Calculation of Distribution Functions and Diffusion Coefficients for Ions in the System "Initial Electrolyte Solution - Membrane"

The consequences of highly saline freshwater on the ecosystem and humans are quite alarming and have gained little attention in recent times. Progressive advances in pervaporation have helped to unlock its potentials in the desalination of salty streams. In this study, desalination of lagoon-water using cellulose acetate membrane (CAM) and its copper-doped nanocomposite (CA-CuNP) membrane was investigated. A newly developed model was used in estimating salt diffusion coefficients in steady and unsteady state situations. At the experimental phase, permeate fluxes increased with temperature but dropped when the critical fluxes (5.11-6.01 L/m 2 h and 5.29-7.56 L/m 2 h) were exceeded for the CAM and CA-CuNP membranes respectively. At steady state, the critical permeate volumes for the pristine and nanocomposite membranes were 0.2273 and 0.1826 L with corresponding fluxes of 0.034 and 0.031 L/m 2 h after 10 and 9 h, respectively. The estimated steady and unsteady diffusivities for the membranes are: 1.

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Estimation of critical fluxes, thermal stabilities and failure criteria of cellulose-based membranes and modelling of salt diffusivity during pervaporative desalination

Sanni

Mshelia

Okoro

et al. 2022

Nanotechnol. Environ. Eng.

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

Токарчук¹

2022

Math. Model. Comput.

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A kinetic approach based on a modified chain of BBGKI equations for nonequilibrium particle distribution functions was used to describe the ion transfer processes in the ionic solution – porous medium system. A generalized kinetic equation of the revised Enskog–Vlasov–Landau theory for the nonequilibrium ion distribution function in the model of charged solid spheres is obtained, taking into account attractive short-range interactions for the ionic solution – porous medium system.

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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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Calculation of Distribution Functions and Diffusion Coefficients for Ions in the System "Initial Electrolyte Solution - Membrane"

Cited by 3 publications

References 3 publications

Estimation of critical fluxes, thermal stabilities and failure criteria of cellulose-based membranes and modelling of salt diffusivity during pervaporative desalination

Estimation of critical fluxes, thermal stabilities and failure criteria of cellulose-based membranes and modelling of salt diffusivity during pervaporative desalination

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

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

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