Estimation of a thermal conductivity in a stationary heat transfer problem with a solid-solid interface

Autores
Umbricht, Guillermo Federico; Rubio, Aurora Diana; Tarzia, Domingo Alberto
Año de publicación
2021
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
An inverse problem for a stationary heat transfer process is studied for a totally isolated bar on its lateral surface, made up of two consecutive sections of different, isotropic and homogeneous materials, perfectly assembly, where one of the materials, that is unreachable and unknown, has to be identified. The length of the bar is assumed to be much greater that the diameter so that a 1D heat transfer process is considered. A constant temperature is assumed at the end of the unknown part of the rod while the other end is let free for convection. We propose a procedure to identify the unknown material of the bar based on a noisy flow measurement at the opposite end. Necessary and sufficient conditions are derived together with a bound for the estimation error. Moreover, elasticity analysis is performed to study the influence of the data in the conductivity estimation and numerical examples are included to illustrate the proposed ideas and show the estimation performance.
Fil: Umbricht, Guillermo Federico. Universidad Nacional de San Martin. Escuela de Ciencia y Tecnología. Centro de Matemática Aplicada; Argentina. Universidad Nacional de General Sarmiento. Instituto del Desarrollo Humano; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Rubio, Aurora Diana. Universidad Nacional de San Martin. Escuela de Ciencia y Tecnología. Centro de Matemática Aplicada; Argentina
Fil: Tarzia, Domingo Alberto. Universidad Austral. Facultad de Ciencias Empresariales. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario; Argentina
Materia
ELASTICITY ANALYSIS
INVERSE PROBLEM
MATHEMATICAL MODELING
NUMERICAL SIMULATION
PARAMETER ESTIMATION
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/167399
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/167399
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Estimation of a thermal conductivity in a stationary heat transfer problem with a solid-solid interfaceUmbricht, Guillermo FedericoRubio, Aurora DianaTarzia, Domingo AlbertoELASTICITY ANALYSISINVERSE PROBLEMMATHEMATICAL MODELINGNUMERICAL SIMULATIONPARAMETER ESTIMATIONhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1An inverse problem for a stationary heat transfer process is studied for a totally isolated bar on its lateral surface, made up of two consecutive sections of different, isotropic and homogeneous materials, perfectly assembly, where one of the materials, that is unreachable and unknown, has to be identified. The length of the bar is assumed to be much greater that the diameter so that a 1D heat transfer process is considered. A constant temperature is assumed at the end of the unknown part of the rod while the other end is let free for convection. We propose a procedure to identify the unknown material of the bar based on a noisy flow measurement at the opposite end. Necessary and sufficient conditions are derived together with a bound for the estimation error. Moreover, elasticity analysis is performed to study the influence of the data in the conductivity estimation and numerical examples are included to illustrate the proposed ideas and show the estimation performance.Fil: Umbricht, Guillermo Federico. Universidad Nacional de San Martin. Escuela de Ciencia y Tecnología. Centro de Matemática Aplicada; Argentina. Universidad Nacional de General Sarmiento. Instituto del Desarrollo Humano; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Rubio, Aurora Diana. Universidad Nacional de San Martin. Escuela de Ciencia y Tecnología. Centro de Matemática Aplicada; ArgentinaFil: Tarzia, Domingo Alberto. Universidad Austral. Facultad de Ciencias Empresariales. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario; ArgentinaInternational Information and Engineering Technology Association2021-04info: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/11336/167399Umbricht, Guillermo Federico; Rubio, Aurora Diana; Tarzia, Domingo Alberto; Estimation of a thermal conductivity in a stationary heat transfer problem with a solid-solid interface; International Information and Engineering Technology Association; International Journal of Heat and Technology; 39; 2; 4-2021; 337-3440392-8764CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://www.iieta.org/journals/ijht/paper/10.18280/ijht.390202info:eu-repo/semantics/altIdentifier/doi/10.18280/ijht.390202info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:41:13Zoai:ri.conicet.gov.ar:11336/167399instacron: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 09:41:13.353CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Estimation of a thermal conductivity in a stationary heat transfer problem with a solid-solid interface
title Estimation of a thermal conductivity in a stationary heat transfer problem with a solid-solid interface
spellingShingle Estimation of a thermal conductivity in a stationary heat transfer problem with a solid-solid interface
Umbricht, Guillermo Federico
ELASTICITY ANALYSIS
INVERSE PROBLEM
MATHEMATICAL MODELING
NUMERICAL SIMULATION
PARAMETER ESTIMATION
title_short Estimation of a thermal conductivity in a stationary heat transfer problem with a solid-solid interface
title_full Estimation of a thermal conductivity in a stationary heat transfer problem with a solid-solid interface
title_fullStr Estimation of a thermal conductivity in a stationary heat transfer problem with a solid-solid interface
title_full_unstemmed Estimation of a thermal conductivity in a stationary heat transfer problem with a solid-solid interface
title_sort Estimation of a thermal conductivity in a stationary heat transfer problem with a solid-solid interface
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 ELASTICITY ANALYSIS
INVERSE PROBLEM
MATHEMATICAL MODELING
NUMERICAL SIMULATION
PARAMETER ESTIMATION
topic ELASTICITY ANALYSIS
INVERSE PROBLEM
MATHEMATICAL MODELING
NUMERICAL SIMULATION
PARAMETER ESTIMATION
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv An inverse problem for a stationary heat transfer process is studied for a totally isolated bar on its lateral surface, made up of two consecutive sections of different, isotropic and homogeneous materials, perfectly assembly, where one of the materials, that is unreachable and unknown, has to be identified. The length of the bar is assumed to be much greater that the diameter so that a 1D heat transfer process is considered. A constant temperature is assumed at the end of the unknown part of the rod while the other end is let free for convection. We propose a procedure to identify the unknown material of the bar based on a noisy flow measurement at the opposite end. Necessary and sufficient conditions are derived together with a bound for the estimation error. Moreover, elasticity analysis is performed to study the influence of the data in the conductivity estimation and numerical examples are included to illustrate the proposed ideas and show the estimation performance.
Fil: Umbricht, Guillermo Federico. Universidad Nacional de San Martin. Escuela de Ciencia y Tecnología. Centro de Matemática Aplicada; Argentina. Universidad Nacional de General Sarmiento. Instituto del Desarrollo Humano; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Rubio, Aurora Diana. Universidad Nacional de San Martin. Escuela de Ciencia y Tecnología. Centro de Matemática Aplicada; Argentina
Fil: Tarzia, Domingo Alberto. Universidad Austral. Facultad de Ciencias Empresariales. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario; Argentina
description An inverse problem for a stationary heat transfer process is studied for a totally isolated bar on its lateral surface, made up of two consecutive sections of different, isotropic and homogeneous materials, perfectly assembly, where one of the materials, that is unreachable and unknown, has to be identified. The length of the bar is assumed to be much greater that the diameter so that a 1D heat transfer process is considered. A constant temperature is assumed at the end of the unknown part of the rod while the other end is let free for convection. We propose a procedure to identify the unknown material of the bar based on a noisy flow measurement at the opposite end. Necessary and sufficient conditions are derived together with a bound for the estimation error. Moreover, elasticity analysis is performed to study the influence of the data in the conductivity estimation and numerical examples are included to illustrate the proposed ideas and show the estimation performance.
publishDate 2021
dc.date.none.fl_str_mv 2021-04
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/11336/167399
Umbricht, Guillermo Federico; Rubio, Aurora Diana; Tarzia, Domingo Alberto; Estimation of a thermal conductivity in a stationary heat transfer problem with a solid-solid interface; International Information and Engineering Technology Association; International Journal of Heat and Technology; 39; 2; 4-2021; 337-344
0392-8764
CONICET Digital
CONICET
url http://hdl.handle.net/11336/167399
identifier_str_mv Umbricht, Guillermo Federico; Rubio, Aurora Diana; Tarzia, Domingo Alberto; Estimation of a thermal conductivity in a stationary heat transfer problem with a solid-solid interface; International Information and Engineering Technology Association; International Journal of Heat and Technology; 39; 2; 4-2021; 337-344
0392-8764
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://www.iieta.org/journals/ijht/paper/10.18280/ijht.390202
info:eu-repo/semantics/altIdentifier/doi/10.18280/ijht.390202
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv International Information and Engineering Technology Association
publisher.none.fl_str_mv International Information and Engineering Technology Association
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
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score 13.070432

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