Near-surface flow in glaciers obeying Glen's law
In determining the gravity-driven flow of a glacier or ice sheet which obeys Glen's flow law, previous methods have predicted infinite longitudinal stress at the glacier's surface. This physically unacceptable occurrence is due to a break-down in the mathematical methods used to obtain the...
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ftciteseerx:oai:CiteSeerX.psu:10.1.1.1027.2504 2023-05-15T16:40:21+02:00 Near-surface flow in glaciers obeying Glen's law E. Johnson Robert M. Mcmeeking The Pennsylvania State University CiteSeerX Archives 1982 application/pdf http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.1027.2504 http://qjmam.oxfordjournals.org/content/37/2/273.full.pdf en eng http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.1027.2504 http://qjmam.oxfordjournals.org/content/37/2/273.full.pdf Metadata may be used without restrictions as long as the oai identifier remains attached to it. http://qjmam.oxfordjournals.org/content/37/2/273.full.pdf text 1982 ftciteseerx 2016-10-30T00:04:22Z In determining the gravity-driven flow of a glacier or ice sheet which obeys Glen's flow law, previous methods have predicted infinite longitudinal stress at the glacier's surface. This physically unacceptable occurrence is due to a break-down in the mathematical methods used to obtain the solution. Using the method of matched asymptotic expansions, the solution valid in the near-surface region of a steady-state glacier is determined. The size of the near-surface or boundary-layer region is found to be of order S1/n, where S = hJL is the assumed small ratio of the characteristic thickness and length of the ice sheet and n is the exponent in Glen's power law. The solution is obtained for ice sheets on both a steep and gentle base slope. The stress field in the near-surface region is obtained and we find that the boundary layer does not significantly affect the surface velocities or the glacier profile. 1. Text Ice Sheet Unknown |
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Open Polar |
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ftciteseerx |
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English |
description |
In determining the gravity-driven flow of a glacier or ice sheet which obeys Glen's flow law, previous methods have predicted infinite longitudinal stress at the glacier's surface. This physically unacceptable occurrence is due to a break-down in the mathematical methods used to obtain the solution. Using the method of matched asymptotic expansions, the solution valid in the near-surface region of a steady-state glacier is determined. The size of the near-surface or boundary-layer region is found to be of order S1/n, where S = hJL is the assumed small ratio of the characteristic thickness and length of the ice sheet and n is the exponent in Glen's power law. The solution is obtained for ice sheets on both a steep and gentle base slope. The stress field in the near-surface region is obtained and we find that the boundary layer does not significantly affect the surface velocities or the glacier profile. 1. |
author2 |
The Pennsylvania State University CiteSeerX Archives |
format |
Text |
author |
E. Johnson Robert M. Mcmeeking |
spellingShingle |
E. Johnson Robert M. Mcmeeking Near-surface flow in glaciers obeying Glen's law |
author_facet |
E. Johnson Robert M. Mcmeeking |
author_sort |
E. Johnson |
title |
Near-surface flow in glaciers obeying Glen's law |
title_short |
Near-surface flow in glaciers obeying Glen's law |
title_full |
Near-surface flow in glaciers obeying Glen's law |
title_fullStr |
Near-surface flow in glaciers obeying Glen's law |
title_full_unstemmed |
Near-surface flow in glaciers obeying Glen's law |
title_sort |
near-surface flow in glaciers obeying glen's law |
publishDate |
1982 |
url |
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.1027.2504 http://qjmam.oxfordjournals.org/content/37/2/273.full.pdf |
genre |
Ice Sheet |
genre_facet |
Ice Sheet |
op_source |
http://qjmam.oxfordjournals.org/content/37/2/273.full.pdf |
op_relation |
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.1027.2504 http://qjmam.oxfordjournals.org/content/37/2/273.full.pdf |
op_rights |
Metadata may be used without restrictions as long as the oai identifier remains attached to it. |
_version_ |
1766030736305946624 |