Critical outflow for a steady-state stefan problem
The problem of the steady temperature distribution in a container of fluid that is kept at a given positive temperature over a part of its boundary and is cooled with a given rate q on the rest of the boundary is considered. It is shown that there exists a critical qc >0 such that for q &...
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1989
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| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00036811_v32_n1_p31_Bouillet http://hdl.handle.net/20.500.12110/paper_00036811_v32_n1_p31_Bouillet |
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paper:paper_00036811_v32_n1_p31_Bouillet2023-06-08T14:24:36Z Critical outflow for a steady-state stefan problem heat flux phase change Stefan problem variational formulation The problem of the steady temperature distribution in a container of fluid that is kept at a given positive temperature over a part of its boundary and is cooled with a given rate q on the rest of the boundary is considered. It is shown that there exists a critical qc >0 such that for q > qc the temperature is negative in a part of the fluid and this is interpreted as the existence of a solid phase together with the liquid fase. For q < qc the temperature is positive and there is only liquid in the container. Various estimates for qc are given in terms of the geometry. © 1989, Taylor & Francis Group, LLC. All rights reserved. 1989 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00036811_v32_n1_p31_Bouillet http://hdl.handle.net/20.500.12110/paper_00036811_v32_n1_p31_Bouillet |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
heat flux phase change Stefan problem variational formulation |
| spellingShingle |
heat flux phase change Stefan problem variational formulation Critical outflow for a steady-state stefan problem |
| topic_facet |
heat flux phase change Stefan problem variational formulation |
| description |
The problem of the steady temperature distribution in a container of fluid that is kept at a given positive temperature over a part of its boundary and is cooled with a given rate q on the rest of the boundary is considered. It is shown that there exists a critical qc >0 such that for q > qc the temperature is negative in a part of the fluid and this is interpreted as the existence of a solid phase together with the liquid fase. For q < qc the temperature is positive and there is only liquid in the container. Various estimates for qc are given in terms of the geometry. © 1989, Taylor & Francis Group, LLC. All rights reserved. |
| title |
Critical outflow for a steady-state stefan problem |
| title_short |
Critical outflow for a steady-state stefan problem |
| title_full |
Critical outflow for a steady-state stefan problem |
| title_fullStr |
Critical outflow for a steady-state stefan problem |
| title_full_unstemmed |
Critical outflow for a steady-state stefan problem |
| title_sort |
critical outflow for a steady-state stefan problem |
| publishDate |
1989 |
| url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00036811_v32_n1_p31_Bouillet http://hdl.handle.net/20.500.12110/paper_00036811_v32_n1_p31_Bouillet |
| _version_ |
1768541681576050688 |