Determination of Thermal Conductivities in Multilayer Materials

Autores
Umbricht, Guillermo Federico; Rubio, Aurora Diana; Tarzia, Domingo Alberto
Año de publicación
2022
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
The objective of this work is the determination of the materials that make up a three-layer body, based on the simultaneous estimation of the thermal conductivity of the material of each layer. The body is exposed to a one-dimensional stationary, non-invasive, heat transfer process. It is assumed that the union of each pair of consecutive materials does not present thermal resistance. The parameters to be determined are estimated using three temperature measurements, one at each interface and another at the right edge of the body. The estimation is calculated analytically and a bound is given for the estimation error. In addition, an elasticity analysis is carried out to analyze the local dependence of each estimated parameter with respect to the data. A numerical example is included to illustrate and discuss the method proposed here.
Fil: Umbricht, Guillermo Federico. Universidad Austral; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Rubio, Aurora Diana. Universidad Nacional de San Martín; Argentina
Fil: Tarzia, Domingo Alberto. Universidad Austral; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Materia
HEAT EQUATION
INVERSE PROBLEMS
SOLID-SOLID INTERFACE
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/217660
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/217660
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Determination of Thermal Conductivities in Multilayer MaterialsUmbricht, Guillermo FedericoRubio, Aurora DianaTarzia, Domingo AlbertoHEAT EQUATIONINVERSE PROBLEMSSOLID-SOLID INTERFACEhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1The objective of this work is the determination of the materials that make up a three-layer body, based on the simultaneous estimation of the thermal conductivity of the material of each layer. The body is exposed to a one-dimensional stationary, non-invasive, heat transfer process. It is assumed that the union of each pair of consecutive materials does not present thermal resistance. The parameters to be determined are estimated using three temperature measurements, one at each interface and another at the right edge of the body. The estimation is calculated analytically and a bound is given for the estimation error. In addition, an elasticity analysis is carried out to analyze the local dependence of each estimated parameter with respect to the data. A numerical example is included to illustrate and discuss the method proposed here.Fil: Umbricht, Guillermo Federico. Universidad Austral; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Rubio, Aurora Diana. Universidad Nacional de San Martín; ArgentinaFil: Tarzia, Domingo Alberto. Universidad Austral; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaWorld Scientific and Engineering Academy and Society2022-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/217660Umbricht, Guillermo Federico; Rubio, Aurora Diana; Tarzia, Domingo Alberto; Determination of Thermal Conductivities in Multilayer Materials; World Scientific and Engineering Academy and Society; WSEAS Transactions on Heat and Mass Transfer; 17; 12-2022; 188-1951790-50442224-3461CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.37394/232012.2022.17.20info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:59:19Zoai:ri.conicet.gov.ar:11336/217660instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 09:59:20.063CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Determination of Thermal Conductivities in Multilayer Materials
title Determination of Thermal Conductivities in Multilayer Materials
spellingShingle Determination of Thermal Conductivities in Multilayer Materials
Umbricht, Guillermo Federico
HEAT EQUATION
INVERSE PROBLEMS
SOLID-SOLID INTERFACE
title_short Determination of Thermal Conductivities in Multilayer Materials
title_full Determination of Thermal Conductivities in Multilayer Materials
title_fullStr Determination of Thermal Conductivities in Multilayer Materials
title_full_unstemmed Determination of Thermal Conductivities in Multilayer Materials
title_sort Determination of Thermal Conductivities in Multilayer Materials
dc.creator.none.fl_str_mv Umbricht, Guillermo Federico
Rubio, Aurora Diana
Tarzia, Domingo Alberto
author Umbricht, Guillermo Federico
author_facet Umbricht, Guillermo Federico
Rubio, Aurora Diana
Tarzia, Domingo Alberto
author_role author
author2 Rubio, Aurora Diana
Tarzia, Domingo Alberto
author2_role author
author
dc.subject.none.fl_str_mv HEAT EQUATION
INVERSE PROBLEMS
SOLID-SOLID INTERFACE
topic HEAT EQUATION
INVERSE PROBLEMS
SOLID-SOLID INTERFACE
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv The objective of this work is the determination of the materials that make up a three-layer body, based on the simultaneous estimation of the thermal conductivity of the material of each layer. The body is exposed to a one-dimensional stationary, non-invasive, heat transfer process. It is assumed that the union of each pair of consecutive materials does not present thermal resistance. The parameters to be determined are estimated using three temperature measurements, one at each interface and another at the right edge of the body. The estimation is calculated analytically and a bound is given for the estimation error. In addition, an elasticity analysis is carried out to analyze the local dependence of each estimated parameter with respect to the data. A numerical example is included to illustrate and discuss the method proposed here.
Fil: Umbricht, Guillermo Federico. Universidad Austral; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Rubio, Aurora Diana. Universidad Nacional de San Martín; Argentina
Fil: Tarzia, Domingo Alberto. Universidad Austral; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
description The objective of this work is the determination of the materials that make up a three-layer body, based on the simultaneous estimation of the thermal conductivity of the material of each layer. The body is exposed to a one-dimensional stationary, non-invasive, heat transfer process. It is assumed that the union of each pair of consecutive materials does not present thermal resistance. The parameters to be determined are estimated using three temperature measurements, one at each interface and another at the right edge of the body. The estimation is calculated analytically and a bound is given for the estimation error. In addition, an elasticity analysis is carried out to analyze the local dependence of each estimated parameter with respect to the data. A numerical example is included to illustrate and discuss the method proposed here.
publishDate 2022
dc.date.none.fl_str_mv 2022-12
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/217660
Umbricht, Guillermo Federico; Rubio, Aurora Diana; Tarzia, Domingo Alberto; Determination of Thermal Conductivities in Multilayer Materials; World Scientific and Engineering Academy and Society; WSEAS Transactions on Heat and Mass Transfer; 17; 12-2022; 188-195
1790-5044
2224-3461
CONICET Digital
CONICET
url http://hdl.handle.net/11336/217660
identifier_str_mv Umbricht, Guillermo Federico; Rubio, Aurora Diana; Tarzia, Domingo Alberto; Determination of Thermal Conductivities in Multilayer Materials; World Scientific and Engineering Academy and Society; WSEAS Transactions on Heat and Mass Transfer; 17; 12-2022; 188-195
1790-5044
2224-3461
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.37394/232012.2022.17.20
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv World Scientific and Engineering Academy and Society
publisher.none.fl_str_mv World Scientific and Engineering Academy and Society
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
_version_ 1844613761029111808
score 13.070432

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