On the Use of Asymptotic Solutions to Plane Ice—Water Problems
The paper considers one-dimensional freezing and thawing of ice–water systems for the conditions first examined by Stefan. An order-of-magnitude analysis applied to the governing equations and boundary conditions quantifies the error resulting from the neglect of various factors. Principal among the...
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Language: | English |
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Cambridge University Press (CUP)
1969
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Online Access: | http://dx.doi.org/10.1017/s0022143000031269 https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0022143000031269 |
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crcambridgeupr:10.1017/s0022143000031269 2024-05-19T07:43:13+00:00 On the Use of Asymptotic Solutions to Plane Ice—Water Problems Lock, G. S. H. 1969 http://dx.doi.org/10.1017/s0022143000031269 https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0022143000031269 en eng Cambridge University Press (CUP) Journal of Glaciology volume 8, issue 53, page 285-300 ISSN 0022-1430 1727-5652 journal-article 1969 crcambridgeupr https://doi.org/10.1017/s0022143000031269 2024-04-25T06:51:20Z The paper considers one-dimensional freezing and thawing of ice–water systems for the conditions first examined by Stefan. An order-of-magnitude analysis applied to the governing equations and boundary conditions quantifies the error resulting from the neglect of various factors. Principal among these are density difference, initial superheat and variable properties. Asymptotic solutions for the temperature distribution and interface history are developed for a wide range of boundary conditions: prescribed temperature or heat flux, prescribed convection and prescribed radiation. Comparison with known results reveals the general adequacy of the asymptotic solutions and an estimate of the error incurred. Article in Journal/Newspaper Journal of Glaciology Cambridge University Press Journal of Glaciology 8 53 285 300 |
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Open Polar |
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Cambridge University Press |
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crcambridgeupr |
language |
English |
description |
The paper considers one-dimensional freezing and thawing of ice–water systems for the conditions first examined by Stefan. An order-of-magnitude analysis applied to the governing equations and boundary conditions quantifies the error resulting from the neglect of various factors. Principal among these are density difference, initial superheat and variable properties. Asymptotic solutions for the temperature distribution and interface history are developed for a wide range of boundary conditions: prescribed temperature or heat flux, prescribed convection and prescribed radiation. Comparison with known results reveals the general adequacy of the asymptotic solutions and an estimate of the error incurred. |
format |
Article in Journal/Newspaper |
author |
Lock, G. S. H. |
spellingShingle |
Lock, G. S. H. On the Use of Asymptotic Solutions to Plane Ice—Water Problems |
author_facet |
Lock, G. S. H. |
author_sort |
Lock, G. S. H. |
title |
On the Use of Asymptotic Solutions to Plane Ice—Water Problems |
title_short |
On the Use of Asymptotic Solutions to Plane Ice—Water Problems |
title_full |
On the Use of Asymptotic Solutions to Plane Ice—Water Problems |
title_fullStr |
On the Use of Asymptotic Solutions to Plane Ice—Water Problems |
title_full_unstemmed |
On the Use of Asymptotic Solutions to Plane Ice—Water Problems |
title_sort |
on the use of asymptotic solutions to plane ice—water problems |
publisher |
Cambridge University Press (CUP) |
publishDate |
1969 |
url |
http://dx.doi.org/10.1017/s0022143000031269 https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0022143000031269 |
genre |
Journal of Glaciology |
genre_facet |
Journal of Glaciology |
op_source |
Journal of Glaciology volume 8, issue 53, page 285-300 ISSN 0022-1430 1727-5652 |
op_doi |
https://doi.org/10.1017/s0022143000031269 |
container_title |
Journal of Glaciology |
container_volume |
8 |
container_issue |
53 |
container_start_page |
285 |
op_container_end_page |
300 |
_version_ |
1799482939008876544 |