Exactly solvable model for drift of suspended ferromagnetic particles induced by the Magnus force
Source abstract
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.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Characterization and Applications of Magnetic Nanoparticles · Microfluidic and Bio-sensing Technologies · Mechanical and Optical Resonators
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (21)
Show source-provided references
1. Sports ball aerodynamics
2. Cross · 2011
3. A review of the Magnus effect in aeronautics10.1016/j.paerosci.2012.07.001 ↗
4. Effect of lift force on the aerodynamics of dust grains in the protoplanetary disk10.1186/1880-5981-66-132 ↗
5. Curveballs in protoplanetary discs – the effect of the Magnus force on planet formation10.1093/mnras/stv1712 ↗
6. Effective Magnus force on a magnetic vortex
7. Sonin · 2016
8. Force on a spinning sphere moving in a rarefied gas10.1063/1.1541026 ↗
9. Inverse Magnus effect on a rotating sphere: when and why10.1017/jfm.2014.428 ↗
10. The transverse force on a spinning sphere moving in a viscous fluid10.1017/S0022112061000640 ↗
11. Applications of magnetic nanoparticles in biomedicine10.1088/0022-3727/36/13/201 ↗
12. Magnetic iron oxide nanoparticles: Synthesis, stabilization, vectorization, physicochemical characterizations, and biological applications10.1021/cr068445e ↗
13. Dynamics of magnetic nanoparticle in a viscous liquid: application to magnetic nanoparticle hyperthermia10.1063/1.4737126 ↗
14. Dynamics of magnetic single domain particles embedded in a viscous liquid10.1063/1.4937919 ↗
15. Rotational properties of ferromagnetic nanoparticles driven by a precessing magnetic field in a viscous fluid10.1103/PhysRevE.92.042312 ↗
16. Dynamics of magnetic nanoparticles in a viscous fluid driven by rotating magnetic fields10.1103/PhysRevB.95.104430 ↗
17. Unidirectional transport of ferromagnetic particles in a viscous liquid induced by the Magnus force10.21272/jnep.8(4(2)).04087 ↗
18. Drift of suspended ferromagnetic particles due to the Magnus effect10.1063/1.4975031 ↗
19. Dynamics of overdamped Josephson junctions driven by a square-wave pulse10.1063/1.367089 ↗
20. Stability properties of periodically driven overdamped pendula and their implications to physics of semiconductor superlattices and Josephson junctions10.1063/1.3382087 ↗
21. A.P. Prudnikov, Yu.A. Brychkov, O.I. Marichev, Integrals and Series, Vol. 1: Elementary Functions, Gordon and Breach Science Publishers, New York, 1986. ISBN: 978-2-88124-089-8.