Journal article
Flow of a thin liquid-metal film in a toroidal magnetic field
- Abstract:
- We investigate the gravity-driven flow of a thin film of liquid metal on a conducting conical substrate in the presence of a strong toroidal magnetic field (transverse to the flow and parallel to the substrate). We solve the leading-order governing equations in a physically relevant asymptotic limit to find the free-surface profile. We find that the leading-order fluid flow rate is a non-monotonic bounded function of the film height, and this can lead to singularities in the free-surface profile. We perform a detailed stability analysis and identify values of the relevant geometric, hydrodynamic and magnetic parameters such that the flow is stable.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Preview, Accepted manuscript, pdf, 1.5MB, Terms of use)
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- Publisher copy:
- 10.1017/jfm.2019.173
Authors
- Publisher:
- Cambridge University Press
- Journal:
- Journal of Fluid Mechanics More from this journal
- Volume:
- 867
- Pages:
- 835–876
- Publication date:
- 2019-03-28
- Acceptance date:
- 2019-02-23
- DOI:
- ISSN:
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0022-1120
- Keywords:
- Pubs id:
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pubs:985661
- UUID:
-
uuid:19158ea0-a4a0-48c4-bac3-54ef93f88324
- Local pid:
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pubs:985661
- Source identifiers:
-
985661
- Deposit date:
-
2019-03-28
- ARK identifier:
Terms of use
- Copyright holder:
- Cambridge University Press
- Copyright date:
- 2019
- Notes:
- © Cambridge University Press 2019
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