Influence of non-uniform temperature distribution on the steady motion of ice sheets
The plane steady flow of a grounded ice sheet is analysed under the assumption that the ice behaves as a nonlinearly viscous fluid with a strongly temperature-dependent rate factor. It is supposed that the accumulation/ablation distribution on the (unknown) free surface is prescribed, and that there...
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Cambridge University Press (CUP)
1984
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Online Access: | http://dx.doi.org/10.1017/s0022112084000537 https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0022112084000537 |
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crcambridgeupr:10.1017/s0022112084000537 2024-03-03T08:45:25+00:00 Influence of non-uniform temperature distribution on the steady motion of ice sheets Morland, L. W. Smith, G. D. 1984 http://dx.doi.org/10.1017/s0022112084000537 https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0022112084000537 en eng Cambridge University Press (CUP) https://www.cambridge.org/core/terms Journal of Fluid Mechanics volume 140, page 113-133 ISSN 0022-1120 1469-7645 Mechanical Engineering Mechanics of Materials Condensed Matter Physics Applied Mathematics journal-article 1984 crcambridgeupr https://doi.org/10.1017/s0022112084000537 2024-02-08T08:34:21Z The plane steady flow of a grounded ice sheet is analysed under the assumption that the ice behaves as a nonlinearly viscous fluid with a strongly temperature-dependent rate factor. It is supposed that the accumulation/ablation distribution on the (unknown) free surface is prescribed, and that there is a given basal sliding condition connecting the tangential velocity, tangential traction and normal pressure. The basal boundary is defined as the smooth contour which describes the mean topography viewed on the ice-sheet lengthscale, and is assumed to have small slope. The perturbation analysis which reduces the isothermal or constant rate factor equations to an ordinary differential equation for the leading-order profile is now extended with similar success to the non-isothermal problem when the temperature distribution is prescribed. That is, the thermomechanically coupled energy balance is not solved, but families of temperature distributions qualitatively compatible with observed patterns are adopted to exhibit the effects of significant creep-rate variation with temperature. Article in Journal/Newspaper Ice Sheet Cambridge University Press Journal of Fluid Mechanics 140 113 133 |
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Open Polar |
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Cambridge University Press |
op_collection_id |
crcambridgeupr |
language |
English |
topic |
Mechanical Engineering Mechanics of Materials Condensed Matter Physics Applied Mathematics |
spellingShingle |
Mechanical Engineering Mechanics of Materials Condensed Matter Physics Applied Mathematics Morland, L. W. Smith, G. D. Influence of non-uniform temperature distribution on the steady motion of ice sheets |
topic_facet |
Mechanical Engineering Mechanics of Materials Condensed Matter Physics Applied Mathematics |
description |
The plane steady flow of a grounded ice sheet is analysed under the assumption that the ice behaves as a nonlinearly viscous fluid with a strongly temperature-dependent rate factor. It is supposed that the accumulation/ablation distribution on the (unknown) free surface is prescribed, and that there is a given basal sliding condition connecting the tangential velocity, tangential traction and normal pressure. The basal boundary is defined as the smooth contour which describes the mean topography viewed on the ice-sheet lengthscale, and is assumed to have small slope. The perturbation analysis which reduces the isothermal or constant rate factor equations to an ordinary differential equation for the leading-order profile is now extended with similar success to the non-isothermal problem when the temperature distribution is prescribed. That is, the thermomechanically coupled energy balance is not solved, but families of temperature distributions qualitatively compatible with observed patterns are adopted to exhibit the effects of significant creep-rate variation with temperature. |
format |
Article in Journal/Newspaper |
author |
Morland, L. W. Smith, G. D. |
author_facet |
Morland, L. W. Smith, G. D. |
author_sort |
Morland, L. W. |
title |
Influence of non-uniform temperature distribution on the steady motion of ice sheets |
title_short |
Influence of non-uniform temperature distribution on the steady motion of ice sheets |
title_full |
Influence of non-uniform temperature distribution on the steady motion of ice sheets |
title_fullStr |
Influence of non-uniform temperature distribution on the steady motion of ice sheets |
title_full_unstemmed |
Influence of non-uniform temperature distribution on the steady motion of ice sheets |
title_sort |
influence of non-uniform temperature distribution on the steady motion of ice sheets |
publisher |
Cambridge University Press (CUP) |
publishDate |
1984 |
url |
http://dx.doi.org/10.1017/s0022112084000537 https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0022112084000537 |
genre |
Ice Sheet |
genre_facet |
Ice Sheet |
op_source |
Journal of Fluid Mechanics volume 140, page 113-133 ISSN 0022-1120 1469-7645 |
op_rights |
https://www.cambridge.org/core/terms |
op_doi |
https://doi.org/10.1017/s0022112084000537 |
container_title |
Journal of Fluid Mechanics |
container_volume |
140 |
container_start_page |
113 |
op_container_end_page |
133 |
_version_ |
1792500969022423040 |