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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Autores principales: Bouillet, J.E., Shillor, M., Tarzia, D.A.
Formato: JOUR
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Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00036811_v32_n1_p31_Bouillet
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Sumario: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.