Interaction between two magnetic dipoles in a uniform magnetic field

Ku, J. G., Liu, X. Y., Chen, H. H., Deng, R. D. and Yan, Q. X. (2016) Interaction between two magnetic dipoles in a uniform magnetic field. AIP Advances, 6 2: 025004.1-025004.9. doi:10.1063/1.4941750

Author Ku, J. G.
Liu, X. Y.
Chen, H. H.
Deng, R. D.
Yan, Q. X.
Title Interaction between two magnetic dipoles in a uniform magnetic field
Journal name AIP Advances   Check publisher's open access policy
ISSN 2158-3226
Publication date 2016-02-01
Year available 2016
Sub-type Article (original research)
DOI 10.1063/1.4941750
Open Access Status DOI
Volume 6
Issue 2
Start page 025004.1
End page 025004.9
Total pages 10
Place of publication Melville, NY, United States
Publisher A I P Publishing LLC
Language eng
Subject 3100 Physics and Astronomy
Abstract A new formula for the interaction force between two magnetic dipoles in a uniform magnetic field is derived taking their mutual magnetic interaction into consideration and used to simulate their relative motion. Results show that when the angle β between the direction of external magnetic field and the centerline of two magnetic dipoles is 0°or 90°, magnetic dipoles approach each other or move away from each other in a straight line, respectively. And the time required for them to contact each other from the initial position is related to the specific susceptibility and the diameter of magnetic particles, medium viscosity and magnetic field strength. When β is between 0°and 90°, magnetic dipole pair performs approximate elliptical motion, and the motion trajectory is affected by the specific susceptibility, diameter and medium viscosity but not magnetic field strength. However, time required for magnetic dipoles to complete the same motion trajectory is shorter when adopting stronger magnetic field. Moreover, the subsequent motion trajectory of magnetic dipoles is ascertained once the initial position is set in a predetermined motion trajectory. Additionally, magnetic potential energy of magnetic dipole pairs is transformed into kinetic energy and friction energy during the motion.
Keyword Magnetic fields
Interaction forces
Kinetic energy
Potential energy
Q-Index Code C1
Q-Index Status Provisional Code
Grant ID 51104048
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Chemical Engineering Publications
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