Estimation Technique for a Contact Point Between two Materials in a Stationary Heat Transfer Problem

Autores
Umbricht, Guillermo Federico; Rubio, Aurora Diana; Tarzia, Domingo Alberto
Año de publicación
2020
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, of negligible diameter, made up of two consecutive sections of different, isotropic and homogeneous materials. At the left boundary, a Dirichlet type condition is imposed that represents a constant temperature source while a Robin type condition that models the heat dissipation by convection is considered at the right one. Many articles in the literature focus on thermal and stress analysis at the interface but no one is dedicated to the estimation of the contact point location between the two materials. In this work, it is assumed that the interface position is unknown. A technique to determine it from a unique noisy flow measurement at the right boundary is introduced. Necessary and sufficient conditions are derived in order to obtain the estimation of the interface point from a heat flux measured at the right boundary. Numerical solutions are obtained together with an expression for the estimation error. Moreover, an elasticity analysis is included to study the influence of data errors. The results show that our approach is useful for determining the location of the materials interface.
Fil: Umbricht, Guillermo Federico. Universidad Nacional de San Martín; Argentina. Universidad Nacional de General Sarmiento; 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. Centro Científico Tecnológico Conicet - Rosario; Argentina
Materia
ELASTICITY ANALYSIS
HEAT TRANSFER
INTERFACE PROBLEM
MATHEMATICAL MODELING
NUMERICAL SIMULATION
PARAMETER ESTIMATION
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:11336/178129
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/178129
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Estimation Technique for a Contact Point Between two Materials in a Stationary Heat Transfer ProblemUmbricht, Guillermo FedericoRubio, Aurora DianaTarzia, Domingo AlbertoELASTICITY ANALYSISHEAT TRANSFERINTERFACE 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, of negligible diameter, made up of two consecutive sections of different, isotropic and homogeneous materials. At the left boundary, a Dirichlet type condition is imposed that represents a constant temperature source while a Robin type condition that models the heat dissipation by convection is considered at the right one. Many articles in the literature focus on thermal and stress analysis at the interface but no one is dedicated to the estimation of the contact point location between the two materials. In this work, it is assumed that the interface position is unknown. A technique to determine it from a unique noisy flow measurement at the right boundary is introduced. Necessary and sufficient conditions are derived in order to obtain the estimation of the interface point from a heat flux measured at the right boundary. Numerical solutions are obtained together with an expression for the estimation error. Moreover, an elasticity analysis is included to study the influence of data errors. The results show that our approach is useful for determining the location of the materials interface.Fil: Umbricht, Guillermo Federico. Universidad Nacional de San Martín; Argentina. Universidad Nacional de General Sarmiento; 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. Centro Científico Tecnológico Conicet - Rosario; ArgentinaInternational Information and Engineering Technology Association2020-12info: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/11336/178129Umbricht, Guillermo Federico; Rubio, Aurora Diana; Tarzia, Domingo Alberto; Estimation Technique for a Contact Point Between two Materials in a Stationary Heat Transfer Problem; International Information and Engineering Technology Association; Mathematical Modelling of Engineering Problems; 7; 4; 12-2020; 607-6132369-07392369-0747CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://www.iieta.org/search/node/ESTIMATION%20TECHNIQUE%20FOR%20A%20CONTACT%20POINT%20BETWEEN%20TWO%20MATERIALS%20IN%20A%20STATIONARY%20HEAT%20TRANSFER%20PROBLEMinfo:eu-repo/semantics/altIdentifier/doi/10.18280/MMEP.070413info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T12:04:35Zoai:ri.conicet.gov.ar:11336/178129instacron: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:34982025-10-22 12:04:35.279CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Estimation Technique for a Contact Point Between two Materials in a Stationary Heat Transfer Problem
title Estimation Technique for a Contact Point Between two Materials in a Stationary Heat Transfer Problem
spellingShingle Estimation Technique for a Contact Point Between two Materials in a Stationary Heat Transfer Problem
Umbricht, Guillermo Federico
ELASTICITY ANALYSIS
HEAT TRANSFER
INTERFACE PROBLEM
MATHEMATICAL MODELING
NUMERICAL SIMULATION
PARAMETER ESTIMATION
title_short Estimation Technique for a Contact Point Between two Materials in a Stationary Heat Transfer Problem
title_full Estimation Technique for a Contact Point Between two Materials in a Stationary Heat Transfer Problem
title_fullStr Estimation Technique for a Contact Point Between two Materials in a Stationary Heat Transfer Problem
title_full_unstemmed Estimation Technique for a Contact Point Between two Materials in a Stationary Heat Transfer Problem
title_sort Estimation Technique for a Contact Point Between two Materials in a Stationary Heat Transfer Problem
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
HEAT TRANSFER
INTERFACE PROBLEM
MATHEMATICAL MODELING
NUMERICAL SIMULATION
PARAMETER ESTIMATION
topic ELASTICITY ANALYSIS
HEAT TRANSFER
INTERFACE 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, of negligible diameter, made up of two consecutive sections of different, isotropic and homogeneous materials. At the left boundary, a Dirichlet type condition is imposed that represents a constant temperature source while a Robin type condition that models the heat dissipation by convection is considered at the right one. Many articles in the literature focus on thermal and stress analysis at the interface but no one is dedicated to the estimation of the contact point location between the two materials. In this work, it is assumed that the interface position is unknown. A technique to determine it from a unique noisy flow measurement at the right boundary is introduced. Necessary and sufficient conditions are derived in order to obtain the estimation of the interface point from a heat flux measured at the right boundary. Numerical solutions are obtained together with an expression for the estimation error. Moreover, an elasticity analysis is included to study the influence of data errors. The results show that our approach is useful for determining the location of the materials interface.
Fil: Umbricht, Guillermo Federico. Universidad Nacional de San Martín; Argentina. Universidad Nacional de General Sarmiento; 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. 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, of negligible diameter, made up of two consecutive sections of different, isotropic and homogeneous materials. At the left boundary, a Dirichlet type condition is imposed that represents a constant temperature source while a Robin type condition that models the heat dissipation by convection is considered at the right one. Many articles in the literature focus on thermal and stress analysis at the interface but no one is dedicated to the estimation of the contact point location between the two materials. In this work, it is assumed that the interface position is unknown. A technique to determine it from a unique noisy flow measurement at the right boundary is introduced. Necessary and sufficient conditions are derived in order to obtain the estimation of the interface point from a heat flux measured at the right boundary. Numerical solutions are obtained together with an expression for the estimation error. Moreover, an elasticity analysis is included to study the influence of data errors. The results show that our approach is useful for determining the location of the materials interface.
publishDate 2020
dc.date.none.fl_str_mv 2020-12
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/11336/178129
Umbricht, Guillermo Federico; Rubio, Aurora Diana; Tarzia, Domingo Alberto; Estimation Technique for a Contact Point Between two Materials in a Stationary Heat Transfer Problem; International Information and Engineering Technology Association; Mathematical Modelling of Engineering Problems; 7; 4; 12-2020; 607-613
2369-0739
2369-0747
CONICET Digital
CONICET
url http://hdl.handle.net/11336/178129
identifier_str_mv Umbricht, Guillermo Federico; Rubio, Aurora Diana; Tarzia, Domingo Alberto; Estimation Technique for a Contact Point Between two Materials in a Stationary Heat Transfer Problem; International Information and Engineering Technology Association; Mathematical Modelling of Engineering Problems; 7; 4; 12-2020; 607-613
2369-0739
2369-0747
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/search/node/ESTIMATION%20TECHNIQUE%20FOR%20A%20CONTACT%20POINT%20BETWEEN%20TWO%20MATERIALS%20IN%20A%20STATIONARY%20HEAT%20TRANSFER%20PROBLEM
info:eu-repo/semantics/altIdentifier/doi/10.18280/MMEP.070413
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 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 12.982451

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