Journal
JOURNAL OF ENGINEERING MATHEMATICS
Volume 69, Issue 1, Pages 25-58Publisher
SPRINGER
DOI: 10.1007/s10665-010-9364-1
Keywords
Asymptotic solution; Fluid flow; Magnetic force; Paramagnetic particles; Particle motion
Funding
- Ministry of Education, Science and Technology [2005-1091]
Ask authors/readers for more resources
Numerical simulations of the two-dimensional motion of multiple paramagnetic particles suspended in a viscous fluid subjected to a uniform magnetic field are presented. Both the magnetic field and flow field can be described efficiently with simple series in local coordinates attached to each particle. The coefficients of the series can be obtained with fast convergence when only a few leading coefficients are treated implicitly. Numerical results for the flow field are validated by comparing the data with those given by an asymptotic solution for a pair of particles separated by a small distance. The numerical results of the magnetic field are validated by comparison with the solutions in bipolar coordinates. Simulations of the motion of multiple particles reveal interesting phenomena and shed light on the fundamental mechanism of particles clustering into a straight chain. The data presented in this paper can be used as a benchmark solution for verifying codes for simulating the motion of paramagnetic particles in a magnetic field.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available