| Issue |
MATEC Web Conf.
Volume 224, 2018
International Conference on Modern Trends in Manufacturing Technologies and Equipment (ICMTMTE 2018)
|
|
|---|---|---|
| Article Number | 02041 | |
| Number of page(s) | 6 | |
| Section | General problems of mechanical engineering: design, optimization, maintenance | |
| DOI | https://doi.org/10.1051/matecconf/201822402041 | |
| Published online | 30 October 2018 | |
Mathematical model of orientation of a ferromagnetic particle in magnetic field
1
Kerch State Maritime Technological University, Ordzhonikidze st., 82, Kerch, 298309, Russia
2
Omsk State Technical University, Mira 11, Omsk, 644050, Russia
* Corresponding author: dirigeant@mail.ru
A mathematical model of the rotational motion of a particle with pronounced ferromagnetic properties, due to the moment of forces from the side of an external homogeneous magnetic field is deduced in the article. The basis of the model is the equation for the moment of forces effecting on a solid body. The driving torque is the magnetic moment, calculated through the strength of the external field and the magnetization of the material. The counter–torque is the moment of medium resistance, which mainly depends on the viscosity of the medium in which the simulated body is located. The dependences of the angle of rotation and angular velocity on time are determined. The mathematical model is represented as a system of differential equations. The developed mathematical model was solved by a Runge – Kutta fourth order method. The obtained results are presented in the form of graphs.
© The Authors, published by EDP Sciences, 2018
This is an open access article distributed under the terms of the Creative Commons Attribution License 4.0 (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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