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  4. Kinetic coefficients of ion transport in a porous medium based on the Enskog–Landau kinetic equation

Kinetic coefficients of ion transport in a porous medium based on the Enskog–Landau kinetic equation

MMC.
2024;
Volume 11, Number 4
: pp. 1013–1024
https://doi.org/10.23939/mmc2024.04.1013
Received: February 23, 2024
Revised: November 12, 2024
Accepted: November 14, 2024

Tokarchuk M. V.  Kinetic coefficients of ion transport in a porous medium based on the Enskog–Landau kinetic equation.  Mathematical Modeling and Computing. Vol. 11, No. 4, pp. 1013–1024 (2024)

Authors:
  1. M. V. Tokarchuk
1
Lviv Polytechnic National University; Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine

Normal solutions of the Enskog–Vlasov–Landau kinetic equation were obtained within the model of positively and negatively charged solid spheres for the system ion solution – porous medium.  The Chapman–Enskog method was applied.  Analytical expressions for coefficients of viscosity, thermal conductivity, diffusion of ions in the system ionic solution – porous medium were derived by constructing the equations of hydrodynamics on the basis of normal solutions of the kinetic equation.

kinetic equations
distribution function
equations of hydrodynamics
transfer coefficients
diffusion
shielding radius
ionic solution – porous medium system
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