Mathematical model of orientation of a ferromagnetic particle in magnetic field
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 bo...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
EDP Sciences
2018-01-01
|
| Series: | MATEC Web of Conferences |
| Online Access: | https://doi.org/10.1051/matecconf/201822402041 |
| _version_ | 1818648499776913408 |
|---|---|
| author | Masyutkin Eugene Masyagin Vasilii Avdeyev Boris |
| author_facet | Masyutkin Eugene Masyagin Vasilii Avdeyev Boris |
| author_sort | Masyutkin Eugene |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-17T01:19:24Z |
| format | Article |
| id | doaj.art-057873d73e5d49e7bd20512f35423085 |
| institution | Directory Open Access Journal |
| issn | 2261-236X |
| language | English |
| last_indexed | 2024-12-17T01:19:24Z |
| publishDate | 2018-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | MATEC Web of Conferences |
| spelling | doaj.art-057873d73e5d49e7bd20512f354230852022-12-21T22:08:53ZengEDP SciencesMATEC Web of Conferences2261-236X2018-01-012240204110.1051/matecconf/201822402041matecconf_icmtmte2018_02041Mathematical model of orientation of a ferromagnetic particle in magnetic fieldMasyutkin Eugene0Masyagin Vasilii1Avdeyev Boris2Kerch State Maritime Technological UniversityOmsk State Technical UniversityKerch State Maritime Technological UniversityA 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.https://doi.org/10.1051/matecconf/201822402041 |
| spellingShingle | Masyutkin Eugene Masyagin Vasilii Avdeyev Boris Mathematical model of orientation of a ferromagnetic particle in magnetic field MATEC Web of Conferences |
| title | Mathematical model of orientation of a ferromagnetic particle in magnetic field |
| title_full | Mathematical model of orientation of a ferromagnetic particle in magnetic field |
| title_fullStr | Mathematical model of orientation of a ferromagnetic particle in magnetic field |
| title_full_unstemmed | Mathematical model of orientation of a ferromagnetic particle in magnetic field |
| title_short | Mathematical model of orientation of a ferromagnetic particle in magnetic field |
| title_sort | mathematical model of orientation of a ferromagnetic particle in magnetic field |
| url | https://doi.org/10.1051/matecconf/201822402041 |
| work_keys_str_mv | AT masyutkineugene mathematicalmodeloforientationofaferromagneticparticleinmagneticfield AT masyaginvasilii mathematicalmodeloforientationofaferromagneticparticleinmagneticfield AT avdeyevboris mathematicalmodeloforientationofaferromagneticparticleinmagneticfield |