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Far-field theory for trajectories of magnetic ellipsoids in rectangular and circular channels

Abstract:

We report a method to control the positions of ellipsoidal magnets in flowing channels of rectangular or circular cross section at low Reynolds number. A static uniform magnetic field is used to pin the particle orientation and the particles move with translational drift velocities resulting from hydrodynamic interactions with the channel walls which can be described using Blake’s image tensor. Building on his insights, we are able to present a far-field theory predicting the particle motion ...

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Publication status:
Published
Peer review status:
Peer reviewed

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Files:
  • (Accepted manuscript, pdf, 6.7MB)
Publisher copy:
10.1093/imamat/hxy019

Authors


More by this author
Institution:
University of Oxford
Division:
MPLS Division
Department:
Physics; Theoretical Physics
Role:
Author
More by this author
Institution:
University of Oxford
Division:
MPLS Division
Department:
Physics; Theoretical Physics
Role:
Author
More by this author
Institution:
University of Oxford
Division:
MPLS Division
Department:
Physics; Theoretical Physics
Role:
Author
More by this author
Institution:
University of Oxford
Division:
MPLS Division
Department:
Physics; Theoretical Physics
Role:
Author
More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Physics
Sub department:
Theoretical Physics
Role:
Author
More from this funder
Name:
European Union
Grant:
Marie Sklodowska-Curie grant agreement No. 653284
Publisher:
Oxford University Press
Journal:
IMA Journal of Applied Mathematics More from this journal
Volume:
83
Issue:
4
Pages:
767–782
Publication date:
2018-07-25
Acceptance date:
2018-03-18
DOI:
EISSN:
1464-3634
ISSN:
0272-4960
Keywords:
Pubs id:
pubs:844270
UUID:
uuid:8c851bd6-e30e-4d27-895a-a0fb3df3012e
Local pid:
pubs:844270
Deposit date:
2018-04-25

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