Modeling the magnetic interactions between paramagnetic beads in magnetorheological fluids. (English) Zbl 1161.76059
The authors develop a method to estimate the magnetic forces between paramagnetic particles that is applicable for systems of thousands of particles. They present and describe a finite-dipole model which resolves the many-body dipole interaction in MR fluids. In this model, the induced magnetization of a particle is represented as a localized Gaussian distribution of current. The associated computational effort is shown to scale as \(O(N)\). They modify the mutual dipole and the finite dipole model to include locally higher-order multipole terms through a pairwise interaction scheme. So they use the exact solution for two paramagnetic particles placed in a locally uniform magnetic field. The inclusion of higher order multipoles may be adapted to more situations.
Reviewer: Rejeb Hadiji (Paris)
MSC:
| 76W05 | Magnetohydrodynamics and electrohydrodynamics |
Keywords:
magnetorheological fluids; magnetic dipoles; multipole methods; superparamagnetic particles; paramagneticReferences:
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