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

V. Joekar-Niasar, R. Schotting, A. Leijnse

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


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.
Original languageEnglish (US)
Pages (from-to)497-513
Number of pages17
JournalComputational Geosciences
Issue number3
StatePublished - Jan 25 2013
Externally publishedYes

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledged KAUST grant number(s): KUK-C1-017-12
Acknowledgements: 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.
This publication acknowledges KAUST support, but has no KAUST affiliated authors.


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