Air convection in snow cover of sea ice
For the first time, data on stability of stationary convective filtration within infinite horizontal layer of snow covering the flat surface of floating ice is presented in this article. An analytical solution of the linearized problem was obtained with the use of the Galerkin method, and the parame...
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ftdoajarticles:oai:doaj.org/article:8d0f0b2da2244fb89e115a9a5b9b3920 2023-05-15T17:07:18+02:00 Air convection in snow cover of sea ice P. V. Bogorodskiy V. A. Borodkin V. Yu. Kustov A. A. Sumkina 2020-11-01T00:00:00Z https://doi.org/10.31857/S2076673420040060 https://doaj.org/article/8d0f0b2da2244fb89e115a9a5b9b3920 RU rus Nauka https://ice-snow.igras.ru/jour/article/view/841 https://doaj.org/toc/2076-6734 https://doaj.org/toc/2412-3765 2076-6734 2412-3765 doi:10.31857/S2076673420040060 https://doaj.org/article/8d0f0b2da2244fb89e115a9a5b9b3920 Лëд и снег, Vol 60, Iss 4, Pp 557-566 (2020) конвективная неустойчивость критическое число рэлея термодинамическая модель Science Q article 2020 ftdoajarticles https://doi.org/10.31857/S2076673420040060 2023-03-19T01:40:11Z For the first time, data on stability of stationary convective filtration within infinite horizontal layer of snow covering the flat surface of floating ice is presented in this article. An analytical solution of the linearized problem was obtained with the use of the Galerkin method, and the parametric analysis of the problem was performed. It was found that the stability criteria (Rayleigh filtration numbers) obtained with consideration for the heat exchange of snow cover with the atmosphere did not exceed the known value of 4π2 for a horizontal porous layer with impermeable isothermal boundaries. As expected, the interaction with the atmosphere has the most significant impact on the critical Rayleigh numbers, while influence of variations in snow density and ice thickness and the thickness of the underlying layer of ice are small. Based on data of ice and meteorological observations made in the winter of 2015/16 in the Western part of the Laptev Sea together with calculations of the fast ice evolution, the values and temporal variability of temperature gradients and the Rayleigh numbers in the snow cover were obtained using a thermodynamic model. It was found that both, the model and observed magnitudes, exceeded their critical values determined by solving the stability problem. The conclusion is made that the convective regime of the heat transfer does really exist in the snow cover, and thus its contribution to the thermal and mass balance of sea ice during winter period should be taken into account. Article in Journal/Newspaper laptev Laptev Sea Sea ice Directory of Open Access Journals: DOAJ Articles Laptev Sea Ice and Snow 60 4 557 566 |
institution |
Open Polar |
collection |
Directory of Open Access Journals: DOAJ Articles |
op_collection_id |
ftdoajarticles |
language |
Russian |
topic |
конвективная неустойчивость критическое число рэлея термодинамическая модель Science Q |
spellingShingle |
конвективная неустойчивость критическое число рэлея термодинамическая модель Science Q P. V. Bogorodskiy V. A. Borodkin V. Yu. Kustov A. A. Sumkina Air convection in snow cover of sea ice |
topic_facet |
конвективная неустойчивость критическое число рэлея термодинамическая модель Science Q |
description |
For the first time, data on stability of stationary convective filtration within infinite horizontal layer of snow covering the flat surface of floating ice is presented in this article. An analytical solution of the linearized problem was obtained with the use of the Galerkin method, and the parametric analysis of the problem was performed. It was found that the stability criteria (Rayleigh filtration numbers) obtained with consideration for the heat exchange of snow cover with the atmosphere did not exceed the known value of 4π2 for a horizontal porous layer with impermeable isothermal boundaries. As expected, the interaction with the atmosphere has the most significant impact on the critical Rayleigh numbers, while influence of variations in snow density and ice thickness and the thickness of the underlying layer of ice are small. Based on data of ice and meteorological observations made in the winter of 2015/16 in the Western part of the Laptev Sea together with calculations of the fast ice evolution, the values and temporal variability of temperature gradients and the Rayleigh numbers in the snow cover were obtained using a thermodynamic model. It was found that both, the model and observed magnitudes, exceeded their critical values determined by solving the stability problem. The conclusion is made that the convective regime of the heat transfer does really exist in the snow cover, and thus its contribution to the thermal and mass balance of sea ice during winter period should be taken into account. |
format |
Article in Journal/Newspaper |
author |
P. V. Bogorodskiy V. A. Borodkin V. Yu. Kustov A. A. Sumkina |
author_facet |
P. V. Bogorodskiy V. A. Borodkin V. Yu. Kustov A. A. Sumkina |
author_sort |
P. V. Bogorodskiy |
title |
Air convection in snow cover of sea ice |
title_short |
Air convection in snow cover of sea ice |
title_full |
Air convection in snow cover of sea ice |
title_fullStr |
Air convection in snow cover of sea ice |
title_full_unstemmed |
Air convection in snow cover of sea ice |
title_sort |
air convection in snow cover of sea ice |
publisher |
Nauka |
publishDate |
2020 |
url |
https://doi.org/10.31857/S2076673420040060 https://doaj.org/article/8d0f0b2da2244fb89e115a9a5b9b3920 |
geographic |
Laptev Sea |
geographic_facet |
Laptev Sea |
genre |
laptev Laptev Sea Sea ice |
genre_facet |
laptev Laptev Sea Sea ice |
op_source |
Лëд и снег, Vol 60, Iss 4, Pp 557-566 (2020) |
op_relation |
https://ice-snow.igras.ru/jour/article/view/841 https://doaj.org/toc/2076-6734 https://doaj.org/toc/2412-3765 2076-6734 2412-3765 doi:10.31857/S2076673420040060 https://doaj.org/article/8d0f0b2da2244fb89e115a9a5b9b3920 |
op_doi |
https://doi.org/10.31857/S2076673420040060 |
container_title |
Ice and Snow |
container_volume |
60 |
container_issue |
4 |
container_start_page |
557 |
op_container_end_page |
566 |
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1766062672091021312 |