Two-scale model for electro-diffusive transport through charged porous materials

Scheiner, Stefan; Pivonka, Peter; Smith, David W.

doi:10.1088/1757-899x/10/1/012112

Cited by 4 publications

(6 citation statements)

References 31 publications

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“…Several articles in literature have dealt with transport processes in charged porous media using homogenization techniques; however, these articles have assumed that surface transport processes can be neglected compared to bulk transport processes (Pivonka et. al., 2007;Pivonka et al 2009;Scheiner et al, 2010;Biesheuvel and Bazant. 2010;Gabitto and Tsouris, 2015; among others).…”

Section: Porous Media and Homogenization Methodsmentioning

confidence: 99%

“…We will follow a route based on the volume averaging method (VAM) developed by Prof. S. Whitaker and co-workers over a period of many years (Whitaker, 1999). In the bulk of the quasi-neutral solution filling the pores, the Nernst-Planck (NP) equation is used (Pivonka et al, 2007, Pivonka et al, 2009, Scheiner et al, 2010. The ion flux of species i is given by:…”

Section: Model Descriptionmentioning

confidence: 99%

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Surface transport processes in charged porous media

Gabitto

Tsouris

2017

Journal of Colloid and Interface Science

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Surface transport processes are very important in chemistry, colloidal sciences, engineering, biology, and geophysics. Natural or externally produced charges on surfaces create electrical double layers (EDLs) at the solid-liquid interface. The existence of the EDLs produces several complex processes including bulk and surface transport of ions. In this work, a model is presented to simulate bulk and transport processes in homogeneous porous media comprising big pores. It is based on a theory for capacitive charging by ideally polarizable porous electrodes without Faradaic reactions or specific adsorption of ions. A volume averaging technique is used to derive the averaged transport equations in the limit of thin electrical double layers. Description of the EDL between the electrolyte solution and the charged wall is accomplished using the Gouy-Chapman-Stern (GCS) model. The surface transport terms enter into the average equations due to the use of boundary conditions for diffuse interfaces. Two extra surface transports terms appear in the closed average equations. One is a surface diffusion term equivalent to the transport process in non-charged porous media. The second surface transport term is a migration term unique to charged porous media. The effective bulk and transport parameters for isotropic porous media are calculated solving the corresponding closure problems.

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Section: Porous Media and Homogenization Methodsmentioning

confidence: 99%

Section: Model Descriptionmentioning

confidence: 99%

Surface transport processes in charged porous media

Gabitto

Tsouris

2017

Journal of Colloid and Interface Science

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“…Following the arguments of Derjaguin et al [68], the derivative of the double layer potential is negative for N y > 0 (similarly to the surface charge ) and the integration of the Poisson-Boltzmann equation (29) between the symmetry plan ( N y D 0) and N y gives the following:…”

Section: Iterative Resolution Of the 1d Poisson-boltzmann Equationmentioning

confidence: 96%

“…In parallel, studies dealing with very low permeable porous materials aim at investigating how multiphysical phenomena may interfere in mass transport process . For instance, the interstitial flows in clayey materials have been shown to highly depend on the swelling effects .…”

Section: Introductionmentioning

confidence: 99%

Textural versus electrostatic exclusion‐enrichment effects in the effective chemical transport within the cortical bone: A numerical investigation

Lemaire

Kaiser

Naı̈li

et al. 2013

Numer Methods Biomed Eng

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Interstitial fluid within bone tissue is known to govern the remodelling signals' expression. Bone fluid flow is generated by skeleton deformation during the daily activities. Due to the presence of charged surfaces in the bone porous matrix, the electrochemical phenomena occurring in the vicinity of mechanosensitive bone cells, the osteocytes, are key elements in the cellular communication. In this study, a multiscale model of interstitial fluid transport within bone tissues is proposed. Based on an asymptotic homogenization method, our modelling takes into account the physicochemical properties of bone tissue. Thanks to this multiphysical approach, the transport of nutrients and waste between the blood vessels and the bone cells can be quantified to better understand the mechanotransduction of bone remodelling. In particular, it is shown that the electrochemical tortuosity may have stronger implications in the mass transport within the bone than the purely morphological one.

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“…The ion flux of species i in the bulk of the solution filling the pores is given by where N i is the ion flux, c i is the ion concentration, ∇ is the nabla operator for one-dimensional variation in the x direction, z i is the ion charge, D i o is the diffusion coefficient of ionic species i , F is the Faraday constant, R is the universal gas constant, and ϕ is the electrostatic potential in the pores. Equation has been derived assuming that the isotropic mobility, u i , is given by the Nernst–Einstein relation , for constant absolute temperature T ( u i = D i / RT ).…”

Section: Theoretical Model Developmentmentioning

confidence: 99%

Transport of Ions in Mesoporous Carbon Electrodes during Capacitive Deionization of High-Salinity Solutions

et al. 2015

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Desalination of high-salinity solutions has been studied using a novel experimental technique and a theoretical model. Neutron imaging has been employed to visualize lithium ions in mesoporous carbon materials, which are used as electrodes in capacitive deionization (CDI) for water desalination. Experiments were conducted with a flow-through CDI cell designed for neutron imaging and with lithium-6 chloride ((6)LiCl) as the electrolyte. Sequences of neutron images have been obtained at a relatively high concentration of (6)LiCl solution to provide information on the transport of ions within the electrodes. A new model that computes the individual ionic concentration profiles inside mesoporous carbon electrodes has been used to simulate the CDI process. Modifications have also been introduced into the simulation model to calculate results at high electrolyte concentrations. Experimental data and simulation results provide insight into why CDI is not effective for desalination of high ionic-strength solutions. The combination of experimental information, obtained through neutron imaging, with the theoretical model will help in the design of CDI devices, which can improve the process for high ionic-strength solutions.

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Two-scale model for electro-diffusive transport through charged porous materials

Cited by 4 publications

References 31 publications

Surface transport processes in charged porous media

Surface transport processes in charged porous media

Textural versus electrostatic exclusion‐enrichment effects in the effective chemical transport within the cortical bone: A numerical investigation

Transport of Ions in Mesoporous Carbon Electrodes during Capacitive Deionization of High-Salinity Solutions

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