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
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/215602
Ver los metadatos del registro completo
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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 Técnicas2025-09-29T09:58:00Zoai: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:34982025-09-29 09:58:00.338CONICET 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 |
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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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1844613731306176512 |
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13.070432 |