Journal article
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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Funding
Bibliographic Details
- Publisher:
- Oxford University Press Publisher's website
- Journal:
- IMA Journal of Applied Mathematics Journal website
- Volume:
- 83
- Issue:
- 4
- Pages:
- 767–782
- Publication date:
- 2018-07-25
- Acceptance date:
- 2018-03-18
- DOI:
- EISSN:
-
1464-3634
- ISSN:
-
0272-4960
Item Description
- Keywords:
- Pubs id:
-
pubs:844270
- UUID:
-
uuid:8c851bd6-e30e-4d27-895a-a0fb3df3012e
- Local pid:
- pubs:844270
- Deposit date:
- 2018-04-25
Terms of use
- Copyright holder:
- Matsunaga et al
- Copyright date:
- 2018
- Notes:
- Copyright © 2018 The Authors. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. This is the accepted manuscript version of the article. The final version is available online from Oxford University Press at: https://doi.org/10.1093/imamat/hxy019
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