Onset of convective instabilities in under-ice melt ponds
International audience The onset of double-diffusive natural convection in under-ice melt ponds is investigated through a linear stability analysis. The three-layer configuration is composed by a fluid layer (melt pond) overlying a saturated porous medium (ice matrix), which in turn overlies another...
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Online Access: | https://hal.archives-ouvertes.fr/hal-00720267 https://doi.org/10.1103/PhysRevE.85.066306 |
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ftccsdartic:oai:HAL:hal-00720267v1 2023-05-15T15:04:06+02:00 Onset of convective instabilities in under-ice melt ponds Hirata, Silvia C Goyeau, Benoit Gobin, Dominique Laboratoire de Mécanique de Lille - FRE 3723 (LML) Université de Lille, Sciences et Technologies-Centrale Lille-Centre National de la Recherche Scientifique (CNRS) Laboratoire d'Énergétique Moléculaire et Macroscopique, Combustion (EM2C) Université Paris Saclay (COmUE)-Centre National de la Recherche Scientifique (CNRS)-CentraleSupélec 2012 https://hal.archives-ouvertes.fr/hal-00720267 https://doi.org/10.1103/PhysRevE.85.066306 en eng HAL CCSD American Physical Society info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevE.85.066306 hal-00720267 https://hal.archives-ouvertes.fr/hal-00720267 doi:10.1103/PhysRevE.85.066306 ISSN: 1539-3755 EISSN: 1550-2376 Physical Review E : Statistical, Nonlinear, and Soft Matter Physics https://hal.archives-ouvertes.fr/hal-00720267 Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, American Physical Society, 2012, 85 (6), pp.066306. ⟨10.1103/PhysRevE.85.066306⟩ info:eu-repo/semantics/article Journal articles 2012 ftccsdartic https://doi.org/10.1103/PhysRevE.85.066306 2021-12-19T03:25:34Z International audience The onset of double-diffusive natural convection in under-ice melt ponds is investigated through a linear stability analysis. The three-layer configuration is composed by a fluid layer (melt pond) overlying a saturated porous medium (ice matrix), which in turn overlies another fluid layer (under-ice melt pond). Water density inversion is taken into account by adopting a density profile with a quadratic temperature dependence and a linear concentration dependence. We show that the key parameter affecting stability is the depth of the ice matrix, while the depths of the upper and lower fluid layers play a marginal role. A Hopf bifurcation is observed in the whole range of parameters studied, and the size of the convection cells depends on ice permeability. The influence of the external temperature gradient is investigated by means of the definition of an extra thermal parameter accounting for the relative position of the density maximum. It is shown that convection is favored by larger temperature gradients, which occur during Arctic summer. Article in Journal/Newspaper Arctic Archive ouverte HAL (Hyper Article en Ligne, CCSD - Centre pour la Communication Scientifique Directe) Arctic Physical Review E 85 6 |
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Archive ouverte HAL (Hyper Article en Ligne, CCSD - Centre pour la Communication Scientifique Directe) |
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ftccsdartic |
language |
English |
description |
International audience The onset of double-diffusive natural convection in under-ice melt ponds is investigated through a linear stability analysis. The three-layer configuration is composed by a fluid layer (melt pond) overlying a saturated porous medium (ice matrix), which in turn overlies another fluid layer (under-ice melt pond). Water density inversion is taken into account by adopting a density profile with a quadratic temperature dependence and a linear concentration dependence. We show that the key parameter affecting stability is the depth of the ice matrix, while the depths of the upper and lower fluid layers play a marginal role. A Hopf bifurcation is observed in the whole range of parameters studied, and the size of the convection cells depends on ice permeability. The influence of the external temperature gradient is investigated by means of the definition of an extra thermal parameter accounting for the relative position of the density maximum. It is shown that convection is favored by larger temperature gradients, which occur during Arctic summer. |
author2 |
Laboratoire de Mécanique de Lille - FRE 3723 (LML) Université de Lille, Sciences et Technologies-Centrale Lille-Centre National de la Recherche Scientifique (CNRS) Laboratoire d'Énergétique Moléculaire et Macroscopique, Combustion (EM2C) Université Paris Saclay (COmUE)-Centre National de la Recherche Scientifique (CNRS)-CentraleSupélec |
format |
Article in Journal/Newspaper |
author |
Hirata, Silvia C Goyeau, Benoit Gobin, Dominique |
spellingShingle |
Hirata, Silvia C Goyeau, Benoit Gobin, Dominique Onset of convective instabilities in under-ice melt ponds |
author_facet |
Hirata, Silvia C Goyeau, Benoit Gobin, Dominique |
author_sort |
Hirata, Silvia C |
title |
Onset of convective instabilities in under-ice melt ponds |
title_short |
Onset of convective instabilities in under-ice melt ponds |
title_full |
Onset of convective instabilities in under-ice melt ponds |
title_fullStr |
Onset of convective instabilities in under-ice melt ponds |
title_full_unstemmed |
Onset of convective instabilities in under-ice melt ponds |
title_sort |
onset of convective instabilities in under-ice melt ponds |
publisher |
HAL CCSD |
publishDate |
2012 |
url |
https://hal.archives-ouvertes.fr/hal-00720267 https://doi.org/10.1103/PhysRevE.85.066306 |
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Arctic |
geographic_facet |
Arctic |
genre |
Arctic |
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Arctic |
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ISSN: 1539-3755 EISSN: 1550-2376 Physical Review E : Statistical, Nonlinear, and Soft Matter Physics https://hal.archives-ouvertes.fr/hal-00720267 Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, American Physical Society, 2012, 85 (6), pp.066306. ⟨10.1103/PhysRevE.85.066306⟩ |
op_relation |
info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevE.85.066306 hal-00720267 https://hal.archives-ouvertes.fr/hal-00720267 doi:10.1103/PhysRevE.85.066306 |
op_doi |
https://doi.org/10.1103/PhysRevE.85.066306 |
container_title |
Physical Review E |
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85 |
container_issue |
6 |
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1766335911954481152 |