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

We consider colloidal dynamics and single-phase fluid flow within a saturated porous
medium in two space dimensions. A new approach in modeling pore clogging and porosity …

Derivation of macroscopic models for advection-diffusion processes in the presence of
dominant heterogeneous (eg, surface) reactions using homogenisation theory or volume …

In the upscaling from pore to continuum (Darcy) scale, reaction and deposition phenomena
at the solid–liquid interface of a porous medium have to be represented by macroscopic …

Reactive transport processes in natural environments often involve many ionic species. The
diffusivities of ionic species vary. Since assigning different diffusivities in the advection …

A nonlinear Poisson–Boltzmann equation with inhomogeneous Robin type boundary
conditions at the interface between two materials is investigated. The model describes the …

In this work, we undertake a numerical study of the effective coefficients arising in the
upscaling of a system of partial differential equations describing transport of a dilute N …

Electromagnetohydrodynamic (EMHD) flow in porous media is recently gaining substantial
attention from researchers. EMHD involves analyzing the combined effects of electric and …

Electroosmotic flow through porous media is a crucial contemporary research field that finds
its application in the areas of various engineering, geological, and biological settings …

We investigate the influence of aggregation and deposition on the colloidal dynamics in a
saturated porous medium. On the pore scale, the aggregation of colloids is modeled by the …