MODELLING SEA ICE GROWTH
Abstract The freezing of water to ice is a classic problem in applied mathematics, involving the solution of a diffusion equation with a moving boundary. However, when the water is salty, the transport of salt rejected by ice introduces some interesting twists to the tale. A number of analytic model...
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Cambridge University Press (CUP)
2009
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Online Access: | http://dx.doi.org/10.1017/s1446181109000029 https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S1446181109000029 |
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crcambridgeupr:10.1017/s1446181109000029 2023-06-11T04:07:05+02:00 MODELLING SEA ICE GROWTH MCGUINNESS, MARK J. 2009 http://dx.doi.org/10.1017/s1446181109000029 https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S1446181109000029 en eng Cambridge University Press (CUP) https://www.cambridge.org/core/terms The ANZIAM Journal volume 50, issue 3, page 306-319 ISSN 1446-1811 1446-8735 Mathematics (miscellaneous) journal-article 2009 crcambridgeupr https://doi.org/10.1017/s1446181109000029 2023-05-01T18:20:10Z Abstract The freezing of water to ice is a classic problem in applied mathematics, involving the solution of a diffusion equation with a moving boundary. However, when the water is salty, the transport of salt rejected by ice introduces some interesting twists to the tale. A number of analytic models for the freezing of water are briefly reviewed, ranging from the famous work by Neumann and Stefan in the 1800s, to the mushy zone models coming out of Cambridge and Oxford since the 1980s. The successes and limitations of these models, and remaining modelling issues, are considered in the case of freezing sea-water in the Arctic and Antarctic Oceans. A new, simple model which includes turbulent transport of heat and salt between ice and ocean is introduced and solved analytically, in two different cases—one where turbulence is given by a constant friction velocity, and the other where turbulence is buoyancy-driven and hence depends on ice thickness. Salt is found to play an important role, lowering interface temperatures, increasing oceanic heat flux, and slowing ice growth. Article in Journal/Newspaper Antarc* Antarctic Arctic Sea ice Cambridge University Press (via Crossref) Arctic Antarctic The ANZIAM Journal 50 3 306 319 |
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Open Polar |
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Cambridge University Press (via Crossref) |
op_collection_id |
crcambridgeupr |
language |
English |
topic |
Mathematics (miscellaneous) |
spellingShingle |
Mathematics (miscellaneous) MCGUINNESS, MARK J. MODELLING SEA ICE GROWTH |
topic_facet |
Mathematics (miscellaneous) |
description |
Abstract The freezing of water to ice is a classic problem in applied mathematics, involving the solution of a diffusion equation with a moving boundary. However, when the water is salty, the transport of salt rejected by ice introduces some interesting twists to the tale. A number of analytic models for the freezing of water are briefly reviewed, ranging from the famous work by Neumann and Stefan in the 1800s, to the mushy zone models coming out of Cambridge and Oxford since the 1980s. The successes and limitations of these models, and remaining modelling issues, are considered in the case of freezing sea-water in the Arctic and Antarctic Oceans. A new, simple model which includes turbulent transport of heat and salt between ice and ocean is introduced and solved analytically, in two different cases—one where turbulence is given by a constant friction velocity, and the other where turbulence is buoyancy-driven and hence depends on ice thickness. Salt is found to play an important role, lowering interface temperatures, increasing oceanic heat flux, and slowing ice growth. |
format |
Article in Journal/Newspaper |
author |
MCGUINNESS, MARK J. |
author_facet |
MCGUINNESS, MARK J. |
author_sort |
MCGUINNESS, MARK J. |
title |
MODELLING SEA ICE GROWTH |
title_short |
MODELLING SEA ICE GROWTH |
title_full |
MODELLING SEA ICE GROWTH |
title_fullStr |
MODELLING SEA ICE GROWTH |
title_full_unstemmed |
MODELLING SEA ICE GROWTH |
title_sort |
modelling sea ice growth |
publisher |
Cambridge University Press (CUP) |
publishDate |
2009 |
url |
http://dx.doi.org/10.1017/s1446181109000029 https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S1446181109000029 |
geographic |
Arctic Antarctic |
geographic_facet |
Arctic Antarctic |
genre |
Antarc* Antarctic Arctic Sea ice |
genre_facet |
Antarc* Antarctic Arctic Sea ice |
op_source |
The ANZIAM Journal volume 50, issue 3, page 306-319 ISSN 1446-1811 1446-8735 |
op_rights |
https://www.cambridge.org/core/terms |
op_doi |
https://doi.org/10.1017/s1446181109000029 |
container_title |
The ANZIAM Journal |
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50 |
container_issue |
3 |
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306 |
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319 |
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1768379707988901888 |