Unidirectional Transport of Ferromagnetic Particles in a Viscous LiquidInduced by the Magnus Force

Authors S.I. Denisov , B.O. Pedchenko , M.O. Pavlyuk

Sumy State University, 2, Rimsky Korsakov Str., 40007 Sumy, Ukraine

Issue Volume 8, Year 2016, Number 4
Dates Received 15 October 2016; published online 23 October 2016
Citation S.I. Denisov, B.O. Pedchenko, M.O. Pavlyuk, J. Nano- Electron. Phys. 8 No 4(2), 04087 (2016)
DOI 10.21272/jnep.8(4(2)).04087
PACS Number(s) 75.75.Jn, 82.70. – y
Keywords Ferromagnetic particle, Single-domain state, Viscous liquid, Translational and rotational motions, Magnus effect, Drift velocity.
Annotation We study the unidirectional motion of spherical ferromagnetic particles suspended in a viscous liquid and subjected to the action of an external periodic force and a non-uniformly rotating magnetic field. In the case when the translational and rotational motions of particles are characterized by small Reynolds numbers, we propose a system of equations that describes their dynamics and that accounts for the influence of the Magnus force. Theoretical and numerical analysis of the steady-state solution of this system of equations is carried out, the average velocity of unidirectional (drift) motion of particles is calculated, and the dependence of the average velocity on the characteristics of particles, liquid, external force and magnetic field is studied.