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 journalArticleAcademicpeer-review

4 Citations (Scopus)

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.
Original languageEnglish
Pages (from-to)497-513
JournalComputational Geosciences
Volume17
Issue number3
DOIs
Publication statusPublished - 2013

Fingerprint

Electroosmosis
Electrohydrodynamics
electrokinesis
Analytical Solution
Inclusion
upscaling
Network Modeling
Upscaling
modeling
Electromigration
Advection
Overlapping
nonlinearity
Porous materials
porous medium
analytical method
advection
Advection-diffusion
Stokes Flow
Ludwig Boltzmann

Keywords

  • small zeta potentials
  • electroosmotic flow
  • electrokinetic flow
  • drug-delivery
  • ph
  • elctroosmosis
  • capillaries
  • remediation
  • dispersion
  • geometries

Cite this

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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.",
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Analytical solution of electrohydrodynamic flow and transport in rectangular channels: inclusion of double layer effects. / Joekar-Niasar, V.; Schotting, R.; Leijnse, A.

In: Computational Geosciences, Vol. 17, No. 3, 2013, p. 497-513.

Research output: Contribution to journalArticleAcademicpeer-review

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.

PY - 2013

Y1 - 2013

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.

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.

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KW - drug-delivery

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KW - capillaries

KW - remediation

KW - dispersion

KW - geometries

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