A consistent description of the kinetic processes of electrolyte ion transport in a dynamic porous medium
DOI:
https://doi.org/10.5488/cmp.28.23501Keywords:
kinetic and hydrodynamic processes, nonequilibrium statistical operator, ionic solution, porous medium, fractional calculus, diffusionAbstract
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.
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