On The Temperature Profile and the Age Profile in the Central Part of Cold Ice Sheets

Abstract The generalized Glen’s law έ = έ 0 T n exp ( kθ ) is used to calculate die horizontal and vertical velocity profiles and from these the temperature and age profiles of cold ice sheets. It is shown that, by substituting for θ a function increasing linearly with height, velocity profiles for...

Full description

Bibliographic Details
Published in:Journal of Glaciology
Main Authors: Philberth, K., Federer, B.
Format: Article in Journal/Newspaper
Language:English
Published: Cambridge University Press (CUP) 1971
Subjects:
Online Access:http://dx.doi.org/10.1017/s0022143000012958
https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0022143000012958
id crcambridgeupr:10.1017/s0022143000012958
record_format openpolar
spelling crcambridgeupr:10.1017/s0022143000012958 2024-03-03T08:46:09+00:00 On The Temperature Profile and the Age Profile in the Central Part of Cold Ice Sheets Philberth, K. Federer, B. 1971 http://dx.doi.org/10.1017/s0022143000012958 https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0022143000012958 en eng Cambridge University Press (CUP) Journal of Glaciology volume 10, issue 58, page 3-14 ISSN 0022-1430 1727-5652 Earth-Surface Processes journal-article 1971 crcambridgeupr https://doi.org/10.1017/s0022143000012958 2024-02-08T08:36:10Z Abstract The generalized Glen’s law έ = έ 0 T n exp ( kθ ) is used to calculate die horizontal and vertical velocity profiles and from these the temperature and age profiles of cold ice sheets. It is shown that, by substituting for θ a function increasing linearly with height, velocity profiles for all ice sheets are obtained which represent excellent approximations to the true ones, since, above a critical height h e where the deviation from linearity becomes large, the influence of temperature on ice flow becomes negligible. In a comparison of the present theory with Robin’s (1955) treatment a larger temperature difference Δ T of up to 30% is obtained. Furthermore the present theory yields an age considerably increased compared with Nye’s model; e.g. more than 50% at a relative height of h\H = 0·1. Article in Journal/Newspaper Journal of Glaciology Cambridge University Press Journal of Glaciology 10 58 3 14
institution Open Polar
collection Cambridge University Press
op_collection_id crcambridgeupr
language English
topic Earth-Surface Processes
spellingShingle Earth-Surface Processes
Philberth, K.
Federer, B.
On The Temperature Profile and the Age Profile in the Central Part of Cold Ice Sheets
topic_facet Earth-Surface Processes
description Abstract The generalized Glen’s law έ = έ 0 T n exp ( kθ ) is used to calculate die horizontal and vertical velocity profiles and from these the temperature and age profiles of cold ice sheets. It is shown that, by substituting for θ a function increasing linearly with height, velocity profiles for all ice sheets are obtained which represent excellent approximations to the true ones, since, above a critical height h e where the deviation from linearity becomes large, the influence of temperature on ice flow becomes negligible. In a comparison of the present theory with Robin’s (1955) treatment a larger temperature difference Δ T of up to 30% is obtained. Furthermore the present theory yields an age considerably increased compared with Nye’s model; e.g. more than 50% at a relative height of h\H = 0·1.
format Article in Journal/Newspaper
author Philberth, K.
Federer, B.
author_facet Philberth, K.
Federer, B.
author_sort Philberth, K.
title On The Temperature Profile and the Age Profile in the Central Part of Cold Ice Sheets
title_short On The Temperature Profile and the Age Profile in the Central Part of Cold Ice Sheets
title_full On The Temperature Profile and the Age Profile in the Central Part of Cold Ice Sheets
title_fullStr On The Temperature Profile and the Age Profile in the Central Part of Cold Ice Sheets
title_full_unstemmed On The Temperature Profile and the Age Profile in the Central Part of Cold Ice Sheets
title_sort on the temperature profile and the age profile in the central part of cold ice sheets
publisher Cambridge University Press (CUP)
publishDate 1971
url http://dx.doi.org/10.1017/s0022143000012958
https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0022143000012958
genre Journal of Glaciology
genre_facet Journal of Glaciology
op_source Journal of Glaciology
volume 10, issue 58, page 3-14
ISSN 0022-1430 1727-5652
op_doi https://doi.org/10.1017/s0022143000012958
container_title Journal of Glaciology
container_volume 10
container_issue 58
container_start_page 3
op_container_end_page 14
_version_ 1792502095582068736