Open AccessOne-dimensional mathematical models of salt ion transport in electromembrane systems
Author(s) -
V.A. Gudza
Publication year - 2021
Publication title -
laplage em revista
Language(s) - English
Resource type - Journals
ISSN - 2446-6220
DOI - 10.24115/s2446-6220202173a1398p.253-267
Subject(s) - mathematical model , hierarchy , scope (computer science) , boundary value problem , computer science , subordination (linguistics) , binary number , mathematics , mathematical analysis , statistics , linguistics , philosophy , arithmetic , economics , market economy , programming language
This article presents a 1D classification and analysis of mathematical models of binary salt ion transport in electromembrane systems. The various phenomena of concentration polarization occurring in these systems are studied using mathematical models, both individually and in combination with each other. In accordance with this, we have carried out the classification of these phenomena, problems and mathematical models. The article presents a hierarchy of subordination of 1D mathematical models. A brief review, comparison, and analysis of the results of the boundary value problems from the proposed hierarchy are carried out. A numerical study and comparison of some mathematical models from the proposed hierarchy are carried out. The scope of applicability and limitations for each model are defined.