Convection in a mushy layer along a vertical heated wall
Motivated by the mushy zones of sea ice, volcanoes and icy moons of the outer solar system, we perform a theoretical and numerical study of boundary-layer convection along a vertical heated wall in a bounded ideal mushy region. The mush is comprised of a porous and reactive binary alloy with a mixtu...
| Main Authors: | , , , |
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| 格式: | Journal article |
| 语言: | English |
| 出版: |
Cambridge University Press
2021
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| _version_ | 1826268947023921152 |
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| author | Boury, S Meyer, CR Vasil, GM Wells, AJ |
| author_facet | Boury, S Meyer, CR Vasil, GM Wells, AJ |
| author_sort | Boury, S |
| collection | OXFORD |
| description | Motivated by the mushy zones of sea ice, volcanoes and icy moons of the outer solar system, we perform a theoretical and numerical study of boundary-layer convection along a vertical heated wall in a bounded ideal mushy region. The mush is comprised of a porous and reactive binary alloy with a mixture of saline liquid in a solid matrix, and is studied in the near-eutectic approximation. Here, we demonstrate the existence of four regions and study their behaviour asymptotically. Starting from the bottom of the wall, the four regions are (i) an isotropic corner region; (ii) a buoyancy dominated vertical boundary layer; (iii) an isotropic connection region; and (iv) a horizontal boundary layer at the top boundary with strong gradients of pressure and buoyancy. Scalings from numerical simulations are consistent with the theoretical predictions. Close to the heated wall, the convection in the mushy layer is similar to a rising buoyant plume abruptly stopped at the top, leading to increased pressure and temperature in the upper region, whose impact is discussed as an efficient melting mechanism. |
| first_indexed | 2024-03-06T21:17:20Z |
| format | Journal article |
| id | oxford-uuid:4038a79e-d71d-41da-828e-8c51fc1f9b0b |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T21:17:20Z |
| publishDate | 2021 |
| publisher | Cambridge University Press |
| record_format | dspace |
| spelling | oxford-uuid:4038a79e-d71d-41da-828e-8c51fc1f9b0b2022-03-26T14:36:44ZConvection in a mushy layer along a vertical heated wallJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:4038a79e-d71d-41da-828e-8c51fc1f9b0bEnglishSymplectic ElementsCambridge University Press2021Boury, SMeyer, CRVasil, GMWells, AJMotivated by the mushy zones of sea ice, volcanoes and icy moons of the outer solar system, we perform a theoretical and numerical study of boundary-layer convection along a vertical heated wall in a bounded ideal mushy region. The mush is comprised of a porous and reactive binary alloy with a mixture of saline liquid in a solid matrix, and is studied in the near-eutectic approximation. Here, we demonstrate the existence of four regions and study their behaviour asymptotically. Starting from the bottom of the wall, the four regions are (i) an isotropic corner region; (ii) a buoyancy dominated vertical boundary layer; (iii) an isotropic connection region; and (iv) a horizontal boundary layer at the top boundary with strong gradients of pressure and buoyancy. Scalings from numerical simulations are consistent with the theoretical predictions. Close to the heated wall, the convection in the mushy layer is similar to a rising buoyant plume abruptly stopped at the top, leading to increased pressure and temperature in the upper region, whose impact is discussed as an efficient melting mechanism. |
| spellingShingle | Boury, S Meyer, CR Vasil, GM Wells, AJ Convection in a mushy layer along a vertical heated wall |
| title | Convection in a mushy layer along a vertical heated wall |
| title_full | Convection in a mushy layer along a vertical heated wall |
| title_fullStr | Convection in a mushy layer along a vertical heated wall |
| title_full_unstemmed | Convection in a mushy layer along a vertical heated wall |
| title_short | Convection in a mushy layer along a vertical heated wall |
| title_sort | convection in a mushy layer along a vertical heated wall |
| work_keys_str_mv | AT bourys convectioninamushylayeralongaverticalheatedwall AT meyercr convectioninamushylayeralongaverticalheatedwall AT vasilgm convectioninamushylayeralongaverticalheatedwall AT wellsaj convectioninamushylayeralongaverticalheatedwall |