A Concise Method for Analyzing the Ice-Melting Performance of a Heated Disc
Abstract Shreve (1962) evaluated the performance of solid-nose hotpoints of various geometries. A more concise method for analysis of the special case of a flat disc melting into ice is presented here. In contrast to the numerical solution presented by Shreve, this method results in a closed analyti...
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Language: | English |
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Cambridge University Press (CUP)
1976
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Online Access: | http://dx.doi.org/10.1017/s0022143000013642 https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0022143000013642 |
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crcambridgeupr:10.1017/s0022143000013642 2024-03-03T08:46:05+00:00 A Concise Method for Analyzing the Ice-Melting Performance of a Heated Disc Lea, J.F. 1976 http://dx.doi.org/10.1017/s0022143000013642 https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0022143000013642 en eng Cambridge University Press (CUP) Journal of Glaciology volume 17, issue 76, page 355-358 ISSN 0022-1430 1727-5652 Earth-Surface Processes journal-article 1976 crcambridgeupr https://doi.org/10.1017/s0022143000013642 2024-02-08T08:42:50Z Abstract Shreve (1962) evaluated the performance of solid-nose hotpoints of various geometries. A more concise method for analysis of the special case of a flat disc melting into ice is presented here. In contrast to the numerical solution presented by Shreve, this method results in a closed analytical solution, based on constant properties, which is corrected using a property ratio scheme. This technique allows the substitution of various fluid properties into the solutions as might be required when considering contaminated or saline ice or other liquids. Shreve's method would require some additional numerical work to evaluate various properties because the temperature dependence of the viscosity of water is integrated into the results. Results obtained for the flat disc using this method are shown to compare favorably with Shreve's, indicating that this type of analysis may be applicable to other melt-unit geometries. Article in Journal/Newspaper Journal of Glaciology Cambridge University Press Journal of Glaciology 17 76 355 358 |
institution |
Open Polar |
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Cambridge University Press |
op_collection_id |
crcambridgeupr |
language |
English |
topic |
Earth-Surface Processes |
spellingShingle |
Earth-Surface Processes Lea, J.F. A Concise Method for Analyzing the Ice-Melting Performance of a Heated Disc |
topic_facet |
Earth-Surface Processes |
description |
Abstract Shreve (1962) evaluated the performance of solid-nose hotpoints of various geometries. A more concise method for analysis of the special case of a flat disc melting into ice is presented here. In contrast to the numerical solution presented by Shreve, this method results in a closed analytical solution, based on constant properties, which is corrected using a property ratio scheme. This technique allows the substitution of various fluid properties into the solutions as might be required when considering contaminated or saline ice or other liquids. Shreve's method would require some additional numerical work to evaluate various properties because the temperature dependence of the viscosity of water is integrated into the results. Results obtained for the flat disc using this method are shown to compare favorably with Shreve's, indicating that this type of analysis may be applicable to other melt-unit geometries. |
format |
Article in Journal/Newspaper |
author |
Lea, J.F. |
author_facet |
Lea, J.F. |
author_sort |
Lea, J.F. |
title |
A Concise Method for Analyzing the Ice-Melting Performance of a Heated Disc |
title_short |
A Concise Method for Analyzing the Ice-Melting Performance of a Heated Disc |
title_full |
A Concise Method for Analyzing the Ice-Melting Performance of a Heated Disc |
title_fullStr |
A Concise Method for Analyzing the Ice-Melting Performance of a Heated Disc |
title_full_unstemmed |
A Concise Method for Analyzing the Ice-Melting Performance of a Heated Disc |
title_sort |
concise method for analyzing the ice-melting performance of a heated disc |
publisher |
Cambridge University Press (CUP) |
publishDate |
1976 |
url |
http://dx.doi.org/10.1017/s0022143000013642 https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0022143000013642 |
genre |
Journal of Glaciology |
genre_facet |
Journal of Glaciology |
op_source |
Journal of Glaciology volume 17, issue 76, page 355-358 ISSN 0022-1430 1727-5652 |
op_doi |
https://doi.org/10.1017/s0022143000013642 |
container_title |
Journal of Glaciology |
container_volume |
17 |
container_issue |
76 |
container_start_page |
355 |
op_container_end_page |
358 |
_version_ |
1792501966876704768 |