Analytical solution of electrohydrodynamic flow and transport in rectangular channels: inclusion of double layer effects
Type
ArticleKAUST Grant Number
KUK-C1-017-12Date
2013-01-25Online Publication Date
2013-01-25Print Publication Date
2013-06Permanent link to this record
http://hdl.handle.net/10754/597570
Metadata
Show full item recordAbstract
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.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.Publisher
Springer NatureJournal
Computational Geosciencesae974a485f413a2113503eed53cd6c53
10.1007/s10596-012-9337-8