Mathematical Modeling of Single and Phase Autowaves in a Ferrocolloid

This paper describes a mathematical model of an autowave process in a cell with a ferrocolloid. The model is a system of differential coupled equations of the second order and differs from the previously presented model in terms of its original boundary conditions. The mathematical modeling of autow...

Full description

Saved in:
Bibliographic Details
Published in:Mathematics (Basel) 2023-08, Vol.11 (16), p.3575
Main Authors: Chekanov, Vladimir, Kandaurova, Natalya, Kovalenko, Anna
Format: Article
Language:English
Subjects:
autowaves
Boundary conditions
Charged particles
Chemical reactions
Differential equations
Electric fields
Electrodes
ferrocolloid
Food science
Kerosene
liquid membrane
Mathematical analysis
mathematical modeling
Mathematical models
Navier–Stokes equation
phase waves
Waves
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This paper describes a mathematical model of an autowave process in a cell with a ferrocolloid. The model is a system of differential coupled equations of the second order and differs from the previously presented model in terms of its original boundary conditions. The mathematical modeling of autowaves presented in this work constitutes an innovative approach, since the characteristics of the wave process are not initially included in the model but the model demonstrates a wave motion. A 2D solution of the model, which shows the correctness of the described mechanism of the autowave process, i.e., the recharging of magnetic particles in dense near-electrode layers formed near the electrodes under the influence of an electric field, is obtained. The propagation of single and phase autowaves is demonstrated in a computer experiment.
ISSN:2227-7390
2227-7390
DOI:10.3390/math11163575