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Novel methodologies for solving the inverse unsteady heat transfer problem of estimating the boundary heat flux in continuous casting molds

In this article, we investigate the estimation of the transient mold‐slab heat flux in continuous casting molds given some thermocouples measurements in the mold plates. Mathematically, we can see this problem as the estimation of a Neumann boundary condition given pointwise state observations in th...

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Autores principales: Morelli, Umberto Emil, Barral, Patricia, Quintela, Peregrina, Rozza, Gianluigi, Stabile, Giovanni
Formato: Online Artículo Texto
Lenguaje:English
Publicado: John Wiley & Sons, Inc. 2022
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10099285/
https://www.ncbi.nlm.nih.gov/pubmed/37063341
http://dx.doi.org/10.1002/nme.7167
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author Morelli, Umberto Emil
Barral, Patricia
Quintela, Peregrina
Rozza, Gianluigi
Stabile, Giovanni
author_facet Morelli, Umberto Emil
Barral, Patricia
Quintela, Peregrina
Rozza, Gianluigi
Stabile, Giovanni
author_sort Morelli, Umberto Emil
collection PubMed
description In this article, we investigate the estimation of the transient mold‐slab heat flux in continuous casting molds given some thermocouples measurements in the mold plates. Mathematically, we can see this problem as the estimation of a Neumann boundary condition given pointwise state observations in the interior of the domain. We formulate it in a deterministic inverse problem setting. After introducing the industrial problem, we present the mold thermal model and related assumptions. Then, we formulate the boundary heat flux estimation problem in a deterministic inverse problem setting using a sequential approach according to the sequentiality of the temperature measurements. We consider different formulations of the inverse problem. For each one, we develop novel direct methodologies exploiting a space parameterization of the heat flux and the linearity of the mold model. We construct these methods to be divided into a computationally expensive offline phase that can be computed before the process starts, and a cheaper online phase to be performed during the casting process. To conclude, we test the performance of the proposed methods in two benchmark cases.
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spelling pubmed-100992852023-04-14 Novel methodologies for solving the inverse unsteady heat transfer problem of estimating the boundary heat flux in continuous casting molds Morelli, Umberto Emil Barral, Patricia Quintela, Peregrina Rozza, Gianluigi Stabile, Giovanni Int J Numer Methods Eng Research Articles In this article, we investigate the estimation of the transient mold‐slab heat flux in continuous casting molds given some thermocouples measurements in the mold plates. Mathematically, we can see this problem as the estimation of a Neumann boundary condition given pointwise state observations in the interior of the domain. We formulate it in a deterministic inverse problem setting. After introducing the industrial problem, we present the mold thermal model and related assumptions. Then, we formulate the boundary heat flux estimation problem in a deterministic inverse problem setting using a sequential approach according to the sequentiality of the temperature measurements. We consider different formulations of the inverse problem. For each one, we develop novel direct methodologies exploiting a space parameterization of the heat flux and the linearity of the mold model. We construct these methods to be divided into a computationally expensive offline phase that can be computed before the process starts, and a cheaper online phase to be performed during the casting process. To conclude, we test the performance of the proposed methods in two benchmark cases. John Wiley & Sons, Inc. 2022-11-21 2023-03-30 /pmc/articles/PMC10099285/ /pubmed/37063341 http://dx.doi.org/10.1002/nme.7167 Text en © 2022 The Authors. International Journal for Numerical Methods in Engineering published by John Wiley & Sons Ltd. https://creativecommons.org/licenses/by/4.0/This is an open access article under the terms of the http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Articles
Morelli, Umberto Emil
Barral, Patricia
Quintela, Peregrina
Rozza, Gianluigi
Stabile, Giovanni
Novel methodologies for solving the inverse unsteady heat transfer problem of estimating the boundary heat flux in continuous casting molds
title Novel methodologies for solving the inverse unsteady heat transfer problem of estimating the boundary heat flux in continuous casting molds
title_full Novel methodologies for solving the inverse unsteady heat transfer problem of estimating the boundary heat flux in continuous casting molds
title_fullStr Novel methodologies for solving the inverse unsteady heat transfer problem of estimating the boundary heat flux in continuous casting molds
title_full_unstemmed Novel methodologies for solving the inverse unsteady heat transfer problem of estimating the boundary heat flux in continuous casting molds
title_short Novel methodologies for solving the inverse unsteady heat transfer problem of estimating the boundary heat flux in continuous casting molds
title_sort novel methodologies for solving the inverse unsteady heat transfer problem of estimating the boundary heat flux in continuous casting molds
topic Research Articles
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10099285/
https://www.ncbi.nlm.nih.gov/pubmed/37063341
http://dx.doi.org/10.1002/nme.7167
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