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dc.contributor.author
Rubio, Aurora Diana
dc.contributor.author
Tarzia, Domingo Alberto
dc.contributor.author
Umbricht, Guillermo Federico
dc.date.available
2022-09-05T18:55:45Z
dc.date.issued
2021-09-02
dc.identifier.citation
Rubio, Aurora Diana; Tarzia, Domingo Alberto; Umbricht, Guillermo Federico; Heat transfer process with solid-solid interface: Analytical and numerical solutions; World Scientific and Engineering Academy and Society; Wseas Transactions on Mathematics; 20; 2-9-2021; 404-414
dc.identifier.issn
1109-2769
dc.identifier.uri
http://hdl.handle.net/11336/167413
dc.description.abstract
This work is aimed at the study and analysis of the heat transport on a metal bar of length L with a solid-solid interface. The process is assumed to be developed along one direction, across two homogeneous and isotropic materials. Analytical and numerical solutions are obtained under continuity conditions at the interface, that is a perfect assembly. The lateral side is assumed to be isolated and a constant thermal source is located at the left-boundary while the right-end stays free allowing the heat to transfer to the surrounding fluid by a convective process. The differences between the analytic solution and temperature measurements at any point on the right would indicate the presence of discontinuities. The greater these differences, the greater the discontinuity in the interface due to thermal resistances, providing a measure of its propagation from the interface and they could be modeled as temperature perturbations. The problem of interest may be described by a parabolic equation with initial, interface and boundary conditions, where the thermal properties, the conductivity and diffusivity coefficients, are piecewise constant functions. The analytic solution is derived by using Fourier methods. Special attention is given to the Sturm-Liouville problem that arises when deriving the solution, since a complicated eigenvalue equation must to be solved. Numerical simulations are conducted by using finite difference schemes where its convergence and stability properties are discussed along with physical interpretations of the results.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
World Scientific and Engineering Academy and Society
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by/2.5/ar/
dc.subject
EIGENVALUES PROBLEMS
dc.subject
HEAT EQUATION
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MATHEMATICAL MODELING
dc.subject
SOLID-SOLID INTERFACE
dc.subject.classification
Matemática Aplicada
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Heat transfer process with solid-solid interface: Analytical and numerical solutions
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2022-08-29T17:32:15Z
dc.identifier.eissn
2224-2880
dc.journal.volume
20
dc.journal.pagination
404-414
dc.journal.pais
Bulgaria
dc.description.fil
Fil: Rubio, Aurora Diana. Universidad Nacional de San Martin. Escuela de Ciencia y Tecnología. Centro de Matemática Aplicada; 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.description.fil
Fil: Umbricht, Guillermo Federico. Universidad Nacional de General Sarmiento. Instituto del Desarrollo Humano; Argentina. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
dc.journal.title
Wseas Transactions on Mathematics
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://wseas.com/journals/articles.php?id=533
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.37394/23206.2021.20.42
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/2110.14542
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