Flow-induced morphological instability of a mushy layer
A morphological instability of a mushy layer due to a forced flow in the melt is analysed. The instability is caused by flow induced in the mushy layer by Bernoulli suction at the crests of a sinusoidally perturbed mush–melt interface. The flow in the mushy layer advects heat away from crests which...
Published in: | Journal of Fluid Mechanics |
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Language: | English |
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Cambridge University Press
1999
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Online Access: | https://centaur.reading.ac.uk/35054/ https://centaur.reading.ac.uk/35054/1/flowinducedinstability.pdf https://doi.org/10.1017/S002211209900539X |
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ftunivreading:oai:centaur.reading.ac.uk:35054 2024-06-23T07:56:42+00:00 Flow-induced morphological instability of a mushy layer FELTHAM, DANIEL L. GRAE WORSTER, M. 1999 text https://centaur.reading.ac.uk/35054/ https://centaur.reading.ac.uk/35054/1/flowinducedinstability.pdf https://doi.org/10.1017/S002211209900539X en eng Cambridge University Press https://centaur.reading.ac.uk/35054/1/flowinducedinstability.pdf FELTHAM, D. L. <https://centaur.reading.ac.uk/view/creators/90004991.html> orcid:0000-0003-2289-014X and GRAE WORSTER, M. (1999) Flow-induced morphological instability of a mushy layer. Journal Of Fluid Mechanics, 391. pp. 337-357. ISSN 0022-1120 doi: https://doi.org/10.1017/S002211209900539X <https://doi.org/10.1017/S002211209900539X> Article PeerReviewed 1999 ftunivreading https://doi.org/10.1017/S002211209900539X 2024-06-11T15:01:09Z A morphological instability of a mushy layer due to a forced flow in the melt is analysed. The instability is caused by flow induced in the mushy layer by Bernoulli suction at the crests of a sinusoidally perturbed mush–melt interface. The flow in the mushy layer advects heat away from crests which promotes solidification. Two linear stability analyses are presented: the fundamental mechanism for instability is elucidated by considering the case of uniform flow of an inviscid melt; a more complete analysis is then presented for the case of a parallel shear flow of a viscous melt. The novel instability mechanism we analyse here is contrasted with that investigated by Gilpin et al. (1980) and is found to be more potent for the case of newly forming sea ice. Article in Journal/Newspaper Sea ice CentAUR: Central Archive at the University of Reading Journal of Fluid Mechanics 391 337 357 |
institution |
Open Polar |
collection |
CentAUR: Central Archive at the University of Reading |
op_collection_id |
ftunivreading |
language |
English |
description |
A morphological instability of a mushy layer due to a forced flow in the melt is analysed. The instability is caused by flow induced in the mushy layer by Bernoulli suction at the crests of a sinusoidally perturbed mush–melt interface. The flow in the mushy layer advects heat away from crests which promotes solidification. Two linear stability analyses are presented: the fundamental mechanism for instability is elucidated by considering the case of uniform flow of an inviscid melt; a more complete analysis is then presented for the case of a parallel shear flow of a viscous melt. The novel instability mechanism we analyse here is contrasted with that investigated by Gilpin et al. (1980) and is found to be more potent for the case of newly forming sea ice. |
format |
Article in Journal/Newspaper |
author |
FELTHAM, DANIEL L. GRAE WORSTER, M. |
spellingShingle |
FELTHAM, DANIEL L. GRAE WORSTER, M. Flow-induced morphological instability of a mushy layer |
author_facet |
FELTHAM, DANIEL L. GRAE WORSTER, M. |
author_sort |
FELTHAM, DANIEL L. |
title |
Flow-induced morphological instability of a mushy layer |
title_short |
Flow-induced morphological instability of a mushy layer |
title_full |
Flow-induced morphological instability of a mushy layer |
title_fullStr |
Flow-induced morphological instability of a mushy layer |
title_full_unstemmed |
Flow-induced morphological instability of a mushy layer |
title_sort |
flow-induced morphological instability of a mushy layer |
publisher |
Cambridge University Press |
publishDate |
1999 |
url |
https://centaur.reading.ac.uk/35054/ https://centaur.reading.ac.uk/35054/1/flowinducedinstability.pdf https://doi.org/10.1017/S002211209900539X |
genre |
Sea ice |
genre_facet |
Sea ice |
op_relation |
https://centaur.reading.ac.uk/35054/1/flowinducedinstability.pdf FELTHAM, D. L. <https://centaur.reading.ac.uk/view/creators/90004991.html> orcid:0000-0003-2289-014X and GRAE WORSTER, M. (1999) Flow-induced morphological instability of a mushy layer. Journal Of Fluid Mechanics, 391. pp. 337-357. ISSN 0022-1120 doi: https://doi.org/10.1017/S002211209900539X <https://doi.org/10.1017/S002211209900539X> |
op_doi |
https://doi.org/10.1017/S002211209900539X |
container_title |
Journal of Fluid Mechanics |
container_volume |
391 |
container_start_page |
337 |
op_container_end_page |
357 |
_version_ |
1802649995320492032 |