Modeling of electrokinetic processes by finite element integration of the Nernst–Planck–Poisson system of equations

Paz‐Garcia, Juan Manuel; Johannesson, Björn; Ottosen, Lisbeth M.; Ribeiro, Alexandra B.; Rodríguez‐Maroto, José Miguel

doi:10.1016/j.seppur.2011.02.023

Cited by 51 publications

(28 citation statements)

References 27 publications

(66 reference statements)

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“…The electrolysis reactions produce the injection of protons and hydroxide ions from the anode and the cathode respectively [2,19]. No other competitive electrode reactions were taken into account in the model.…”

Section: Electrolysis Reactionmentioning

confidence: 99%

“…Paz-Garcia et al introduced a finite element numerical implementation based on Petrov-Galerkin scheme for Nernst-Planck-Poisson system of equations for the EKR. They stated that their model was capable of simulating the EKR process in both constant current density or in the constant difference of voltage [19]. Yeung et al simulated the EKR of lead-contaminated soil and they stated that their simulation results were in a good agreement with the experimental data [20].…”

Section: Introductionmentioning

confidence: 98%

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Electrokinetic Remediation of Zinc and Copper Contaminated Soil: A Simulation-based Study

Rezaee¹,

Ghomesheh²,

Hosseini

2017

cej

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Electrokinetic is an effective and innovative method to remediate different kinds of soils, especially low permeable finedgrain soils such as silty and clayey soils. In this method, by applying a direct-current electric field into a contaminated soil resulted in different transport phenomena, the soil is remediated. This paper's objective is to propose a numerical model for Electrokinetic remediation of zinc and copper contaminated soils. Different transport phenomena including ion migration, electroosmosis flow, and diffusion were taken into account in the model. Chemical reactions such as precipitation/dissolution, adsorption onto the soil surface, and water chemical equilibrium were considered as well. Furthermore, instead of simplified boundary conditions (Neumann or Dirichlet) that cannot properly reflect the reality of the Electrokinetic remediation process, the realistic boundary conditions were used with consideration of flux and electrolysis reaction at the electrodes. The simulation results compared with the available experimental data in the literature. The coefficient of determination and the index of agreement indicated that the present model is consistent with the tests' results. Thus, the assumptions considered in the present study are acceptable.

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Section: Electrolysis Reactionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 98%

Electrokinetic Remediation of Zinc and Copper Contaminated Soil: A Simulation-based Study

Rezaee¹,

Ghomesheh²,

Hosseini

2017

cej

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“…Paz-Garcia et al introduced a finite element numerical implementation for Nernst-Planck-Poisson system of equations for the EKR. They claimed that their model has a potential to predict the EKR process in both constant current density and the constant difference of voltage [17]. Miao and Pan built a numerical model to predict remediation of nuclear waste-contaminated soil under the direct current electric field, and the model results agreed with the tests' results [18].…”

Section: Introductionmentioning

confidence: 80%

“…The electrolysis reactions produce the injection of protons and hydroxide ions from the anode and the cathode, respectively [8,17]. No other competitive electrode reactions were taken into consideration in the model.…”

Section: Electrolysis Reactionmentioning

confidence: 99%

Mathematical Modeling and Sensitivity Analysis on Cadmium Transport in Kaolinite under Direct Current Electric Field

2017

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Soil pollution is a challenging concern for environmentalists. Different remediation methods have been proposed to remediate polluted soils. Most of the existing methods cannot purify low permeable soils. Electrokinetic remediation (EKR) is an effective method which can remediate fine-grained soils. Understanding the physicochemical phenomena of the EKR is necessary to achieve efficient experimental framework. Therefore, the present study aims to introduce a theoretical and mathematical model for the EKR process. In the present model, different transport phenomena including ion migration, electroosmotic flow, and diffusion were considered. In addition, Chemical reactions such as adsorption/desorption, precipitation/dissolution, water autoionization reaction, and electrolysis reaction were considered. For modeling purpose, a set of partial differential and algebraic equations were used to model the remediation process. The implicit finite difference numerical model showed a good capability of simulating the EKR process. The sensitivity analysis on the retardation and tortuosity factors represented that the retardation factor had a considerable effect on the pH and cadmium concentration profiles. Although tortuosity factor did not have a significant impact on the pH profile, it had a non-negligible effect on the cadmium concentration profile.

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“…When using the CaCO3 rich poultices, the transition zone between low and high pH is moved from the stone to the anode poultice [16]. The increased concentration of OH − ions in the material must be counterbalanced by cations (electro-neutrality) and in [17] it is suggested from numerical-chemical simulations that these are mainly Ca 2+ from dissolution of calcium-carbonate in the anode poultice. There may thus be precipitation of Ca(OH)2 in the material.…”

Section: The Principle Of Electrochemical Desalinationmentioning

confidence: 99%

Electrochemical desalination of historic Portuguese tiles – Removal of chlorides, nitrates and sulfates

Ottosen¹,

Dias-Ferreira

Ribeiro

2015

Journal of Cultural Heritage

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Modeling of electrokinetic processes by finite element integration of the Nernst–Planck–Poisson system of equations

Cited by 51 publications

References 27 publications

Electrokinetic Remediation of Zinc and Copper Contaminated Soil: A Simulation-based Study

Electrokinetic Remediation of Zinc and Copper Contaminated Soil: A Simulation-based Study

Mathematical Modeling and Sensitivity Analysis on Cadmium Transport in Kaolinite under Direct Current Electric Field

Electrochemical desalination of historic Portuguese tiles – Removal of chlorides, nitrates and sulfates

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