Impact of water vapor diffusion and latent heat on the effective thermal conductivity of snow
International audience Abstract. Heat transport in snowpacks is understood to occur through the two processes of heat conduction and latent heat transport carried by water vapor, which are generally treated as decoupled from one another. This paper investigates the coupling between both these proces...
Published in: | The Cryosphere |
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Main Authors: | , , |
Other Authors: | , , , , , , , |
Format: | Article in Journal/Newspaper |
Language: | English |
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HAL CCSD
2021
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Online Access: | https://hal-insu.archives-ouvertes.fr/insu-03326421 https://hal-insu.archives-ouvertes.fr/insu-03326421/document https://hal-insu.archives-ouvertes.fr/insu-03326421/file/tc-15-2739-2021.pdf https://doi.org/10.5194/tc-15-2739-2021 |
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Open Polar |
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Université de Nantes: HAL-UNIV-NANTES |
op_collection_id |
ftunivnantes |
language |
English |
topic |
[SDU]Sciences of the Universe [physics] |
spellingShingle |
[SDU]Sciences of the Universe [physics] Fourteau, Kévin Domine, Florent Hagenmuller, Pascal Impact of water vapor diffusion and latent heat on the effective thermal conductivity of snow |
topic_facet |
[SDU]Sciences of the Universe [physics] |
description |
International audience Abstract. Heat transport in snowpacks is understood to occur through the two processes of heat conduction and latent heat transport carried by water vapor, which are generally treated as decoupled from one another. This paper investigates the coupling between both these processes in snow, with an emphasis on the impacts of the kinetics of the sublimation and deposition of water vapor onto ice. In the case when kinetics is fast, latent heat exchanges at ice surfaces modify their temperature and therefore the thermal gradient within ice crystals and the heat conduction through the entire microstructure. Furthermore, in this case, the effective thermal conductivity of snow can be expressed by a purely conductive term complemented by a term directly proportional to the effective diffusion coefficient of water vapor in snow, which illustrates the inextricable coupling between heat conduction and water vapor transport. Numerical simulations on measured three-dimensional snow microstructures reveal that the effective thermal conductivity of snow can be significantly larger, by up to about 50 % for low-density snow, than if water vapor transport is neglected. A comparison of our numerical simulations with literature data suggests that the fast kinetics hypothesis could be a reasonable assumption for modeling heat and mass transport in snow. Lastly, we demonstrate that under the fast kinetics hypothesis the effective diffusion coefficient of water vapor is related to the effective thermal conductivity by a simple linear relationship. Under such a condition, the effective diffusion coefficient of water vapor is expected to lie in the narrow 100 % to about 80 % range of the value of the diffusion coefficient of water vapor in air for most seasonal snows. This may greatly facilitate the parameterization of water vapor diffusion of snow in models. |
author2 |
Centre national de recherches météorologiques (CNRM) Institut national des sciences de l'Univers (INSU - CNRS)-Observatoire Midi-Pyrénées (OMP) Institut de Recherche pour le Développement (IRD)-Université Toulouse III - Paul Sabatier (UT3) Université Fédérale Toulouse Midi-Pyrénées-Université Fédérale Toulouse Midi-Pyrénées-Institut national des sciences de l'Univers (INSU - CNRS)-Centre National d'Études Spatiales Toulouse (CNES)-Centre National de la Recherche Scientifique (CNRS)-Météo-France -Institut de Recherche pour le Développement (IRD)-Université Toulouse III - Paul Sabatier (UT3) Université Fédérale Toulouse Midi-Pyrénées-Université Fédérale Toulouse Midi-Pyrénées-Institut national des sciences de l'Univers (INSU - CNRS)-Centre National d'Études Spatiales Toulouse (CNES)-Centre National de la Recherche Scientifique (CNRS)-Météo-France -Centre National de la Recherche Scientifique (CNRS) Takuvik Joint International Laboratory (IRL3376) Centre National de la Recherche Scientifique (CNRS) Institut national des sciences de l'Univers (INSU - CNRS) |
format |
Article in Journal/Newspaper |
author |
Fourteau, Kévin Domine, Florent Hagenmuller, Pascal |
author_facet |
Fourteau, Kévin Domine, Florent Hagenmuller, Pascal |
author_sort |
Fourteau, Kévin |
title |
Impact of water vapor diffusion and latent heat on the effective thermal conductivity of snow |
title_short |
Impact of water vapor diffusion and latent heat on the effective thermal conductivity of snow |
title_full |
Impact of water vapor diffusion and latent heat on the effective thermal conductivity of snow |
title_fullStr |
Impact of water vapor diffusion and latent heat on the effective thermal conductivity of snow |
title_full_unstemmed |
Impact of water vapor diffusion and latent heat on the effective thermal conductivity of snow |
title_sort |
impact of water vapor diffusion and latent heat on the effective thermal conductivity of snow |
publisher |
HAL CCSD |
publishDate |
2021 |
url |
https://hal-insu.archives-ouvertes.fr/insu-03326421 https://hal-insu.archives-ouvertes.fr/insu-03326421/document https://hal-insu.archives-ouvertes.fr/insu-03326421/file/tc-15-2739-2021.pdf https://doi.org/10.5194/tc-15-2739-2021 |
genre |
The Cryosphere |
genre_facet |
The Cryosphere |
op_source |
ISSN: 1994-0424 EISSN: 1994-0416 The Cryosphere https://hal-insu.archives-ouvertes.fr/insu-03326421 The Cryosphere, 2021, 15 (6), pp.2739-2755. ⟨10.5194/tc-15-2739-2021⟩ |
op_relation |
info:eu-repo/semantics/altIdentifier/doi/10.5194/tc-15-2739-2021 insu-03326421 https://hal-insu.archives-ouvertes.fr/insu-03326421 https://hal-insu.archives-ouvertes.fr/insu-03326421/document https://hal-insu.archives-ouvertes.fr/insu-03326421/file/tc-15-2739-2021.pdf doi:10.5194/tc-15-2739-2021 |
op_rights |
http://creativecommons.org/licenses/by/ info:eu-repo/semantics/OpenAccess |
op_doi |
https://doi.org/10.5194/tc-15-2739-2021 |
container_title |
The Cryosphere |
container_volume |
15 |
container_issue |
6 |
container_start_page |
2739 |
op_container_end_page |
2755 |
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1766216328416329728 |
spelling |
ftunivnantes:oai:HAL:insu-03326421v1 2023-05-15T18:32:14+02:00 Impact of water vapor diffusion and latent heat on the effective thermal conductivity of snow Fourteau, Kévin Domine, Florent Hagenmuller, Pascal Centre national de recherches météorologiques (CNRM) Institut national des sciences de l'Univers (INSU - CNRS)-Observatoire Midi-Pyrénées (OMP) Institut de Recherche pour le Développement (IRD)-Université Toulouse III - Paul Sabatier (UT3) Université Fédérale Toulouse Midi-Pyrénées-Université Fédérale Toulouse Midi-Pyrénées-Institut national des sciences de l'Univers (INSU - CNRS)-Centre National d'Études Spatiales Toulouse (CNES)-Centre National de la Recherche Scientifique (CNRS)-Météo-France -Institut de Recherche pour le Développement (IRD)-Université Toulouse III - Paul Sabatier (UT3) Université Fédérale Toulouse Midi-Pyrénées-Université Fédérale Toulouse Midi-Pyrénées-Institut national des sciences de l'Univers (INSU - CNRS)-Centre National d'Études Spatiales Toulouse (CNES)-Centre National de la Recherche Scientifique (CNRS)-Météo-France -Centre National de la Recherche Scientifique (CNRS) Takuvik Joint International Laboratory (IRL3376) Centre National de la Recherche Scientifique (CNRS) Institut national des sciences de l'Univers (INSU - CNRS) 2021 https://hal-insu.archives-ouvertes.fr/insu-03326421 https://hal-insu.archives-ouvertes.fr/insu-03326421/document https://hal-insu.archives-ouvertes.fr/insu-03326421/file/tc-15-2739-2021.pdf https://doi.org/10.5194/tc-15-2739-2021 en eng HAL CCSD Copernicus info:eu-repo/semantics/altIdentifier/doi/10.5194/tc-15-2739-2021 insu-03326421 https://hal-insu.archives-ouvertes.fr/insu-03326421 https://hal-insu.archives-ouvertes.fr/insu-03326421/document https://hal-insu.archives-ouvertes.fr/insu-03326421/file/tc-15-2739-2021.pdf doi:10.5194/tc-15-2739-2021 http://creativecommons.org/licenses/by/ info:eu-repo/semantics/OpenAccess ISSN: 1994-0424 EISSN: 1994-0416 The Cryosphere https://hal-insu.archives-ouvertes.fr/insu-03326421 The Cryosphere, 2021, 15 (6), pp.2739-2755. ⟨10.5194/tc-15-2739-2021⟩ [SDU]Sciences of the Universe [physics] info:eu-repo/semantics/article Journal articles 2021 ftunivnantes https://doi.org/10.5194/tc-15-2739-2021 2023-02-22T03:02:37Z International audience Abstract. Heat transport in snowpacks is understood to occur through the two processes of heat conduction and latent heat transport carried by water vapor, which are generally treated as decoupled from one another. This paper investigates the coupling between both these processes in snow, with an emphasis on the impacts of the kinetics of the sublimation and deposition of water vapor onto ice. In the case when kinetics is fast, latent heat exchanges at ice surfaces modify their temperature and therefore the thermal gradient within ice crystals and the heat conduction through the entire microstructure. Furthermore, in this case, the effective thermal conductivity of snow can be expressed by a purely conductive term complemented by a term directly proportional to the effective diffusion coefficient of water vapor in snow, which illustrates the inextricable coupling between heat conduction and water vapor transport. Numerical simulations on measured three-dimensional snow microstructures reveal that the effective thermal conductivity of snow can be significantly larger, by up to about 50 % for low-density snow, than if water vapor transport is neglected. A comparison of our numerical simulations with literature data suggests that the fast kinetics hypothesis could be a reasonable assumption for modeling heat and mass transport in snow. Lastly, we demonstrate that under the fast kinetics hypothesis the effective diffusion coefficient of water vapor is related to the effective thermal conductivity by a simple linear relationship. Under such a condition, the effective diffusion coefficient of water vapor is expected to lie in the narrow 100 % to about 80 % range of the value of the diffusion coefficient of water vapor in air for most seasonal snows. This may greatly facilitate the parameterization of water vapor diffusion of snow in models. Article in Journal/Newspaper The Cryosphere Université de Nantes: HAL-UNIV-NANTES The Cryosphere 15 6 2739 2755 |