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

Vázquez-Quesada, A., Franke, T. and Ellero, M. (2017) Theory and simulation of the dynamics, deformation, and breakup of a chain of superparamagnetic beads under a rotating magnetic field. Physics of Fluids, 29(3), 032006. (doi:10.1063/1.4978630)

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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.

Item Type:Articles
Additional Information:The Authors gratefully acknowledge the financial support provided by the Welsh Government and Higher Education Funding Council for Wales through the Ser Cymru National Research Network in Advanced Engineering and Materials.
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Franke, Professor Thomas
Authors: Vázquez-Quesada, A., Franke, T., and Ellero, M.
College/School:College of Science and Engineering > School of Engineering > Biomedical Engineering
Journal Name:Physics of Fluids
Publisher:AIP Publishing
ISSN:1070-6631
ISSN (Online):1089-7666
Published Online:24 March 2017
Copyright Holders:Copyright © 2017 The Authors
First Published:First published in Physics of Fluids 29(3): 032006
Publisher Policy:Reproduced in accordance with the publisher copyright policy

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