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

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

doi:10.1007/s10596-012-9337-8

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 journal › Article › peer-review

4 Scopus citations

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.

Original language	English (US)
Pages (from-to)	497-513
Number of pages	17
Journal	Computational Geosciences
Volume	17
Issue number	3
DOIs	https://doi.org/10.1007/s10596-012-9337-8
State	Published - Jan 25 2013
Externally published	Yes

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.

Access to Document

10.1007/s10596-012-9337-8

Cite this

@article{443a61e4b23f45d58250fdca215c3398,

title = "Analytical solution of electrohydrodynamic flow and transport in rectangular channels: inclusion of double layer effects",

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. {\textcopyright} 2013 Springer Science+Business Media Dordrecht.",

author = "V. Joekar-Niasar and R. Schotting and A. Leijnse",

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.",

year = "2013",

month = jan,

day = "25",

doi = "10.1007/s10596-012-9337-8",

language = "English (US)",

volume = "17",

pages = "497--513",

journal = "Computational Geosciences",

issn = "1420-0597",

publisher = "Springer Verlag",

number = "3",

}

TY - JOUR

T1 - Analytical solution of electrohydrodynamic flow and transport in rectangular channels: inclusion of double layer effects

AU - Joekar-Niasar, V.

AU - Schotting, R.

AU - Leijnse, A.

N1 - 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.

PY - 2013/1/25

Y1 - 2013/1/25

N2 - 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.

AB - 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.

UR - http://hdl.handle.net/10754/597570

UR - http://link.springer.com/10.1007/s10596-012-9337-8

UR - http://www.scopus.com/inward/record.url?scp=84876986380&partnerID=8YFLogxK

U2 - 10.1007/s10596-012-9337-8

DO - 10.1007/s10596-012-9337-8

M3 - Article

SN - 1420-0597

VL - 17

SP - 497

EP - 513

JO - Computational Geosciences

JF - Computational Geosciences

IS - 3

ER -

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

Abstract

Bibliographical note

Access to Document

Other files and links

Fingerprint

Cite this