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dc.contributor.author
Roscani, Sabrina Dina
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dc.contributor.author
Voller, Vaughan R.
dc.date.available
2024-03-22T14:42:41Z
dc.date.issued
2024-03
dc.identifier.citation
Roscani, Sabrina Dina; Voller, Vaughan R.; On an enthalpy formulation for a sharp-interface memory-flux Stefan problem; Pergamon-Elsevier Science Ltd; Chaos, Solitons And Fractals; 181; 3-2024; 1-10
dc.identifier.issn
0960-0779
dc.identifier.uri
http://hdl.handle.net/11336/231327
dc.description.abstract
Stefan melting problems involve the tracking of a sharp melt front during the heat conduction controlled melting of a solid. A feature of this problem is a jump discontinuity in the heat flux across the melt interface.Time fractional versions of this problem introduce fractional time derivatives into the governing equations. Starting from an appropriate thermodynamic balance statement, this paper develops a new sharp interface time fractional Stefan melting problem, the memory-enthalpy formulation. A mathematical analysis reveals that this formulation exhibits a natural regularization in that, unlike the classic Stefan problem, the flux is continuous across the melt interface. It is also shown how the memory-enthalpy formulation, along with previously reported time fractional Stefan problems based on a memory-flux, can be derived by starting from a generic continuity equation and melt front condition. The paper closes by mathematically proving that the memory-enthalpy fractional Stefan formulation is equivalent to the previous memory-flux formulations. A resultthat provides a thermodynamic consistent basis for a widely used and investigated class of time fractional (memory) Stefan problems.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Pergamon-Elsevier Science Ltd
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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
FRACTIONAL DIFFUSION
dc.subject
CAPUTO DERIVATIVE
dc.subject
RIEMANN-LIOUVILLE DERIVATIVE
dc.subject.classification
Matemática Aplicada
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dc.subject.classification
Matemáticas
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dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
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dc.title
On an enthalpy formulation for a sharp-interface memory-flux Stefan problem
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2024-03-22T11:38:45Z
dc.journal.volume
181
dc.journal.pagination
1-10
dc.journal.pais
Estados Unidos
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dc.description.fil
Fil: Roscani, Sabrina Dina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Austral. Facultad de Ciencias Empresariales. Departamento de Matemáticas; Argentina
dc.description.fil
Fil: Voller, Vaughan R.. University of Minnesota; Estados Unidos
dc.journal.title
Chaos, Solitons And Fractals
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dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.chaos.2024.114679
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