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Article: On the time development of dispersion in electroosmotic flow through a rectangular channel

TitleOn the time development of dispersion in electroosmotic flow through a rectangular channel
Authors
KeywordsAnalytical expressions
Channel side
Dispersion coefficient
Dispersion models
Electric double layer
Issue Date2012
PublisherSpringer Verlag. The Journal's web site is located at http://www.springeronline.com/sgw/cda/frontpage/0,11855,1-102-70-28739617-0,00.html?changeHeader=true
Citation
Acta Mechanica Sinica, 2012, v. 28 n. 3, p. 631–643 How to Cite?
AbstractThis is an analytical study on the time development of hydrodynamic dispersion of an inert species in electroosmotic flow through a rectangular channel. The objective is to determine how the channel side walls may affect the dispersion coefficient at different instants of time. To this end, the generalized dispersion model, which is valid for short and long times, is employed in the present study. Analytical expressions are derived for the convection and dispersion coefficients as functions of time, the aspect ratio of the channel, and the Debye-Hückel parameter representing the thickness of the electric double layer. For transport in a channel of large aspect ratio, the dispersion may undergo several stages of transience. The initial, fast time development is controlled by molecular diffusion across the narrow channel height, while the later, slower time development is governed by diffusion across the wider channel breadth. For a sufficiently large aspect ratio, there can be an interlude between these two periods during which the coefficient is nearly steady, signifying the resemblance of the transport to that in a parallel-plate channel. Given a sufficiently long time, the dispersion coefficient will reach a fully-developed steady value that may be several times higher than that without the side wall effects. The time scales for these periods of transience are identified in this paper. © The Chinese Society of Theoretical and Applied Mechanics and Springer-Verlag Berlin Heidelberg 2012.
Persistent Identifierhttp://hdl.handle.net/10722/159563
ISSN
2015 Impact Factor: 0.832
2015 SCImago Journal Rankings: 0.426
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorPaul, Sen_US
dc.contributor.authorNg, COen_US
dc.date.accessioned2012-08-16T05:52:37Z-
dc.date.available2012-08-16T05:52:37Z-
dc.date.issued2012en_US
dc.identifier.citationActa Mechanica Sinica, 2012, v. 28 n. 3, p. 631–643en_US
dc.identifier.issn0567-7718-
dc.identifier.urihttp://hdl.handle.net/10722/159563-
dc.description.abstractThis is an analytical study on the time development of hydrodynamic dispersion of an inert species in electroosmotic flow through a rectangular channel. The objective is to determine how the channel side walls may affect the dispersion coefficient at different instants of time. To this end, the generalized dispersion model, which is valid for short and long times, is employed in the present study. Analytical expressions are derived for the convection and dispersion coefficients as functions of time, the aspect ratio of the channel, and the Debye-Hückel parameter representing the thickness of the electric double layer. For transport in a channel of large aspect ratio, the dispersion may undergo several stages of transience. The initial, fast time development is controlled by molecular diffusion across the narrow channel height, while the later, slower time development is governed by diffusion across the wider channel breadth. For a sufficiently large aspect ratio, there can be an interlude between these two periods during which the coefficient is nearly steady, signifying the resemblance of the transport to that in a parallel-plate channel. Given a sufficiently long time, the dispersion coefficient will reach a fully-developed steady value that may be several times higher than that without the side wall effects. The time scales for these periods of transience are identified in this paper. © The Chinese Society of Theoretical and Applied Mechanics and Springer-Verlag Berlin Heidelberg 2012.-
dc.languageengen_US
dc.publisherSpringer Verlag. The Journal's web site is located at http://www.springeronline.com/sgw/cda/frontpage/0,11855,1-102-70-28739617-0,00.html?changeHeader=trueen_US
dc.relation.ispartofActa Mechanica Sinicaen_US
dc.rightsThe original publication is available at www.springerlink.comen_US
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.subjectAnalytical expressions-
dc.subjectChannel side-
dc.subjectDispersion coefficient-
dc.subjectDispersion models-
dc.subjectElectric double layer-
dc.titleOn the time development of dispersion in electroosmotic flow through a rectangular channelen_US
dc.typeArticleen_US
dc.identifier.emailPaul, S: suvadip@hku.hken_US
dc.identifier.emailNg, CO: cong@hku.hken_US
dc.identifier.authorityNg, CO=rp00224en_US
dc.description.naturepostprint-
dc.identifier.doi10.1007/s10409-012-0113-8-
dc.identifier.scopuseid_2-s2.0-84865488771-
dc.identifier.hkuros202160en_US
dc.identifier.volume28en_US
dc.identifier.issue3en_US
dc.identifier.spage631–643en_US
dc.identifier.epage631–643en_US
dc.identifier.isiWOS:000306214300008-
dc.publisher.placeGermany-
dc.identifier.citeulike10884905-

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