Interaction between two magnetic dipoles in a uniform magnetic field

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....

[1]  Huihuang Chen,et al.  Simulation and observation of magnetic mineral particles aggregating into chains in a uniform magnetic field , 2015 .

[2]  L. Gelius,et al.  Analysis of the near-source error in TEM due to the dipole hypothesis , 2015 .

[3]  Huihuang Chen,et al.  Numerical simulation of agglomeration process dynamics of ferromagnetic mineral particles in a weak magnetic field , 2014 .

[4]  Li Ding,et al.  Slice matrix analysis for combinatorial optimization of rod matrix in PHGMS , 2014 .

[5]  Yoshihiro Yamashita,et al.  Magnetic particle movement program to calculate particle paths in flow and magnetic fields , 2014 .

[6]  K. Galvin,et al.  Influence of magnetic and hydrodynamic forces on chain-aggregation and motion of magnetisable particles and composites , 2013 .

[7]  J. J. Abbott,et al.  Optimal Permanent-Magnet Geometries for Dipole Field Approximation , 2013, IEEE transactions on magnetics.

[8]  T. G. Kang,et al.  Numerical and experimental study of a rotating magnetic particle chain in a viscous fluid. , 2012, Physical review. E, Statistical, nonlinear, and soft matter physics.

[9]  S. Nishijima,et al.  High Gradient Magnetic Separation of Pneumatic Conveyed Powder Products , 2011, IEEE Transactions on Applied Superconductivity.

[10]  K. Fujiwara,et al.  Large-scale analysis of magnetic particle dynamics taking into account contact force and magnetic interaction with the fast multipole method , 2011 .

[11]  T. Ando,et al.  Numerical simulation of chainlike cluster movement of feeble magnetic particles by induced magnetic dipole moment under high magnetic fields , 2009, Science and technology of advanced materials.

[12]  Stephen R. Forrest,et al.  Enhanced light out-coupling of organic light-emitting devices using embedded low-index grids , 2008 .

[13]  M. Smolkin,et al.  Calculation and Analysis of the Magnetic Force Acting on a Particle in the Magnetic Field of Separator. Analysis of the Equations Used in the Magnetic Methods of Separation , 2006, IEEE Transactions on Magnetics.

[14]  P. Bomans,et al.  Direct observation of dipolar chains in iron ferrofluids by cryogenic electron microscopy , 2003, Nature materials.

[15]  D. Bagster.  The calculation of force on a weakly magnetic particle in a magnetic field , 1987 .

[16]  F. Concha,et al.  Settling velocities of particulate systems, 1. Settling velocities of individual spherical particles , 1979 .

[17]  Farid F. Abraham,et al.  Functional Dependence of Drag Coefficient of a Sphere on Reynolds Number , 1970 .