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JOURNALS // Matematicheskoe modelirovanie // Archive

Mat. Model., 2024 Volume 36, Number 3, Pages 134–146 (Mi mm4546)

Dynamic model of formation and destruction of aggregates for describing the effect of isothermal supersaturation in an ion exchanger

M. A. Kaznacheev, N. A. Tikhonov

Lomonosov Moscow State University, Faculty of Physics

Abstract: The paper proposes a dynamic model for the formation and destruction of supersaturated phase particles in the intergranular space of an ionite for a quantitative description of the effect of isothermal supersaturation. The model is based on the idea of the existence of competition between the processes of association of particles of the supersaturated phase and their destruction under the action of the field of charges of the functional centers of the ion exchanger near its surface. As a result of this competition, a steady state of a supersaturated solution can be reached. It has been verified that the model describes the experimental data on measuring the degree of supersaturation as a function of time for solutions with the same component composition for two different ion exchangers.

Keywords: isothermal supersaturation, mathematical modeling, ion exchanger.

Received: 30.05.2023
Revised: 11.01.2024
Accepted: 15.01.2024

DOI: 10.20948/mm-2024-03-09


 English version:
Mathematical Models and Computer Simulations, 2024, 16:5, 743–751


© Steklov Math. Inst. of RAS, 2025