Mathematical Modeling of Single and Phase Autowaves in a Ferrocolloid

Vladimir Chekanov (), Natalya Kandaurova and Anna Kovalenko
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Vladimir Chekanov: Department of Digital Development, North-Caucasus Federal University, 355017 Stavropol, Russia
Natalya Kandaurova: Department of Information Technologies, MIREA-Russian Technological University, 355000 Stavropol, Russia
Anna Kovalenko: Department of Data Analysis and Artificial Intelligence, Kuban State University, 350040 Krasnodar, Russia

Mathematics, 2023, vol. 11, issue 16, 1-10

Abstract: 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.

Keywords: ferrocolloid; mathematical modeling; autowaves; Navier–Stokes equation; phase waves; liquid membrane (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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