Kinetic description of ion transport in the system "ionic solution – porous environment"

Токарчук, М. В.

doi:10.23939/mmc2022.03.719

Cited by 2 publications

(1 citation statement)

References 53 publications

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“…Thus, the non-equilibrium thermodynamic relations for the non-equilibrium one-particle distribution function of particles are obtained in [1]. A kinetic approach based on a modified chain of BBGKI equations for nonequilibrium particle distribution functions is used in [2] to describe the ion transfer processes in the ionic solution-porous medium system. The issue of accounting for the temperature inhomogeneity in the model of heat transfer for the structure being attributed to the heating-cooling cycles, or nonuniform heating, is considered in [3].…”

Section: Introductionmentioning

confidence: 99%

Numerical modeling of heat and mass transfer processes in a capillary-porous body during contact drying

Gayvas,

Markovych,

Dmytruk

et al. 2023

Math. Model. Comput.

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The problem of conductive (contact) drying of a capillary-porous body in a steam-air (gas) environment by heat transfer to the material during its contact with the heated surfaces of the material is considered. A system of significantly nonlinear differential equations of heat and mass transfer to describe such a process is obtained. To solve the formulated problem of heat and mass transfer (without taking into account deformability), the method of solving nonlinear boundary value problems is applied in the form of an iterative process, at each step of which a linear boundary value problem is solved. The results of the application of the method are verified based on the popular numerical scheme used. They agree well. A numerical experiment is conducted for materials of three types of porosity. The results are presented graphically and tabularly. The regularities of contact drying of capillary-porous materials in a steam-air environment are deduced.

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Section: Introductionmentioning

confidence: 99%

Numerical modeling of heat and mass transfer processes in a capillary-porous body during contact drying

Gayvas,

Markovych,

Dmytruk

et al. 2023

Math. Model. Comput.

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

Tokarchuk

2024

Math. Model. Comput.

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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.

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Kinetic description of ion transport in the system "ionic solution – porous environment"

Cited by 2 publications

References 53 publications

Numerical modeling of heat and mass transfer processes in a capillary-porous body during contact drying

Numerical modeling of heat and mass transfer processes in a capillary-porous body during contact drying

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

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