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

TL;DR

This paper presents an analytical model for the drift of ferromagnetic particles caused by the Magnus force in a viscous fluid, exploring how magnetic and harmonic forces influence particle motion.

Contribution

It introduces an exactly solvable analytical model for particle drift induced by the Magnus force under combined magnetic and harmonic forces.

Findings

Analytical expressions for particle drift velocity derived.

Dependence of drift velocity on model parameters analyzed.

Numerical verification confirms analytical predictions.

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.