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dc.contributor.author
Ceretani, Andrea Noemí
dc.contributor.author
Tarzia, Domingo Alberto
dc.date.available
2018-07-26T17:55:08Z
dc.date.issued
2018-05
dc.identifier.citation
Ceretani, Andrea Noemí; Tarzia, Domingo Alberto; Similarity solution for a two-phase one-dimensional Stefan problem with a convective boundary condition and a mushy zone model; Sociedade Brasileira de Matemática Aplicada e Computacional; Matematica Aplicada E Computacional; 37; 2; 5-2018; 2201-2217
dc.identifier.issn
0101-8205
dc.identifier.uri
http://hdl.handle.net/11336/53174
dc.description.abstract
A two-phase solidification process for a one-dimensional semi-infinite material is considered. It is assumed that it is ensued from a constant bulk temperature present in the vicinity of the fixed boundary, which it is modelled through a convective condition (Robin condition). The interface between the two phases is idealized as a mushy region and it is represented following the model of Solomon, Wilson, and Alexiades. An exact similarity solution is obtained when a restriction on data is verified, and it is analysed the relation between the problem considered here and the problem with a temperature condition at the fixed boundary. Moreover, it is proved that the solution to the problem with the convective boundary condition converges to the solution to a problem with a temperature condition when the heat transfer coefficient at the fixed boundary goes to infinity, and it is given an estimation of the difference between these two solutions.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Sociedade Brasileira de Matemática Aplicada e Computacional
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
dc.subject
Convective Condition
dc.subject
Explicit Solutions
dc.subject
Phase-Change Process
dc.subject
Similarity Solutions
dc.subject
Stefan Problems
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Similarity solution for a two-phase one-dimensional Stefan problem with a convective boundary condition and a mushy zone model
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2018-07-26T13:58:04Z
dc.journal.volume
37
dc.journal.number
2
dc.journal.pagination
2201-2217
dc.journal.pais
Brasil
dc.journal.ciudad
San Carlos
dc.description.fil
Fil: Ceretani, Andrea Noemí. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario; Argentina. Universidad Nacional de Rosario. Facultad de Ciencias Exactas Ingeniería y Agrimensura. Escuela de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Universidad Austral. Facultad de Ciencias Empresariales. Departamento de Matemáticas; Argentina
dc.description.fil
Fil: Tarzia, Domingo Alberto. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Austral. Facultad de Ciencias Empresariales. Departamento de Matemáticas; Argentina
dc.journal.title
Matematica Aplicada E Computacional
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s40314-017-0442-0
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s40314-017-0442-0
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1609.04690
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