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Theory and simulation of the dynamics, deformation, and breakup of a chain of superparamagnetic beads under a rotating magnetic field

A. Vázquez-Quesada, T. Franke, M. Ellero, Marco Ellero, Adolfo Vazquez-Quesada

Physics of Fluids, Volume: 29, Issue: 3, Start page: 032006

Swansea University Authors: Marco Ellero, Adolfo Vazquez-Quesada

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DOI (Published version): 10.1063/1.4978630

Abstract

In this work, an analytical model for the behavior of superparamagnetic chains under the effect of a rotating magnetic field is presented. It is postulated that the relevant mechanisms for describing the shape and breakup of the chains into smaller fragments are the induced dipole-dipole magnetic fo...

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Published in: Physics of Fluids
ISSN: 1070-6631 1089-7666
Published: 2017
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URI: https://cronfa.swan.ac.uk/Record/cronfa32461
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Abstract: In this work, an analytical model for the behavior of superparamagnetic chains under the effect of a rotating magnetic field is presented. It is postulated that the relevant mechanisms for describing the shape and breakup of the chains into smaller fragments are the induced dipole-dipole magnetic force on the external beads, their translational and rotational drag forces, and the tangential lubrication between particles. Under this assumption, the characteristic S-shape of the chain can be qualitatively understood. Furthermore, based on a straight chain approximation, a novel analytical expression for the critical frequency for the chain breakup is obtained. In order to validate the model, the analytical expressions are compared with full three-dimensional smoothed particle hydrodynamics simulations of magnetic beads showing excellent agreement. Comparison with previous theoretical results and experimental data is also reported.
College: Faculty of Science and Engineering
Issue: 3
Start Page: 032006

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