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.
Highlights
During the last half century, with the perfection and development of magnetic dipole theory, it has been widely used in diverse fields, such as nondestructive testing, magnetic localization, geophysical prospecting, induction log, magnetic fluid seal, magnetic fluid damper, magnetic-fluid separation and magnetic separation
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
Summary
During the last half century, with the perfection and development of magnetic dipole theory, it has been widely used in diverse fields, such as nondestructive testing, magnetic localization, geophysical prospecting, induction log, magnetic fluid seal, magnetic fluid damper, magnetic-fluid separation and magnetic separation. Research work has been carried out to study the interaction of magnetic dipoles. To the authors’ best knowledge, a systematic research on the motion trajectory, the speed and the energy conversion of magnetic dipole pairs during the motion in a uniform magnetic field has not been reported so far. In this work, based on the model of 2 time-division magnetic dipole and mutual magnetic interaction when magnetic particles approaching each other, a new magnetic interaction formula was derived and the 3D characteristic magnetic force distribution of magnetic particles was established. Effects of process parameters such as magnetic susceptibility and diameter of particles, magnetic field strength, and medium viscosity on the motion trajectory and motion time of magnetic dipole pairs were investigated and the energy conversion during the motion process was calculated
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