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Theory and simulation of the dynamics, deformation, and breakup of a chain of superparamagnetic beads under a rotating magnetic field / Adolfo Vazquez-Quesada; Thomas Franke; Marco Ellero

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

Swansea University Author: Vazquez-Quesada, Adolfo

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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
Published: 2017
Online Access: Check full text

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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: College of Engineering
Issue: 3
Start Page: 032006