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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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first_indexed 2017-03-15T20:02:36Z
last_indexed 2018-02-09T05:20:25Z
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spelling 2017-04-05T14:27:36.1873131 v2 32461 2017-03-15 Theory and simulation of the dynamics, deformation, and breakup of a chain of superparamagnetic beads under a rotating magnetic field 84f2af0791d38bdbf826728de7e5c69d Marco Ellero Marco Ellero true false 14cfebea6166c6de4a9764b6e98e794c Adolfo Vazquez-Quesada Adolfo Vazquez-Quesada true false 2017-03-15 FGSEN 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. Journal Article Physics of Fluids 29 3 032006 1070-6631 1089-7666 31 3 2017 2017-03-31 10.1063/1.4978630 COLLEGE NANME Science and Engineering - Faculty COLLEGE CODE FGSEN Swansea University 2017-04-05T14:27:36.1873131 2017-03-15T16:25:47.6921052 Faculty of Science and Engineering School of Engineering and Applied Sciences - Uncategorised A. Vázquez-Quesada 1 T. Franke 2 M. Ellero 3 Marco Ellero 4 Adolfo Vazquez-Quesada 5 0032461-15032017162722.pdf vazquez-quesada2017.pdf 2017-03-15T16:27:22.7470000 Output 7951990 application/pdf Accepted Manuscript true 2017-03-15T00:00:00.0000000 false eng
title Theory and simulation of the dynamics, deformation, and breakup of a chain of superparamagnetic beads under a rotating magnetic field
spellingShingle Theory and simulation of the dynamics, deformation, and breakup of a chain of superparamagnetic beads under a rotating magnetic field
Marco Ellero
Adolfo Vazquez-Quesada
title_short Theory and simulation of the dynamics, deformation, and breakup of a chain of superparamagnetic beads under a rotating magnetic field
title_full Theory and simulation of the dynamics, deformation, and breakup of a chain of superparamagnetic beads under a rotating magnetic field
title_fullStr Theory and simulation of the dynamics, deformation, and breakup of a chain of superparamagnetic beads under a rotating magnetic field
title_full_unstemmed Theory and simulation of the dynamics, deformation, and breakup of a chain of superparamagnetic beads under a rotating magnetic field
title_sort Theory and simulation of the dynamics, deformation, and breakup of a chain of superparamagnetic beads under a rotating magnetic field
author_id_str_mv 84f2af0791d38bdbf826728de7e5c69d
14cfebea6166c6de4a9764b6e98e794c
author_id_fullname_str_mv 84f2af0791d38bdbf826728de7e5c69d_***_Marco Ellero
14cfebea6166c6de4a9764b6e98e794c_***_Adolfo Vazquez-Quesada
author Marco Ellero
Adolfo Vazquez-Quesada
author2 A. Vázquez-Quesada
T. Franke
M. Ellero
Marco Ellero
Adolfo Vazquez-Quesada
format Journal article
container_title Physics of Fluids
container_volume 29
container_issue 3
container_start_page 032006
publishDate 2017
institution Swansea University
issn 1070-6631
1089-7666
doi_str_mv 10.1063/1.4978630
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Engineering and Applied Sciences - Uncategorised{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Engineering and Applied Sciences - Uncategorised
document_store_str 1
active_str 0
description 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.
published_date 2017-03-31T03:39:48Z
_version_ 1763751795919683584
score 11.036116

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