Determination of Two Homogeneous Materials in a Bar with Solid-Solid Interface

Autores
Umbricht, Guillermo Federico; Tarzia, Domingo Alberto; Rubio, Aurora Diana
Año de publicación
2022
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this work, a bar fully insulated on its lateral surface. composed by two different unknown materials is considered. For the analytical solution, it is assumed a perfectly assembly solid-solid interface, so no heat loss due to friction is present. This is an ideal scenario, so this loss and possible measurement errors are included by simulating noisy data for the estimation of the thermal conductivity of the unknown materials. A stationary heat transfer process along the bar is considered where a Dirichlet condition is imposed at the left that represents a source of constant temperature. At the other end of the bar, a Robin condition that models heat dissipation by convection, is assumed. The constant thermal conductivity coefficients of both solids are determined under two different situations: a) two noisy temperature measurements are available, one at the interface and the other at the right boundary; b) a temperature measurement at the interface and a heat flow measurement at the right edge of the bar are given. The bounds for the errors in the identification of the unknown coefficients are obtained based on the data measurements, the room temperature and temperature values at the boundary and interface. Numerical examples are given to illustrate the ideas used for the parameter identification and elasticity analysis is carried out to measure the dependence of the data on the estimated parameters.
Fil: Umbricht, Guillermo Federico. Consejo Nacional de Investigaciones Científicas y Técnicas. Instituto de Tecnologías Emergentes y Ciencias Aplicadas. - Universidad Nacional de San Martin. Instituto de Tecnologías Emergentes y Ciencias Aplicadas; Argentina. Universidad Nacional de General Sarmiento. Instituto del Desarrollo Humano; Argentina
Fil: Tarzia, Domingo Alberto. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Austral. Facultad de Ciencias Empresariales; Argentina
Fil: Rubio, Aurora Diana. Consejo Nacional de Investigaciones Científicas y Técnicas. Instituto de Tecnologías Emergentes y Ciencias Aplicadas. - Universidad Nacional de San Martin. Instituto de Tecnologías Emergentes y Ciencias Aplicadas; 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:11336/215602
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/215602
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Determination of Two Homogeneous Materials in a Bar with Solid-Solid InterfaceUmbricht, Guillermo FedericoTarzia, Domingo AlbertoRubio, Aurora DianaELASTICITY ANALYSISHEAT TRANSFERINTERFACE PROBLEMMATHEMATICAL MODELINGNUMERICAL SIMULATIONPARAMETER ESTIMATIONhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1In this work, a bar fully insulated on its lateral surface. composed by two different unknown materials is considered. For the analytical solution, it is assumed a perfectly assembly solid-solid interface, so no heat loss due to friction is present. This is an ideal scenario, so this loss and possible measurement errors are included by simulating noisy data for the estimation of the thermal conductivity of the unknown materials. A stationary heat transfer process along the bar is considered where a Dirichlet condition is imposed at the left that represents a source of constant temperature. At the other end of the bar, a Robin condition that models heat dissipation by convection, is assumed. The constant thermal conductivity coefficients of both solids are determined under two different situations: a) two noisy temperature measurements are available, one at the interface and the other at the right boundary; b) a temperature measurement at the interface and a heat flow measurement at the right edge of the bar are given. The bounds for the errors in the identification of the unknown coefficients are obtained based on the data measurements, the room temperature and temperature values at the boundary and interface. Numerical examples are given to illustrate the ideas used for the parameter identification and elasticity analysis is carried out to measure the dependence of the data on the estimated parameters.Fil: Umbricht, Guillermo Federico. Consejo Nacional de Investigaciones Científicas y Técnicas. Instituto de Tecnologías Emergentes y Ciencias Aplicadas. - Universidad Nacional de San Martin. Instituto de Tecnologías Emergentes y Ciencias Aplicadas; Argentina. Universidad Nacional de General Sarmiento. Instituto del Desarrollo Humano; ArgentinaFil: Tarzia, Domingo Alberto. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Austral. Facultad de Ciencias Empresariales; ArgentinaFil: Rubio, Aurora Diana. Consejo Nacional de Investigaciones Científicas y Técnicas. Instituto de Tecnologías Emergentes y Ciencias Aplicadas. - Universidad Nacional de San Martin. Instituto de Tecnologías Emergentes y Ciencias Aplicadas; ArgentinaInternational Information and Engineering Technology Association2022-06info: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/11336/215602Umbricht, Guillermo Federico; Tarzia, Domingo Alberto; Rubio, Aurora Diana; Determination of Two Homogeneous Materials in a Bar with Solid-Solid Interface; International Information and Engineering Technology Association; Mathematical Modelling of Engineering Problems; 9; 3; 6-2022; 568-5762369-07392369-0747CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.iieta.org/journals/mmep/paper/10.18280/mmep.090302info:eu-repo/semantics/altIdentifier/doi/10.18280/mmep.090302info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T11:27:17Zoai:ri.conicet.gov.ar:11336/215602instacron: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 11:27:17.917CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Determination of Two Homogeneous Materials in a Bar with Solid-Solid Interface
title Determination of Two Homogeneous Materials in a Bar with Solid-Solid Interface
spellingShingle Determination of Two Homogeneous Materials in a Bar with Solid-Solid Interface
Umbricht, Guillermo Federico
ELASTICITY ANALYSIS
HEAT TRANSFER
INTERFACE PROBLEM
MATHEMATICAL MODELING
NUMERICAL SIMULATION
PARAMETER ESTIMATION
title_short Determination of Two Homogeneous Materials in a Bar with Solid-Solid Interface
title_full Determination of Two Homogeneous Materials in a Bar with Solid-Solid Interface
title_fullStr Determination of Two Homogeneous Materials in a Bar with Solid-Solid Interface
title_full_unstemmed Determination of Two Homogeneous Materials in a Bar with Solid-Solid Interface
title_sort Determination of Two Homogeneous Materials in a Bar with Solid-Solid Interface
dc.creator.none.fl_str_mv Umbricht, Guillermo Federico
Tarzia, Domingo Alberto
Rubio, Aurora Diana
author Umbricht, Guillermo Federico
author_facet Umbricht, Guillermo Federico
Tarzia, Domingo Alberto
Rubio, Aurora Diana
author_role author
author2 Tarzia, Domingo Alberto
Rubio, Aurora Diana
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 In this work, a bar fully insulated on its lateral surface. composed by two different unknown materials is considered. For the analytical solution, it is assumed a perfectly assembly solid-solid interface, so no heat loss due to friction is present. This is an ideal scenario, so this loss and possible measurement errors are included by simulating noisy data for the estimation of the thermal conductivity of the unknown materials. A stationary heat transfer process along the bar is considered where a Dirichlet condition is imposed at the left that represents a source of constant temperature. At the other end of the bar, a Robin condition that models heat dissipation by convection, is assumed. The constant thermal conductivity coefficients of both solids are determined under two different situations: a) two noisy temperature measurements are available, one at the interface and the other at the right boundary; b) a temperature measurement at the interface and a heat flow measurement at the right edge of the bar are given. The bounds for the errors in the identification of the unknown coefficients are obtained based on the data measurements, the room temperature and temperature values at the boundary and interface. Numerical examples are given to illustrate the ideas used for the parameter identification and elasticity analysis is carried out to measure the dependence of the data on the estimated parameters.
Fil: Umbricht, Guillermo Federico. Consejo Nacional de Investigaciones Científicas y Técnicas. Instituto de Tecnologías Emergentes y Ciencias Aplicadas. - Universidad Nacional de San Martin. Instituto de Tecnologías Emergentes y Ciencias Aplicadas; Argentina. Universidad Nacional de General Sarmiento. Instituto del Desarrollo Humano; Argentina
Fil: Tarzia, Domingo Alberto. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Austral. Facultad de Ciencias Empresariales; Argentina
Fil: Rubio, Aurora Diana. Consejo Nacional de Investigaciones Científicas y Técnicas. Instituto de Tecnologías Emergentes y Ciencias Aplicadas. - Universidad Nacional de San Martin. Instituto de Tecnologías Emergentes y Ciencias Aplicadas; Argentina
description In this work, a bar fully insulated on its lateral surface. composed by two different unknown materials is considered. For the analytical solution, it is assumed a perfectly assembly solid-solid interface, so no heat loss due to friction is present. This is an ideal scenario, so this loss and possible measurement errors are included by simulating noisy data for the estimation of the thermal conductivity of the unknown materials. A stationary heat transfer process along the bar is considered where a Dirichlet condition is imposed at the left that represents a source of constant temperature. At the other end of the bar, a Robin condition that models heat dissipation by convection, is assumed. The constant thermal conductivity coefficients of both solids are determined under two different situations: a) two noisy temperature measurements are available, one at the interface and the other at the right boundary; b) a temperature measurement at the interface and a heat flow measurement at the right edge of the bar are given. The bounds for the errors in the identification of the unknown coefficients are obtained based on the data measurements, the room temperature and temperature values at the boundary and interface. Numerical examples are given to illustrate the ideas used for the parameter identification and elasticity analysis is carried out to measure the dependence of the data on the estimated parameters.
publishDate 2022
dc.date.none.fl_str_mv 2022-06
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/11336/215602
Umbricht, Guillermo Federico; Tarzia, Domingo Alberto; Rubio, Aurora Diana; Determination of Two Homogeneous Materials in a Bar with Solid-Solid Interface; International Information and Engineering Technology Association; Mathematical Modelling of Engineering Problems; 9; 3; 6-2022; 568-576
2369-0739
2369-0747
CONICET Digital
CONICET
url http://hdl.handle.net/11336/215602
identifier_str_mv Umbricht, Guillermo Federico; Tarzia, Domingo Alberto; Rubio, Aurora Diana; Determination of Two Homogeneous Materials in a Bar with Solid-Solid Interface; International Information and Engineering Technology Association; Mathematical Modelling of Engineering Problems; 9; 3; 6-2022; 568-576
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/https://www.iieta.org/journals/mmep/paper/10.18280/mmep.090302
info:eu-repo/semantics/altIdentifier/doi/10.18280/mmep.090302
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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