A consistent description of the kinetic processes of electrolyte ion transport in a dynamic porous medium

Abstract

The consistent description of kinetic and hydrodynamic processes is applied to the study of ion transport processes in the ionic solution-porous medium system. A system of equations is obtained for the nonequilibrium single-ion distribution function, the nonequilibrium average value of the energy density of the interaction of solution ions, and the nonequilibrium average value of the number density of particles in a porous medium. Using the fractional calculus technique, a generalized diffusion equation of the Cattaneo type in fractional derivatives is obtained to describe the processes of subdiffusion of particles in a porous medium.

15 pages

References in corpus (3)

• Fractional Liouville and BBGKI Equations
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• Description processes of the interaction of water and aqueous solutions with fuel-containinig materials in the New Safe Confinement of the "Shelter'' object