Exactly solvable model for drift of suspended ferromagnetic particles induced by the Magnus force

Abstract

The phenomenon of drift motion of single-domain ferromagnetic particles induced by the Magnus force in a viscous fluid is studied analytically. We use a minimal set of equations to describe the translational and rotational motions of these particles subjected to a harmonic force and a non-uniformly rotating magnetic field. Assuming that the azimuthal angle of the magnetic field is a periodic triangular function, we analytically solve the rotational equation of motion in the steady state and calculate the drift velocity of particles. We study in detail the dependence of this velocity on the model parameters, discuss the applicability of the drift phenomenon for separation of particles in suspensions, and verify numerically the analytical predictions.

arXiv comment20 pages, 7 figures

References in corpus (7)

• Dynamics of magnetic single domain particles embedded in a viscous liquid
• Dynamics of magnetic nano particles in a viscous fluid driven by rotating magnetic fields
• Rotational properties of ferromagnetic nanoparticles driven by a precessing magnetic field in a viscous fluid
• Curveballs in protoplanetary disks - the effect of the Magnus force on planet formation
• Drift of suspended ferromagnetic particles due to the Magnus effect
• Effect of lift force on the aerodynamics of dust grains in the protoplanetary disk
• Stability properties of periodically driven overdamped pendula and their implications to physics of semiconductor superlattices and Josephson junctions

Cited by in corpus (4)

• Temperature effects on drift of suspended single-domain particles induced by the Magnus force
• Dissipation-induced rotation of suspended ferromagnetic nanoparticles
• Disordering, Clustering, and Laning Transitions in Particle Systems with Dispersion in the Magnus Term
• Directed transport of suspended ferromagnetic nanoparticles under both gradient and uniform magnetic fields