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 &...
Guardado en:
| Autores principales: | , , |
|---|---|
| Formato: | JOUR |
| Materias: | |
| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_00036811_v32_n1_p31_Bouillet |
| Aporte de: |
| id |
todo:paper_00036811_v32_n1_p31_Bouillet |
|---|---|
| record_format |
dspace |
| spelling |
todo:paper_00036811_v32_n1_p31_Bouillet2023-10-03T13:56:31Z Critical outflow for a steady-state stefan problem Bouillet, J.E. Shillor, M. Tarzia, D.A. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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 Bouillet, J.E. Shillor, M. Tarzia, D.A. 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. |
| format |
JOUR |
| author |
Bouillet, J.E. Shillor, M. Tarzia, D.A. |
| author_facet |
Bouillet, J.E. Shillor, M. Tarzia, D.A. |
| author_sort |
Bouillet, J.E. |
| 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 |
| url |
http://hdl.handle.net/20.500.12110/paper_00036811_v32_n1_p31_Bouillet |
| work_keys_str_mv |
AT bouilletje criticaloutflowforasteadystatestefanproblem AT shillorm criticaloutflowforasteadystatestefanproblem AT tarziada criticaloutflowforasteadystatestefanproblem |
| _version_ |
1807319076299603968 |