Influence of a nonlinear degenerate diffusion on an advection-diffusion equation in a diffuse interface framework*
This work is motivated by the modelling a liquid-vapour flows with phase transition describing the evolution of the coolant within an heat exchanger (e.g. the core of a Pressurized Water Reactor). We investigate an advection-diffusion equation with a degenerate and nonlinear diffusion coefficient. T...
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| Format: | Article |
| Language: | English |
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EDP Sciences
2023-01-01
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| Series: | ESAIM: Proceedings and Surveys |
| Subjects: | |
| Online Access: | https://www.esaim-proc.org/articles/proc/pdf/2023/01/proc2307207.pdf |
| _version_ | 1797740259496165376 |
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| author | Faccanoni Gloria Galusinski Cédric |
| author_facet | Faccanoni Gloria Galusinski Cédric |
| author_sort | Faccanoni Gloria |
| collection | DOAJ |
| description | This work is motivated by the modelling a liquid-vapour flows with phase transition describing the evolution of the coolant within an heat exchanger (e.g. the core of a Pressurized Water Reactor). We investigate an advection-diffusion equation with a degenerate and nonlinear diffusion coefficient. The degeneracy corresponds to a liquid-vapor mixture in the original model whereas the diffusion coefficient is non-degenerate in the pure phase cases. We focus on the influence of the diffusion coefficient on a simple 1D configuration for which some analytical computations can be done, leading to a surprising behavior of the phase transition with respect to the diffusion. |
| first_indexed | 2024-03-12T14:09:53Z |
| format | Article |
| id | doaj.art-9f5c46ce68504a16a5b618f5c2ffe978 |
| institution | Directory Open Access Journal |
| issn | 2267-3059 |
| language | English |
| last_indexed | 2024-03-12T14:09:53Z |
| publishDate | 2023-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | ESAIM: Proceedings and Surveys |
| spelling | doaj.art-9f5c46ce68504a16a5b618f5c2ffe9782023-08-21T09:04:51ZengEDP SciencesESAIM: Proceedings and Surveys2267-30592023-01-017214316210.1051/proc/202372143proc2307207Influence of a nonlinear degenerate diffusion on an advection-diffusion equation in a diffuse interface framework*Faccanoni Gloria0Galusinski Cédric1Université de Toulon - IMATH, EA 2134Université de Toulon - IMATH, EA 2134This work is motivated by the modelling a liquid-vapour flows with phase transition describing the evolution of the coolant within an heat exchanger (e.g. the core of a Pressurized Water Reactor). We investigate an advection-diffusion equation with a degenerate and nonlinear diffusion coefficient. The degeneracy corresponds to a liquid-vapor mixture in the original model whereas the diffusion coefficient is non-degenerate in the pure phase cases. We focus on the influence of the diffusion coefficient on a simple 1D configuration for which some analytical computations can be done, leading to a surprising behavior of the phase transition with respect to the diffusion.https://www.esaim-proc.org/articles/proc/pdf/2023/01/proc2307207.pdfphase changestefan problemnonlinear degenerate diffusion |
| spellingShingle | Faccanoni Gloria Galusinski Cédric Influence of a nonlinear degenerate diffusion on an advection-diffusion equation in a diffuse interface framework* ESAIM: Proceedings and Surveys phase change stefan problem nonlinear degenerate diffusion |
| title | Influence of a nonlinear degenerate diffusion on an advection-diffusion equation in a diffuse interface framework* |
| title_full | Influence of a nonlinear degenerate diffusion on an advection-diffusion equation in a diffuse interface framework* |
| title_fullStr | Influence of a nonlinear degenerate diffusion on an advection-diffusion equation in a diffuse interface framework* |
| title_full_unstemmed | Influence of a nonlinear degenerate diffusion on an advection-diffusion equation in a diffuse interface framework* |
| title_short | Influence of a nonlinear degenerate diffusion on an advection-diffusion equation in a diffuse interface framework* |
| title_sort | influence of a nonlinear degenerate diffusion on an advection diffusion equation in a diffuse interface framework |
| topic | phase change stefan problem nonlinear degenerate diffusion |
| url | https://www.esaim-proc.org/articles/proc/pdf/2023/01/proc2307207.pdf |
| work_keys_str_mv | AT faccanonigloria influenceofanonlineardegeneratediffusiononanadvectiondiffusionequationinadiffuseinterfaceframework AT galusinskicedric influenceofanonlineardegeneratediffusiononanadvectiondiffusionequationinadiffuseinterfaceframework |