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
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/178129
Ver los metadatos del registro completo
id |
CONICETDig_cfb3fcd893ae15ece0e031c780a9b72e |
---|---|
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 Técnicas2025-09-29T10:32:09Zoai: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:34982025-09-29 10:32:09.802CONICET 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 |
_version_ |
1844614334360059904 |
score |
13.070432 |