Surface transport processes in charged porous media

Gabitto, Jorge; Tsouris, Costas

doi:10.1016/j.jcis.2017.03.009

Title: Surface transport processes in charged porous media

Abstract

Surface transport processes are 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 correspondingmore » closure problems.« less

Authors:

Gabitto, Jorge ^[1]; Tsouris, Costas ^[2]

Prairie View A&M Univ., Prairie View, TX (United States)
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)

Publication Date:: Fri Mar 03 00:00:00 EST 2017

Research Org.:: Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)

Sponsoring Org.:: USDOE

OSTI Identifier:: 1361353

Alternate Identifier(s):: OSTI ID: 1415308

Grant/Contract Number:: AC05-00OR22725; AC05-0096OR22725

Resource Type:: Accepted Manuscript

Journal Name:: Journal of Colloid and Interface Science

Additional Journal Information:: Journal Volume: 498; Journal Issue: C; Journal ID: ISSN 0021-9797

Publisher:: Elsevier

Country of Publication:: United States

Language:: English

Subject:: 37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY

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                    Gabitto, Jorge, and Tsouris, Costas. Surface transport processes in charged porous media.  United States: N. p., 2017. 
Web.  doi:10.1016/j.jcis.2017.03.009.

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                    Gabitto, Jorge, & Tsouris, Costas. Surface transport processes in charged porous media.  United States.  https://doi.org/10.1016/j.jcis.2017.03.009

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                    Gabitto, Jorge, and Tsouris, Costas. Fri .  
"Surface transport processes in charged porous media".  United States.  https://doi.org/10.1016/j.jcis.2017.03.009.  https://www.osti.gov/servlets/purl/1361353.

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@article{osti_1361353,

  title        = {Surface transport processes in charged porous media},

  author       = {Gabitto, Jorge and Tsouris, Costas},

  abstractNote = {Surface transport processes are 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.},

  doi          = {10.1016/j.jcis.2017.03.009},

  journal      = {Journal of Colloid and Interface Science},

  number       = C,

  volume       = 498,

  place        = {United States},

  year         = {Fri Mar 03 00:00:00 EST 2017},

  month        = {Fri Mar 03 00:00:00 EST 2017}

}

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Works referencing / citing this record:

From three‐dimensional morphology to effective diffusivity in filamentous fungal pellets
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Schmideder, Stefan; Barthel, Lars; Müller, Henri
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Similar Records

Title: Surface transport processes in charged porous media

Abstract

Citation Formats

On surface conduction and its role in electrokinetics journal, September 1998

Electrochemical characterization of the surface of a small particle and nonequilibrium electric surface phenomena journal, January 1995

A concept for the generalization of the standard electrokinetic model journal, December 2001

Dielectric Self-Energy in Poisson-Boltzmann and Poisson-Nernst-Planck Models of Ion Channels journal, June 2003

Nonlinear electrochemical relaxation around conductors journal, July 2006

Review on the science and technology of water desalination by capacitive deionization journal, October 2013

An experimental test of electrokinetic theory using measurements of electrophoretic mobility and electrical conductivity journal, October 1985

The interpretation of electrokinetic measurements using a dynamic model of the stern layer journal, November 1986

Electrokinetic equations and surface conductance. A survey of the diffuse double layer theory of colloidal solutions journal, January 1940

Surface conservation laws at microscopically diffuse interfaces journal, November 2007

Enhanced Charging Kinetics of Porous Electrodes: Surface Conduction as a Short-Circuit Mechanism journal, August 2014

From surface electrical properties to spontaneous potentials in porous media journal, May 1996

Electrical conductivity, spontaneous potential and ionic diffusion in porous media journal, January 1997

Ionic Diffusivity, Electrical Conductivity, Membrane and Thermoelectric Potentials in Colloids and Granular Porous Media: A Unified Model journal, April 1999

A triple-layer model of the surface electrochemical properties of clay minerals journal, February 2004

Influence of rough surfaces on electrolytic conduction in porous media journal, August 1989

Surface conductivity measurements for porous carbon electrodes journal, June 2013

Multi-scale modeling of three-phase–three-component processes in heterogeneous porous media journal, November 2007

Investigation of Donnan equilibrium in charged porous materials—a scale transition analysis journal, December 2006

Electrodiffusive Transport in Charged Porous Media: From the Particle-Level Scale to the Macroscopic Scale Using Volume Averaging journal, January 2009

Two-scale model for electro-diffusive transport through charged porous materials journal, June 2010

Volume Averaging Study of the Capacitive Deionization Process in Homogeneous Porous Media journal, May 2015

Modeling ion and fluid transport in unsaturated cement systems in isothermal conditions journal, January 2005

Homogenization of the Ionic Transport Equations in Periodic Porous Media journal, October 2006

Chemico-electromechanical coupling in microporous media journal, October 2006

Diffusion of ions in unsaturated porous materials journal, March 2008

Numerical estimation of effective diffusion coefficients for charged porous materials based on micro-scale analyses journal, April 2010

Modeling and deriving porous media Stokes-Poisson-Nernst-Planck equations by a multi-scale approach journal, January 2011

Transport of Ions in Mesoporous Carbon Electrodes during Capacitive Deionization of High-Salinity Solutions journal, July 2014

Bulk and surface diffusion in porous media: An application of the surface-averaging theorem journal, January 1993

Desalting by Means of Porous Carbon Electrodes journal, January 1971

Porous-electrode theory with battery applications journal, January 1975

Charge Efficiency: A Functional Tool to Probe the Double-Layer Structure Inside of Porous Electrodes and Application in the Modeling of Capacitive Deionization journal, November 2009

Effective diffusivities for catalyst pellets under reactive conditions journal, January 1980

Heat conduction in multiphase systems—I journal, January 1985

Local thermal equilibrium: An application to packed bed catalytic reactor design journal, January 1986

Diffusion in anisotropic porous media journal, August 1987

Transport in chemically and mechanically heterogeneous porous media IV: large-scale mass equilibrium for solute transport with adsorption journal, September 1998

The modelling of a textile dyeing process utilizing the method of volume averaging journal, October 2003

On the effective diffusivity under chemical reaction in porous media journal, July 2010

On the theorems for local volume averaging of multiphase systems journal, June 1977

A derivation of the equations for multi-phase transport journal, February 1975

Dispersion in pulsed systems—II journal, January 1983

Prediction of effective diffusivity tensors for bulk diffusion with chemical reactions in porous media journal, March 2007

The Forces experienced by a Lattice of Elliptic Cylinders in a Uniform Flow at Small Reynolds Numbers journal, April 1959

Multi-Scale Analysis of Effective Transport in Periodic Heterogeneous Media journal, April 1982

Effective diffusion and conduction in two-phase media: A unified approach journal, September 1983

LVI. On the influence of obstacles arranged in rectangular order upon the properties of a medium journal, December 1892

Influence of temperature on the electrosorption of ions from aqueous solutions using mesoporous carbon materials journal, September 2013

A variational calculation of the effective surface diffusion coefficient and tortuosity journal, January 1981

From three‐dimensional morphology to effective diffusivity in filamentous fungal pellets journal, October 2019

On surface conduction and its role in electrokinetics
journal, September 1998

Electrochemical characterization of the surface of a small particle and nonequilibrium electric surface phenomena
journal, January 1995

A concept for the generalization of the standard electrokinetic model
journal, December 2001

Dielectric Self-Energy in Poisson-Boltzmann and Poisson-Nernst-Planck Models of Ion Channels
journal, June 2003

Nonlinear electrochemical relaxation around conductors
journal, July 2006

Review on the science and technology of water desalination by capacitive deionization
journal, October 2013

An experimental test of electrokinetic theory using measurements of electrophoretic mobility and electrical conductivity
journal, October 1985

The interpretation of electrokinetic measurements using a dynamic model of the stern layer
journal, November 1986

Electrokinetic equations and surface conductance. A survey of the diffuse double layer theory of colloidal solutions
journal, January 1940

Surface conservation laws at microscopically diffuse interfaces
journal, November 2007

Enhanced Charging Kinetics of Porous Electrodes: Surface Conduction as a Short-Circuit Mechanism
journal, August 2014

From surface electrical properties to spontaneous potentials in porous media
journal, May 1996

Electrical conductivity, spontaneous potential and ionic diffusion in porous media
journal, January 1997

Ionic Diffusivity, Electrical Conductivity, Membrane and Thermoelectric Potentials in Colloids and Granular Porous Media: A Unified Model
journal, April 1999

A triple-layer model of the surface electrochemical properties of clay minerals
journal, February 2004

Influence of rough surfaces on electrolytic conduction in porous media
journal, August 1989

Surface conductivity measurements for porous carbon electrodes
journal, June 2013

Multi-scale modeling of three-phase–three-component processes in heterogeneous porous media
journal, November 2007

Investigation of Donnan equilibrium in charged porous materials—a scale transition analysis
journal, December 2006

Electrodiffusive Transport in Charged Porous Media: From the Particle-Level Scale to the Macroscopic Scale Using Volume Averaging
journal, January 2009

Two-scale model for electro-diffusive transport through charged porous materials
journal, June 2010

Volume Averaging Study of the Capacitive Deionization Process in Homogeneous Porous Media
journal, May 2015

Modeling ion and fluid transport in unsaturated cement systems in isothermal conditions
journal, January 2005

Homogenization of the Ionic Transport Equations in Periodic Porous Media
journal, October 2006

Chemico-electromechanical coupling in microporous media
journal, October 2006

Diffusion of ions in unsaturated porous materials
journal, March 2008

Numerical estimation of effective diffusion coefficients for charged porous materials based on micro-scale analyses
journal, April 2010

Modeling and deriving porous media Stokes-Poisson-Nernst-Planck equations by a multi-scale approach
journal, January 2011

Transport of Ions in Mesoporous Carbon Electrodes during Capacitive Deionization of High-Salinity Solutions
journal, July 2014

Bulk and surface diffusion in porous media: An application of the surface-averaging theorem
journal, January 1993

Desalting by Means of Porous Carbon Electrodes
journal, January 1971

Porous-electrode theory with battery applications
journal, January 1975

Charge Efficiency: A Functional Tool to Probe the Double-Layer Structure Inside of Porous Electrodes and Application in the Modeling of Capacitive Deionization
journal, November 2009

Effective diffusivities for catalyst pellets under reactive conditions
journal, January 1980

Heat conduction in multiphase systems—I
journal, January 1985

Local thermal equilibrium: An application to packed bed catalytic reactor design
journal, January 1986

Diffusion in anisotropic porous media
journal, August 1987

Transport in chemically and mechanically heterogeneous porous media IV: large-scale mass equilibrium for solute transport with adsorption
journal, September 1998

The modelling of a textile dyeing process utilizing the method of volume averaging
journal, October 2003

On the effective diffusivity under chemical reaction in porous media
journal, July 2010

On the theorems for local volume averaging of multiphase systems
journal, June 1977

A derivation of the equations for multi-phase transport
journal, February 1975

Dispersion in pulsed systems—II
journal, January 1983

Prediction of effective diffusivity tensors for bulk diffusion with chemical reactions in porous media
journal, March 2007

The Forces experienced by a Lattice of Elliptic Cylinders in a Uniform Flow at Small Reynolds Numbers
journal, April 1959

Multi-Scale Analysis of Effective Transport in Periodic Heterogeneous Media
journal, April 1982

Effective diffusion and conduction in two-phase media: A unified approach
journal, September 1983

LVI. On the influence of obstacles arranged in rectangular order upon the properties of a medium
journal, December 1892

Influence of temperature on the electrosorption of ions from aqueous solutions using mesoporous carbon materials
journal, September 2013

A variational calculation of the effective surface diffusion coefficient and tortuosity
journal, January 1981

From three‐dimensional morphology to effective diffusivity in filamentous fungal pellets
journal, October 2019