Homogenization of the Poisson--Nernst--Planck equations for ion transport in charged porous media

M Schmuck, MZ Bazant - SIAM Journal on Applied Mathematics, 2015 - SIAM
… ) equations are derived for ion transport in charged porous media under forced convection
(… questions about electrodiffusion in charged porous media, relating to electroneutrality, …

Ion transport in porous media: derivation of the macroscopic equations using upscaling and properties of the effective coefficients

G Allaire, R Brizzi, JF Dufrêche, A Mikelić… - Computational …, 2013 - Springer
… of a system of partial differential equations describing transport of a dilute N-component
electrolyte in a Newtonian solvent through a rigid porous medium. The motion is governed by a …

Numerical modeling of ion transport and adsorption in porous media: A pore-scale study for capacitive deionization desalination

M Liu, J Waugh, SK Babu, JS Spendelow, Q Kang - Desalination, 2022 - Elsevier
Ion transport and adsorption in porous electrodes at pore scale In this section, pore-scale
simulations of ion transport and adsorption are carried out in porous carbon-based electrodes. …

Impact of multicomponent ionic transport on pH fronts propagation in saturated porous media

M Muniruzzaman, M Rolle - Water Resources Research, 2015 - Wiley Online Library
… multicomponent ionic transport in saturated porous media … effects on proton transport in the
presence of ionic admixtures. … steady-state flow and transport conditions. Dilute solutions of …

Thermodynamics of ions and water transport in porous media

A Revil - Journal of colloid and interface science, 2007 - Elsevier
… the transport of ions, water, and heat through the pore network. … pore space of the material
(namely the tortuosity of the pore … the medium in response to ions and water transport through …

On ions transport during drying in a porous medium

N Sghaier, M Prat, SB Nasrallah - Transport in porous media, 2007 - Springer
… We develop a model of evaporation and ions transport in order to gain more insight into
the important parameters of the problem. As in many previous works (eg Ben Nasrallah et al. …

Homogenization of the ionic transport equations in periodic porous media

JR Looker, SL Carnie - Transport in porous media, 2006 - Springer
… The transport of electrolyte through porous media is a classical multiscale phenomenon …
bio-porous materials modeling. Phenomenological equations relating the transport of ions and …

Ion transport in porous media studied by NMR

L Pel, HP Huinink, K Kopinga, LA Rijniers… - Magnetic resonance …, 2001 - Elsevier
… Na ions are adsorbed at the pore walls. Therefore during drying the ions will be transported
to … with the diffusion of the ions, which tends to level off the accumulation of ions. In Fig. 2 an …

Role of non-ideality for the ion transport in porous media: derivation of the macroscopic equations using upscaling

G Allaire, R Brizzi, JF Dufrêche, A Mikelić… - Physica D: Nonlinear …, 2014 - Elsevier
… partial differential equations describing the non-ideal transport of a N -component electrolyte
in a dilute Newtonian solvent through a rigid porous medium. Realistic non-ideal effects are …

Multicomponent ionic transport modeling in physically and electrostatically heterogeneous porous media with PhreeqcRM coupling for geochemical reactions

M Muniruzzaman, M Rolle - Water Resources Research, 2019 - Wiley Online Library
transport in heterogeneous porous media. The governing equation for steady-state flow in
saturated porous media is … urn:x-wiley:00431397:media:wrcr24350:wrcr24350-math-0027 (15) …