partitioning and kinetics of the two reactions. Being more general than those available in the literature, this effective dispersion coefficient incorporates the combined effects of wall retention and absorption on the otherwise classical Taylor dispersion mechanism. It is found that if the phase exchange reaction kinetics is strong enough, the dispersion coefficient is probably to be increased by orders of magnitude by changing the tube wall from being non-retentive to being just weakly retentive. © 2005 The Royal Society.
Persistent Identifierhttp://hdl.handle.net/10722/75722
ISSN
2015 Impact Factor: 1.935
2015 SCImago Journal Rankings: 0.894
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorNg, COen_HK
dc.date.accessioned2010-09-06T07:13:56Z-
dc.date.available2010-09-06T07:13:56Z-
dc.date.issued2006en_HK
dc.identifier.citationProceedings Of The Royal Society A: Mathematical, Physical And Engineering Sciences, 2006, v. 462 n. 2066, p. 481-515en_HK
dc.identifier.issn1364-5021en_HK
dc.identifier.urihttp://hdl.handle.net/10722/75722-
dc.description.abstractAn asymptotic analysis is presented for the advection-diffusion transport of a chemical species in flow through a small-diameter tube, where the flow consists of steady and oscillatory components, and the species may undergo linear reversible (phase exchange or wall retention) and irreversible (decay or absorption) reactions at the tube wall. Both developed and transient concentrations are considered in the analysis; the former is governed by the Taylor dispersion model, while the latter is required in order to formulate proper initial data for the developed mean concentration. The various components of the effective dispersion coefficient, valid when the developed state is attained, are derived as functions of the Schmidt number, flow oscillation frequency, phase partitioning and kinetics of the two reactions. Being more general than those available in the literature, this effective dispersion coefficient incorporates the combined effects of wall retention and absorption on the otherwise classical Taylor dispersion mechanism. It is found that if the phase exchange reaction kinetics is strong enough, the dispersion coefficient is probably to be increased by orders of magnitude by changing the tube wall from being non-retentive to being just weakly retentive. © 2005 The Royal Society.en_HK
dc.languageengen_HK
dc.publisherThe Royal Society. The Journal's web site is located at http://www.pubs.royalsoc.ac.uk/index.cfm?page=1086en_HK
dc.relation.ispartofProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciencesen_HK
dc.subjectHomogenizationen_HK
dc.subjectOscillatory tube flowen_HK
dc.subjectTaylor dispersionen_HK
dc.subjectWall reactionsen_HK
dc.titleDispersion in steady and oscillatory flows through a tube with reversible and irreversible wall reactionsen_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.doi10.1098/rspa.2005.1582en_HK
dc.identifier.scopuseid_2-s2.0-33646170069en_HK
dc.identifier.hkuros112191en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-33646170069&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume462en_HK
dc.identifier.issue2066en_HK
dc.identifier.spage481en_HK
dc.identifier.epage515en_HK
dc.identifier.eissn1471-2946-
dc.identifier.isiWOS:000234749500009-
dc.publisher.placeUnited Kingdomen_HK
dc.identifier.scopusauthoridNg, CO=7401705594en_HK

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