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Conference Paper: Note on the nonlinear electrokinetic effects in mircochannel flowexact analytical solutions for sinh-Poisson equation

TitleNote on the nonlinear electrokinetic effects in mircochannel flowexact analytical solutions for sinh-Poisson equation
Authors
Issue Date2010
PublisherAmerican Physical Society.
Citation
The 63rd Annual Meeting of the American Physical Society's Division of Fluid Dynamics (DFD 2010), Long Beach, CA., 21-23 November 2010. In Bulletin of the American Physical Society, 2010 How to Cite?
AbstractElectrokinectic effects are important phenomena for fluid flow in microchannels, especially in mechanical systems involving movable micromechanical devices. Electrokinectic effects arise from electric double layer, which is a layer of charges attached to the dielectric surfaces as a result of the interaction of charges between ionized solution and dielectric surfaces. Electric potential inside the flow field is governed by the nonlinear Poisson-Boltzmann equation. Owing to the difficulty in solving the nonlinear equation, Debye-Hückel approximation, having an assumption of small electric potential, is a common approach to solve the linearized problem. In the present work, exact analytical expressions are obtained for the fully nonlinear sinh - Poisson equation without invoking the linear approximation. These solutions give insight on treating flow problems when Debye-Hückel approximation does not hold. Selected examples of solutions for a rectangular cell with zero homogenous boundary conditions applied on three wall surfaces are used for comparisons between the fully nonlinear and the linearized cases. Significant discrepancies are observed if the potential is not small, hence the present nonlinear theory is essential to better describe the physics involved.
DescriptionSession AM Microfluids - General I: Electrokinetic: Abstract ID: BAPS.2010.DFD.AM.3
Persistent Identifierhttp://hdl.handle.net/10722/137739

 

DC FieldValueLanguage
dc.contributor.authorTsang, ACHen_US
dc.contributor.authorChow, KWen_US
dc.date.accessioned2011-08-26T14:32:46Z-
dc.date.available2011-08-26T14:32:46Z-
dc.date.issued2010en_US
dc.identifier.citationThe 63rd Annual Meeting of the American Physical Society's Division of Fluid Dynamics (DFD 2010), Long Beach, CA., 21-23 November 2010. In Bulletin of the American Physical Society, 2010en_US
dc.identifier.urihttp://hdl.handle.net/10722/137739-
dc.descriptionSession AM Microfluids - General I: Electrokinetic: Abstract ID: BAPS.2010.DFD.AM.3-
dc.description.abstractElectrokinectic effects are important phenomena for fluid flow in microchannels, especially in mechanical systems involving movable micromechanical devices. Electrokinectic effects arise from electric double layer, which is a layer of charges attached to the dielectric surfaces as a result of the interaction of charges between ionized solution and dielectric surfaces. Electric potential inside the flow field is governed by the nonlinear Poisson-Boltzmann equation. Owing to the difficulty in solving the nonlinear equation, Debye-Hückel approximation, having an assumption of small electric potential, is a common approach to solve the linearized problem. In the present work, exact analytical expressions are obtained for the fully nonlinear sinh - Poisson equation without invoking the linear approximation. These solutions give insight on treating flow problems when Debye-Hückel approximation does not hold. Selected examples of solutions for a rectangular cell with zero homogenous boundary conditions applied on three wall surfaces are used for comparisons between the fully nonlinear and the linearized cases. Significant discrepancies are observed if the potential is not small, hence the present nonlinear theory is essential to better describe the physics involved.-
dc.languageengen_US
dc.publisherAmerican Physical Society.-
dc.relation.ispartofBulletin of the American Physical Societyen_US
dc.rightsBulletin of the American Physical Society. Copyright © American Physical Society.-
dc.titleNote on the nonlinear electrokinetic effects in mircochannel flowexact analytical solutions for sinh-Poisson equationen_US
dc.typeConference_Paperen_US
dc.identifier.emailTsang, ACH: alancht@hku.hken_US
dc.identifier.emailChow, KW: kwchow@hku.hken_US
dc.identifier.authorityChow, KW=rp00112en_US
dc.description.naturelink_to_OA_fulltext-
dc.identifier.hkuros189599en_US
dc.description.otherThe 63rd Annual Meeting of the American Physical Society's Division of Fluid Dynamics (DFD 2010), Long Beach, CA., 21-23 November 2010. In Bulletin of the American Physical Society, 2010-

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