REGARDING THE PROBLEM OF SOLVING THE POISSON–BOLZMANN EQUATION WHEN THE DEBYE–HUCKEL APPROXIMATION CONDITIONS IN ELECTROKINETIC PROCESSES ARE NOT MET
Автор: B. P. Sharfarets
Журнал: Научное приборостроение @nauchnoe-priborostroenie
Рубрика: Математические методы и моделирование в приборостроении
Статья в выпуске: 2, 2025 года.
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The paper presents a set of mathematical models used in the numerical modeling of electrokinetic problems, namely, mathematical models for calculating electrokinetic processes during the study of the motion of an incompressible viscous fluid in a circular capillary. The corresponding hydrodynamic equations are given. The Debye–Huckel approximation in electroosmotic processes is considered when solving the Poisson–Boltzmann equation, and methods for solving it in cases where the Debye–Huckel approximation is invalid are given. This allows us to significantly expand the range of zeta potential values at which the Poisson-Boltzmann equation can be solved.
Electroosmosis, viscous incompressible fluid, Navier–Stokes equations system, Debye–Huckel approximation, solution of Poisson–Boltzmann equation in case of invalidity of Debye–Huckel approximation
Короткий адрес: https://sciup.org/142244856
IDR: 142244856