Analytical solution of electrohydrodynamic flow and transport in rectangular channels: inclusion of double layer effects

Handle URI:
http://hdl.handle.net/10754/597570
Title:
Analytical solution of electrohydrodynamic flow and transport in rectangular channels: inclusion of double layer effects
Authors:
Joekar-Niasar, V.; Schotting, R.; Leijnse, A.
Abstract:
Upscaling electroosmosis in porous media is a challenge due to the complexity and scale-dependent nonlinearities of this coupled phenomenon. "Pore-network modeling" for upscaling electroosmosis from pore scale to Darcy scale can be considered as a promising approach. However, this method requires analytical solutions for flow and transport at pore scale. This study concentrates on the development of analytical solutions of flow and transport in a single rectangular channel under combined effects of electrohydrodynamic forces. These relations will be used in future works for pore-network modeling. The analytical solutions are valid for all regimes of overlapping electrical double layers and have the potential to be extended to nonlinear Boltzmann distribution. The innovative aspects of this study are (a) contribution of overlapping of electrical double layers to the Stokes flow as well as Nernst-Planck transport has been carefully included in the analytical solutions. (b) All important transport mechanisms including advection, diffusion, and electromigration have been included in the analytical solutions. (c) Fully algebraic relations developed in this study can be easily employed to upscale electroosmosis to Darcy scale using pore-network modeling. © 2013 Springer Science+Business Media Dordrecht.
Citation:
Joekar-Niasar V, Schotting R, Leijnse A (2013) Analytical solution of electrohydrodynamic flow and transport in rectangular channels: inclusion of double layer effects. Computational Geosciences 17: 497–513. Available: http://dx.doi.org/10.1007/s10596-012-9337-8.
Publisher:
Springer Nature
Journal:
Computational Geosciences
KAUST Grant Number:
KUK-C1-017-12
Issue Date:
25-Jan-2013
DOI:
10.1007/s10596-012-9337-8
Type:
Article
ISSN:
1420-0597; 1573-1499
Sponsors:
This research is funded by a King AbdullahUniversity of Science and Technology Center-in-DevelopmentAward to Utrecht University (grant no. KUK-C1-017-12). Wewould like to acknowledge Dr. J.P. Gustav Loch and Dr. AnaTeresa Lima for the fruitful discussions and comments on thegeochemistry of clays and solutes in electroosmosis.
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Publications Acknowledging KAUST Support

Full metadata record

DC FieldValue Language
dc.contributor.authorJoekar-Niasar, V.en
dc.contributor.authorSchotting, R.en
dc.contributor.authorLeijnse, A.en
dc.date.accessioned2016-02-25T12:42:15Zen
dc.date.available2016-02-25T12:42:15Zen
dc.date.issued2013-01-25en
dc.identifier.citationJoekar-Niasar V, Schotting R, Leijnse A (2013) Analytical solution of electrohydrodynamic flow and transport in rectangular channels: inclusion of double layer effects. Computational Geosciences 17: 497–513. Available: http://dx.doi.org/10.1007/s10596-012-9337-8.en
dc.identifier.issn1420-0597en
dc.identifier.issn1573-1499en
dc.identifier.doi10.1007/s10596-012-9337-8en
dc.identifier.urihttp://hdl.handle.net/10754/597570en
dc.description.abstractUpscaling electroosmosis in porous media is a challenge due to the complexity and scale-dependent nonlinearities of this coupled phenomenon. "Pore-network modeling" for upscaling electroosmosis from pore scale to Darcy scale can be considered as a promising approach. However, this method requires analytical solutions for flow and transport at pore scale. This study concentrates on the development of analytical solutions of flow and transport in a single rectangular channel under combined effects of electrohydrodynamic forces. These relations will be used in future works for pore-network modeling. The analytical solutions are valid for all regimes of overlapping electrical double layers and have the potential to be extended to nonlinear Boltzmann distribution. The innovative aspects of this study are (a) contribution of overlapping of electrical double layers to the Stokes flow as well as Nernst-Planck transport has been carefully included in the analytical solutions. (b) All important transport mechanisms including advection, diffusion, and electromigration have been included in the analytical solutions. (c) Fully algebraic relations developed in this study can be easily employed to upscale electroosmosis to Darcy scale using pore-network modeling. © 2013 Springer Science+Business Media Dordrecht.en
dc.description.sponsorshipThis research is funded by a King AbdullahUniversity of Science and Technology Center-in-DevelopmentAward to Utrecht University (grant no. KUK-C1-017-12). Wewould like to acknowledge Dr. J.P. Gustav Loch and Dr. AnaTeresa Lima for the fruitful discussions and comments on thegeochemistry of clays and solutes in electroosmosis.en
dc.publisherSpringer Natureen
dc.subjectAnalytical solutionen
dc.subjectElectroosmosisen
dc.subjectOverlapping double layeren
dc.subjectRectangular channelen
dc.titleAnalytical solution of electrohydrodynamic flow and transport in rectangular channels: inclusion of double layer effectsen
dc.typeArticleen
dc.identifier.journalComputational Geosciencesen
dc.contributor.institutionUtrecht University, Utrecht, Netherlandsen
dc.contributor.institutionWageningen University and Research Centre, Wageningen, Netherlandsen
kaust.grant.numberKUK-C1-017-12en
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