Journal of Colloid And Interface Science, ISSN 0021-9797, 08/2011, Volume 360, Issue 1, pp. 239 - 248

A theoretical model is presented for capacitive water desalination describing ion adsorption in electrostatic double layers in porous electrodes and salt...

Capacitive deionization | Nernst–Planck equation | Water desalination | Electrokinetics | Ion-exchange membranes | Electrostatic double layer models | Porous carbon electrodes | Modified Donnan model | purification | desalination | double-layer | model | ions | carbon electrodes | cell | water | aerogel | Nernst-Planck equation | CHEMISTRY, PHYSICAL | IONS | DESALINATION | MODEL | CARBON ELECTRODES | AEROGEL | PURIFICATION | DOUBLE-LAYER | CELL | WATER | Aquatic resources | Saline water conversion | Adsorption | Analysis | Green technology | Electrodes | Electric potential | Membranes | Voltage | Mathematical models | Desorption | Porosity | Channels

Capacitive deionization | Nernst–Planck equation | Water desalination | Electrokinetics | Ion-exchange membranes | Electrostatic double layer models | Porous carbon electrodes | Modified Donnan model | purification | desalination | double-layer | model | ions | carbon electrodes | cell | water | aerogel | Nernst-Planck equation | CHEMISTRY, PHYSICAL | IONS | DESALINATION | MODEL | CARBON ELECTRODES | AEROGEL | PURIFICATION | DOUBLE-LAYER | CELL | WATER | Aquatic resources | Saline water conversion | Adsorption | Analysis | Green technology | Electrodes | Electric potential | Membranes | Voltage | Mathematical models | Desorption | Porosity | Channels

Journal Article

Electrochimica Acta, ISSN 0013-4686, 03/2012, Volume 64, pp. 130 - 139

This paper aims to develop a model for simulating the electric double layer dynamics in CV measurements while simultaneously accounting for transport phenomena...

Cyclic voltammetry | Electric double layer | Modified Poisson–Nernst–Planck model | Electric double layer capacitor | Electrochemical capacitor | Dimensional analysis | Modified Poisson-Nernst-Planck model | ELECTROCHEMISTRY | NERNST-PLANCK | ELECTROLYTE | FUEL-CELL | MODEL | SUBNANOMETER PORES | NUMERICAL-SOLUTION | NITROGEN | NANOPOROUS CARBON SUPERCAPACITORS | CHARGE | Measurement | Electrolytes | Electrical conductivity | Mechanical engineering | Analysis | Aerospace engineering | Electric properties | Electrodes | Computer simulation | Electrical resistivity | Resistivity | Capacitance | Double layer | Mathematical models | Coefficients

Cyclic voltammetry | Electric double layer | Modified Poisson–Nernst–Planck model | Electric double layer capacitor | Electrochemical capacitor | Dimensional analysis | Modified Poisson-Nernst-Planck model | ELECTROCHEMISTRY | NERNST-PLANCK | ELECTROLYTE | FUEL-CELL | MODEL | SUBNANOMETER PORES | NUMERICAL-SOLUTION | NITROGEN | NANOPOROUS CARBON SUPERCAPACITORS | CHARGE | Measurement | Electrolytes | Electrical conductivity | Mechanical engineering | Analysis | Aerospace engineering | Electric properties | Electrodes | Computer simulation | Electrical resistivity | Resistivity | Capacitance | Double layer | Mathematical models | Coefficients

Journal Article

Journal of Computational Physics, ISSN 0021-9991, 02/2016, Volume 306, Issue C, pp. 1 - 18

A finite element discretization using a method of lines approached is proposed for approximately solving the Poisson–Nernst–Planck (PNP) equations. This...

Finite elements | Stability analysis | Poisson–Nernst–Planck | Energy estimate | Poisson-Nernst-Planck | EXISTENCE | NERNST-PLANCK | L-INFINITY | STABILITY | EQUATIONS | ION | PHYSICS, MATHEMATICAL | SCHEME | ELEMENT | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | TIME BEHAVIOR | Finite element method | Discretization | Computation | Mathematical analysis | Electrokinetics | Mathematical models | Estimates | Navier-Stokes equations

Finite elements | Stability analysis | Poisson–Nernst–Planck | Energy estimate | Poisson-Nernst-Planck | EXISTENCE | NERNST-PLANCK | L-INFINITY | STABILITY | EQUATIONS | ION | PHYSICS, MATHEMATICAL | SCHEME | ELEMENT | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | TIME BEHAVIOR | Finite element method | Discretization | Computation | Mathematical analysis | Electrokinetics | Mathematical models | Estimates | Navier-Stokes equations

Journal Article

Journal of Colloid And Interface Science, ISSN 0021-9797, 05/2015, Volume 446, pp. 317 - 326

•Increased discharge voltage enhances charge efficiency in capacitive deionization.•For constant voltage operation, this leads to lower energy consumption.•In...

Capacitive deionization | Porous electrodes | Water desalination | Electrical double layer modeling | Nernst–Planck equation for ion transport | electrosorption | desalination performance | oxide | removal | water desalination | ions | activated carbon electrodes | constant-current | porous-electrodes | adsorption rate | Nernst-Planck equation for ion transport | OXIDE | PERFORMANCE | CHEMISTRY, PHYSICAL | IONS | DESALINATION EFFICIENCY | CARBON ELECTRODES | REMOVAL | ADSORPTION RATE | ELECTROSORPTION | CONSUMPTION | Energy consumption | Energy conservation | Analysis

Capacitive deionization | Porous electrodes | Water desalination | Electrical double layer modeling | Nernst–Planck equation for ion transport | electrosorption | desalination performance | oxide | removal | water desalination | ions | activated carbon electrodes | constant-current | porous-electrodes | adsorption rate | Nernst-Planck equation for ion transport | OXIDE | PERFORMANCE | CHEMISTRY, PHYSICAL | IONS | DESALINATION EFFICIENCY | CARBON ELECTRODES | REMOVAL | ADSORPTION RATE | ELECTROSORPTION | CONSUMPTION | Energy consumption | Energy conservation | Analysis

Journal Article

Advanced Functional Materials, ISSN 1616-301X, 07/2017, Volume 27, Issue 28, pp. 1700329 - n/a

Poly(3,4‐ethylenedioxythiophene):polystyrene sulfonate (PEDOT:PSS) is the most studied and explored mixed ion‐electron conducting polymer system. PEDOT:PSS is...

double layers | supercapacitance | cyclic voltammetry | Nernst–Planck–Poisson modeling | PEDOT:PSS | Nernst-Planck-Poisson modeling | PHYSICS, CONDENSED MATTER | PHYSICS, APPLIED | POLYPYRROLE | MATERIALS SCIENCE, MULTIDISCIPLINARY | ELECTRODES | CHEMISTRY, PHYSICAL | NANOSCIENCE & NANOTECHNOLOGY | MODEL | CHEMISTRY, MULTIDISCIPLINARY | CONDUCTING POLYMERS | PSS | FRONTS | ELECTROCHEMICAL CHARACTERIZATION | IN-SITU | POLY(3,4-ETHYLENEDIOXYTHIOPHENE) | Polystyrene resins | Energy consumption | Electric charge | Semiconductor devices | Grains | Converters | Supercapacitors | Two dimensional models | Conductors | Conducting polymers | Redox reactions | Capacitance | Modelling | Transistors | Bulk transporters

double layers | supercapacitance | cyclic voltammetry | Nernst–Planck–Poisson modeling | PEDOT:PSS | Nernst-Planck-Poisson modeling | PHYSICS, CONDENSED MATTER | PHYSICS, APPLIED | POLYPYRROLE | MATERIALS SCIENCE, MULTIDISCIPLINARY | ELECTRODES | CHEMISTRY, PHYSICAL | NANOSCIENCE & NANOTECHNOLOGY | MODEL | CHEMISTRY, MULTIDISCIPLINARY | CONDUCTING POLYMERS | PSS | FRONTS | ELECTROCHEMICAL CHARACTERIZATION | IN-SITU | POLY(3,4-ETHYLENEDIOXYTHIOPHENE) | Polystyrene resins | Energy consumption | Electric charge | Semiconductor devices | Grains | Converters | Supercapacitors | Two dimensional models | Conductors | Conducting polymers | Redox reactions | Capacitance | Modelling | Transistors | Bulk transporters

Journal Article

Journal of Membrane Science, ISSN 0376-7388, 07/2016, Volume 510, pp. 370 - 381

Electrodialysis (ED) and Reverse Electrodialysis (RED) are related technologies for water desalination and energy conversion, both based on the selective...

Nernst–Planck equation | Concentration polarization | Ion exchange membranes | Co-ion exclusion | Donnan potential | Nernst-Planck equation | POWER-DENSITY | ENERGY | POLYMER SCIENCE | DESALINATION | EXCHANGE MEMBRANE | MASS-TRANSPORT | PERMSELECTIVITY | ELECTROLYTES | ENGINEERING, CHEMICAL | MATHEMATICAL-MODEL | COMPUTER-SIMULATION | WATER | Energy consumption | Aquatic resources | Saline water conversion | Analysis | Membranes | Ion exchangers | Desalination | Mathematical models | Transport | Computing time | Channels | Electrodialysis

Nernst–Planck equation | Concentration polarization | Ion exchange membranes | Co-ion exclusion | Donnan potential | Nernst-Planck equation | POWER-DENSITY | ENERGY | POLYMER SCIENCE | DESALINATION | EXCHANGE MEMBRANE | MASS-TRANSPORT | PERMSELECTIVITY | ELECTROLYTES | ENGINEERING, CHEMICAL | MATHEMATICAL-MODEL | COMPUTER-SIMULATION | WATER | Energy consumption | Aquatic resources | Saline water conversion | Analysis | Membranes | Ion exchangers | Desalination | Mathematical models | Transport | Computing time | Channels | Electrodialysis

Journal Article

Journal of Colloid And Interface Science, ISSN 0021-9797, 2007, Volume 313, Issue 1, pp. 315 - 327

We consider a charged porous material that is saturated by two fluid phases that are immiscible and continuous on the scale of a representative elementary...

Porous media | Clay | Electro-osmosis | Streaming potential | Nernst–Planck equation | Stokes equation | Saturation | Capillary pressure | Nernst-Planck equation | SOILS | PERMEABILITY | ZONE | EQUATIONS | CHEMISTRY, PHYSICAL | MODEL | FLOW | clay | streaming potential | saturation | ELECTRICAL-RESISTIVITY | TRANSPORT | electro-osmosis | capillary pressure | porous media | Earth Sciences | Sciences of the Universe | Physics | Geophysics | Environmental Sciences | Global Changes | POROUS MATERIALS | DRAINAGE | NernstPlanck equation | ELECTRODYNAMICS | CURRENT DENSITY | DOLOMITE | WATER SATURATION | ELECTRIC CONDUCTIVITY | Capillarypressure | SATURATION | 54 | WATER

Porous media | Clay | Electro-osmosis | Streaming potential | Nernst–Planck equation | Stokes equation | Saturation | Capillary pressure | Nernst-Planck equation | SOILS | PERMEABILITY | ZONE | EQUATIONS | CHEMISTRY, PHYSICAL | MODEL | FLOW | clay | streaming potential | saturation | ELECTRICAL-RESISTIVITY | TRANSPORT | electro-osmosis | capillary pressure | porous media | Earth Sciences | Sciences of the Universe | Physics | Geophysics | Environmental Sciences | Global Changes | POROUS MATERIALS | DRAINAGE | NernstPlanck equation | ELECTRODYNAMICS | CURRENT DENSITY | DOLOMITE | WATER SATURATION | ELECTRIC CONDUCTIVITY | Capillarypressure | SATURATION | 54 | WATER

Journal Article

SIAM Journal on Applied Mathematics, ISSN 0036-1399, 2018, Volume 78, Issue 2, pp. 1131 - 1154

The energy functional, the governing partial differential equation(s) (PDE), and the boundary conditions need to be consistent with each other in a modeling...

Generalized Poisson–Nernst–Planck/Poisson–Boltzmann equations | Variable dielectric | Boundary conditions | Electrolyte | Free energy functional | Energy law | IONIC-SOLUTIONS | MATHEMATICS, APPLIED | variable dielectric | free energy functional | DISPERSION | generalized Poisson-Nernst-Planck/Poisson-Boltzmann equations | NERNST-PLANCK EQUATIONS | energy law | TRANSPORT | CHANNEL | NANOTUBES | DIFFUSION | ELECTROSTATICS | COMPUTATION | boundary conditions | electrolyte | POISSON-BOLTZMANN EQUATION

Generalized Poisson–Nernst–Planck/Poisson–Boltzmann equations | Variable dielectric | Boundary conditions | Electrolyte | Free energy functional | Energy law | IONIC-SOLUTIONS | MATHEMATICS, APPLIED | variable dielectric | free energy functional | DISPERSION | generalized Poisson-Nernst-Planck/Poisson-Boltzmann equations | NERNST-PLANCK EQUATIONS | energy law | TRANSPORT | CHANNEL | NANOTUBES | DIFFUSION | ELECTROSTATICS | COMPUTATION | boundary conditions | electrolyte | POISSON-BOLTZMANN EQUATION

Journal Article

Journal of Computational Physics, ISSN 0021-9991, 01/2017, Volume 328, pp. 413 - 437

We design an arbitrary-order free energy satisfying discontinuous Galerkin (DG) method for solving time-dependent Poisson–Nernst–Planck systems. Both the...

Poisson–Nernst–Planck equation | Free energy | Discontinuous Galerkin methods | LIQUID-JUNCTION | EQUATIONS | MODEL | GRAMICIDIN | PHYSICS, MATHEMATICAL | ASYMPTOTIC-BEHAVIOR | NUMERICAL-SOLUTION | DISCRETIZATION | TRANSPORT | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | Poisson-Nernst-Planck equation | LARGE TIME BEHAVIOR | DIFFUSION | Analysis | Methods | Algorithms | Mathematics - Numerical Analysis

Poisson–Nernst–Planck equation | Free energy | Discontinuous Galerkin methods | LIQUID-JUNCTION | EQUATIONS | MODEL | GRAMICIDIN | PHYSICS, MATHEMATICAL | ASYMPTOTIC-BEHAVIOR | NUMERICAL-SOLUTION | DISCRETIZATION | TRANSPORT | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | Poisson-Nernst-Planck equation | LARGE TIME BEHAVIOR | DIFFUSION | Analysis | Methods | Algorithms | Mathematics - Numerical Analysis

Journal Article

SIAM Journal on Scientific Computing, ISSN 1064-8275, 2018, Volume 40, Issue 3, pp. B982 - B1006

A Newton solver for equations modeling drift-diffusion and electrokinetic phenomena is investigated. For drift-diffusion problems, modeled by the nonlinear...

Finite elements | Stability analysis | Poisson–Nernst–Planck | Numerical solvers | MATHEMATICS, APPLIED | APPROXIMATIONS | stability analysis | STABILITY | ION | numerical solvers | STOKES | SCHEME | TRANSPORT | FINITE-ELEMENT DISCRETIZATIONS | Poisson-Nernst-Planck | SYSTEMS | PRECONDITIONER | FLOWS | finite elements | Mathematics

Finite elements | Stability analysis | Poisson–Nernst–Planck | Numerical solvers | MATHEMATICS, APPLIED | APPROXIMATIONS | stability analysis | STABILITY | ION | numerical solvers | STOKES | SCHEME | TRANSPORT | FINITE-ELEMENT DISCRETIZATIONS | Poisson-Nernst-Planck | SYSTEMS | PRECONDITIONER | FLOWS | finite elements | Mathematics

Journal Article

2008, ISBN 9780199533817, Volume 9780199533817, xiv, 289

Modelling of heterogeneous processes, such as electrochemical reactions, extraction, or ion-exchange, usually requires solving the transport problem associated...

Irreversible processes | Nonequilibrium thermodynamics | Liquid-liquid interfaces | Transport theory | Ion flow dynamics | condensed matter physics | Membrane science | Thermodynamics of irreversible processes | Eletrochemistry | Ion transport | Liquid membranes | Theoretical modeling | Transport processes | Ion-exchange membranes | Nernst-Planck equation

Irreversible processes | Nonequilibrium thermodynamics | Liquid-liquid interfaces | Transport theory | Ion flow dynamics | condensed matter physics | Membrane science | Thermodynamics of irreversible processes | Eletrochemistry | Ion transport | Liquid membranes | Theoretical modeling | Transport processes | Ion-exchange membranes | Nernst-Planck equation

Book

SIAM Journal on Applied Mathematics, ISSN 0036-1399, 2015, Volume 75, Issue 3, pp. 1369 - 1401

Effective Poisson-Nernst-Planck (PNP) equations are derived for ion transport in charged porous media under forced convection (periodic flow in the frame of...

Electromigration | Porous media | Membranes | Homogenization | Poisson-Nernst-Planck | Diffusion | Equations | MATHEMATICS, APPLIED | diffusion | MACROTRANSPORT | APPROXIMATION | Poisson-Nernst-Planck equations | MODEL | electromigration | CONCENTRATION POLARIZATION | MACROSCOPIC EQUATIONS | membranes | NANOFLUIDIC DEVICES | homogenization | TAYLOR DISPERSION | porous media | FREE-ENERGY | TORTUOSITY

Electromigration | Porous media | Membranes | Homogenization | Poisson-Nernst-Planck | Diffusion | Equations | MATHEMATICS, APPLIED | diffusion | MACROTRANSPORT | APPROXIMATION | Poisson-Nernst-Planck equations | MODEL | electromigration | CONCENTRATION POLARIZATION | MACROSCOPIC EQUATIONS | membranes | NANOFLUIDIC DEVICES | homogenization | TAYLOR DISPERSION | porous media | FREE-ENERGY | TORTUOSITY

Journal Article

Journal of Colloid And Interface Science, ISSN 0021-9797, 2007, Volume 315, Issue 2, pp. 731 - 739

In the analysis of electroosmotic flows, the internal electric potential is usually modeled by the Poisson–Boltzmann equation. The Poisson–Boltzmann equation...

Electroosmotic flow | Nernst–Planck equation | Poisson–Boltzmann equation | Poisson-Boltzmann equation | Nernst-Planck equation | ELECTROKINETIC FLOW | TURNS | CHIP | DNA AMPLIFICATION | CHEMISTRY, PHYSICAL | SYSTEMS | electroosmotic flow | CAPILLARY | DIAGNOSTICS

Electroosmotic flow | Nernst–Planck equation | Poisson–Boltzmann equation | Poisson-Boltzmann equation | Nernst-Planck equation | ELECTROKINETIC FLOW | TURNS | CHIP | DNA AMPLIFICATION | CHEMISTRY, PHYSICAL | SYSTEMS | electroosmotic flow | CAPILLARY | DIAGNOSTICS

Journal Article

Applied Mathematical Modelling, ISSN 0307-904X, 08/2015, Volume 39, Issue 15, pp. 4337 - 4350

We investigate the combined pressure-driven electroosmotic flow near a wall roughness in the form of a rectangular block mounted on one wall of an infinitely...

Potential patch | Surface roughness | Debye layer | Nernst–Planck equation | Microvortex | Nernst-Planck equation | CAPILLARY-FLOW | TRANSPORT | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | ENGINEERING, MULTIDISCIPLINARY | CHANNELS | LAYER | CHARGE | Electric fields

Potential patch | Surface roughness | Debye layer | Nernst–Planck equation | Microvortex | Nernst-Planck equation | CAPILLARY-FLOW | TRANSPORT | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | ENGINEERING, MULTIDISCIPLINARY | CHANNELS | LAYER | CHARGE | Electric fields

Journal Article

Computer Physics Communications, ISSN 0010-4655, 03/2015, Volume 188, pp. 131 - 139

We have previously developed a finite element simulator, ichannel, to simulate ion transport through three-dimensional ion channel systems via solving the...

Stabilized finite element method | Ion channels | PRFB | SUPG | Poisson–Nernst–Planck equations | Poisson-Nernst-Planck equations | RESIDUAL-FREE BUBBLES | MEMBRANE | LIQUID-JUNCTION | EQUATIONS | FORMULATION | PHYSICS, MATHEMATICAL | NERNST-PLANCK THEORY | BROWNIAN DYNAMICS | ANTHRAX PROTECTIVE ANTIGEN | TRANSPORT | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | COMPUTATIONAL FLUID-DYNAMICS | Finite element method | Models | Analysis | Methods | Proteins | Algorithms | Computer simulation | Stabilization | Anthrax | Mathematical analysis | Ion transport | Poisson equation | Mathematical models

Stabilized finite element method | Ion channels | PRFB | SUPG | Poisson–Nernst–Planck equations | Poisson-Nernst-Planck equations | RESIDUAL-FREE BUBBLES | MEMBRANE | LIQUID-JUNCTION | EQUATIONS | FORMULATION | PHYSICS, MATHEMATICAL | NERNST-PLANCK THEORY | BROWNIAN DYNAMICS | ANTHRAX PROTECTIVE ANTIGEN | TRANSPORT | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | COMPUTATIONAL FLUID-DYNAMICS | Finite element method | Models | Analysis | Methods | Proteins | Algorithms | Computer simulation | Stabilization | Anthrax | Mathematical analysis | Ion transport | Poisson equation | Mathematical models

Journal Article

Water Resources Research, ISSN 0043-1397, 04/2018, Volume 54, Issue 4, pp. 3176 - 3195

Transport of multicomponent electrolyte solutions in saturated porous media is affected by the electrostatic interactions between charged species. Such...

COMSOL‐PHREEQC coupling | reactive transport modeling | Nernst‐Planck equations | flow‐through experiments | multicomponent diffusion | electrostatic interactions | flow-through experiments | Nernst-Planck equations | COMSOL-PHREEQC coupling | TRANSVERSE DISPERSION | WATER RESOURCES | COMPOUND-SPECIFIC DILUTION | SOLUTE TRANSPORT | FLOW | TRANSIENT TRANSPORT | IONIC TRANSPORT | ENVIRONMENTAL SCIENCES | IMPACT | PORE-SCALE | LIMNOLOGY | CLAY | Numerical simulations | Computer simulation | Thermodynamic activity | Benchmarks | Geochemistry | Dye dispersion | Fluxes | Electrostatic properties | Mass transfer | Dispersion | Media (transport) | Activity coefficients | Porous media | Electromigration | Advection | Pore water | Modelling | Mathematical models | Interactions | Coupling | Transport | Species

COMSOL‐PHREEQC coupling | reactive transport modeling | Nernst‐Planck equations | flow‐through experiments | multicomponent diffusion | electrostatic interactions | flow-through experiments | Nernst-Planck equations | COMSOL-PHREEQC coupling | TRANSVERSE DISPERSION | WATER RESOURCES | COMPOUND-SPECIFIC DILUTION | SOLUTE TRANSPORT | FLOW | TRANSIENT TRANSPORT | IONIC TRANSPORT | ENVIRONMENTAL SCIENCES | IMPACT | PORE-SCALE | LIMNOLOGY | CLAY | Numerical simulations | Computer simulation | Thermodynamic activity | Benchmarks | Geochemistry | Dye dispersion | Fluxes | Electrostatic properties | Mass transfer | Dispersion | Media (transport) | Activity coefficients | Porous media | Electromigration | Advection | Pore water | Modelling | Mathematical models | Interactions | Coupling | Transport | Species

Journal Article