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dc.contributor.author
Bollati, Julieta
dc.contributor.author
Natale, María Fernanda
dc.contributor.author
Semitiel, José Abel
dc.contributor.author
Tarzia, Domingo Alberto
dc.date.available
2024-07-16T10:51:25Z
dc.date.issued
2024-07
dc.identifier.citation
Bollati, Julieta; Natale, María Fernanda; Semitiel, José Abel; Tarzia, Domingo Alberto; A two-phase Stefan problem with power-type temperature-dependent thermal conductivity. Existence of a solution by two fixed points and numerical results; American Institute of Mathematical Sciences; AIMS Mathematics; 9; 8; 7-2024; 21189-21211
dc.identifier.issn
2473-6988
dc.identifier.uri
http://hdl.handle.net/11336/239992
dc.description.abstract
A one-dimensional two-phase Stefan problem for the melting of a semi-infinite material with a power-type temperature-dependent thermal conductivity is considered. The assumption of tak- ing thermal parameters as functions of temperature find it bases in physical and industries applications, allowing for a more precise and realistic description of phase change processes. By, imposing a Dirich- let condition at the fixed face, a theoretical and approximate study is developed. Through a similarity transformation an equivalent ordinary differential problem is obtained from which an integral problem is deduced. The existence of at least one analytical solution is guaranteed by using the Banach fixed point theorem. Due the unavailability of an analytical solution, a heat balance integral method is ap- plied, assuming a quadratic temperature profile in space, to simulate temperature variations and the location of the interface during the melting process. For constant thermal conductivity, results can be compared with the exact solution available in the literature to check the accuracy of the approximate method.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
American Institute of Mathematical Sciences
dc.rights
info:eu-repo/semantics/restrictedAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Stefan problem
dc.subject
Temperature-dependent thermal conductivity
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Similarity solution
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Banach fixed point theorem
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Heat Balance integral method
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Matemática Aplicada
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Matemáticas
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CIENCIAS NATURALES Y EXACTAS
dc.title
A two-phase Stefan problem with power-type temperature-dependent thermal conductivity. Existence of a solution by two fixed points and numerical results
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2024-07-15T11:17:34Z
dc.journal.volume
9
dc.journal.number
8
dc.journal.pagination
21189-21211
dc.journal.pais
Estados Unidos
dc.description.fil
Fil: Bollati, Julieta. Universidad Austral. Facultad de Ciencias Empresariales. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
dc.description.fil
Fil: Natale, María Fernanda. Universidad Austral. Facultad de Ciencias Empresariales. Departamento de Matemáticas; Argentina
dc.description.fil
Fil: Semitiel, José Abel. Universidad Austral. Facultad de Ciencias Empresariales. Departamento de Matemáticas; Argentina
dc.description.fil
Fil: Tarzia, Domingo Alberto. Universidad Austral. Facultad de Ciencias Empresariales. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
dc.journal.title
AIMS Mathematics
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://www.aimspress.com/article/doi/10.3934/math.20241029
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.3934/math.20241029
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