Numerical modeling of heat transfer of steel tube during quenching process

Detalhes bibliográficos
Autor(a) principal: Pedro Henrique Vasconcellos Apipe
Data de Publicação: 2016
Outros Autores: Lis Soares, Ricardo Junqueira Silva, Luiz Machado, Matheus Pereira Porto
Tipo de documento: Artigo de conferência
Idioma: por
Título da fonte: Repositório Institucional da UFMG
Texto Completo: https://doi.org/10.26512/ripe.v2i11.21278
https://periodicos.unb.br/index.php/ripe/article/view/21278
http://hdl.handle.net/1843/57007
https://orcid.org/0000-0003-0449-6819
https://orcid.org/0000-0003-0629-6140
Resumo: The evolution of the cooling curve during steel hardening process is essential to define the mechanical properties and quality of the final material. As these properties vary considerably depending on the cooling rate it is essential to monitor and control the temperature evolution in the metal. This paper presents the development of a mathematical modeling of heat transfer, whose purpose is to generate the temporal evolution of the temperature in a quenching process of steel tube in which water is used as cooling fluid. In this modeling the tube is divided into N control volumes. The heat conduction equation is applied to each control volume and conductive heat transfer rate at the tube surface is considered equal heat transfer rate between the tube and water by convection. The model equations are solved by implicit finite volume method. Comparisons between the cooling curves generated by the model are compared with the corresponding curves obtained experimentally in the industrial process. The results show that the model reproduces well the trend of the cooling curve during the process. The results also showed that the cooling curve obtained with the model is very sensitive to convection heat transfer values between the tube and water.
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spelling 2023-07-26T17:06:49Z2023-07-26T17:06:49Z201637246258https://doi.org/10.26512/ripe.v2i11.21278https://periodicos.unb.br/index.php/ripe/article/view/212782447-6102http://hdl.handle.net/1843/57007https://orcid.org/0000-0003-0449-6819https://orcid.org/0000-0003-0629-6140The evolution of the cooling curve during steel hardening process is essential to define the mechanical properties and quality of the final material. As these properties vary considerably depending on the cooling rate it is essential to monitor and control the temperature evolution in the metal. This paper presents the development of a mathematical modeling of heat transfer, whose purpose is to generate the temporal evolution of the temperature in a quenching process of steel tube in which water is used as cooling fluid. In this modeling the tube is divided into N control volumes. The heat conduction equation is applied to each control volume and conductive heat transfer rate at the tube surface is considered equal heat transfer rate between the tube and water by convection. The model equations are solved by implicit finite volume method. Comparisons between the cooling curves generated by the model are compared with the corresponding curves obtained experimentally in the industrial process. The results show that the model reproduces well the trend of the cooling curve during the process. The results also showed that the cooling curve obtained with the model is very sensitive to convection heat transfer values between the tube and water.porUniversidade Federal de Minas GeraisUFMGBrasilENG - DEPARTAMENTO DE ENGENHARIA MECÂNICAIberian Latin-American Congress on Computational Methods in EngineeringCalor - TransmissãoNumerical ModelingQuenching ProcessHeat TransferNumerical modeling of heat transfer of steel tube during quenching processinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObjecthttp://2016.cilamce.com.br/Pedro Henrique Vasconcellos ApipeLis SoaresRicardo Junqueira SilvaLuiz MachadoMatheus Pereira Portoinfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFMGinstname:Universidade Federal de Minas Gerais (UFMG)instacron:UFMGLICENSELicense.txtLicense.txttext/plain; charset=utf-82042https://repositorio.ufmg.br/bitstream/1843/57007/1/License.txtfa505098d172de0bc8864fc1287ffe22MD51ORIGINALNUMERICAL MODELING OF HEAT TRANSFER OF STEEL TUBE DURING QUENCHING PROCESS.pdfNUMERICAL MODELING OF HEAT TRANSFER OF STEEL TUBE DURING QUENCHING PROCESS.pdfapplication/pdf702675https://repositorio.ufmg.br/bitstream/1843/57007/2/NUMERICAL%20MODELING%20OF%20HEAT%20TRANSFER%20OF%20STEEL%20TUBE%20DURING%20QUENCHING%20PROCESS.pdff0abab520ee9e9fe9b0e24753d4c74c0MD521843/570072023-07-26 14:06:49.776oai:repositorio.ufmg.br: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Repositório de PublicaçõesPUBhttps://repositorio.ufmg.br/oaiopendoar:2023-07-26T17:06:49Repositório Institucional da UFMG - Universidade Federal de Minas Gerais (UFMG)false
dc.title.pt_BR.fl_str_mv Numerical modeling of heat transfer of steel tube during quenching process
title Numerical modeling of heat transfer of steel tube during quenching process
spellingShingle Numerical modeling of heat transfer of steel tube during quenching process
Pedro Henrique Vasconcellos Apipe
Numerical Modeling
Quenching Process
Heat Transfer
Calor - Transmissão
title_short Numerical modeling of heat transfer of steel tube during quenching process
title_full Numerical modeling of heat transfer of steel tube during quenching process
title_fullStr Numerical modeling of heat transfer of steel tube during quenching process
title_full_unstemmed Numerical modeling of heat transfer of steel tube during quenching process
title_sort Numerical modeling of heat transfer of steel tube during quenching process
author Pedro Henrique Vasconcellos Apipe
author_facet Pedro Henrique Vasconcellos Apipe
Lis Soares
Ricardo Junqueira Silva
Luiz Machado
Matheus Pereira Porto
author_role author
author2 Lis Soares
Ricardo Junqueira Silva
Luiz Machado
Matheus Pereira Porto
author2_role author
author
author
author
dc.contributor.author.fl_str_mv Pedro Henrique Vasconcellos Apipe
Lis Soares
Ricardo Junqueira Silva
Luiz Machado
Matheus Pereira Porto
dc.subject.por.fl_str_mv Numerical Modeling
Quenching Process
Heat Transfer
topic Numerical Modeling
Quenching Process
Heat Transfer
Calor - Transmissão
dc.subject.other.pt_BR.fl_str_mv Calor - Transmissão
description The evolution of the cooling curve during steel hardening process is essential to define the mechanical properties and quality of the final material. As these properties vary considerably depending on the cooling rate it is essential to monitor and control the temperature evolution in the metal. This paper presents the development of a mathematical modeling of heat transfer, whose purpose is to generate the temporal evolution of the temperature in a quenching process of steel tube in which water is used as cooling fluid. In this modeling the tube is divided into N control volumes. The heat conduction equation is applied to each control volume and conductive heat transfer rate at the tube surface is considered equal heat transfer rate between the tube and water by convection. The model equations are solved by implicit finite volume method. Comparisons between the cooling curves generated by the model are compared with the corresponding curves obtained experimentally in the industrial process. The results show that the model reproduces well the trend of the cooling curve during the process. The results also showed that the cooling curve obtained with the model is very sensitive to convection heat transfer values between the tube and water.
publishDate 2016
dc.date.issued.fl_str_mv 2016
dc.date.accessioned.fl_str_mv 2023-07-26T17:06:49Z
dc.date.available.fl_str_mv 2023-07-26T17:06:49Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
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status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/1843/57007
dc.identifier.doi.pt_BR.fl_str_mv https://doi.org/10.26512/ripe.v2i11.21278
dc.identifier.isbn.pt_BR.fl_str_mv https://periodicos.unb.br/index.php/ripe/article/view/21278
dc.identifier.issn.pt_BR.fl_str_mv 2447-6102
dc.identifier.orcid.pt_BR.fl_str_mv https://orcid.org/0000-0003-0449-6819
https://orcid.org/0000-0003-0629-6140
url https://doi.org/10.26512/ripe.v2i11.21278
https://periodicos.unb.br/index.php/ripe/article/view/21278
http://hdl.handle.net/1843/57007
https://orcid.org/0000-0003-0449-6819
https://orcid.org/0000-0003-0629-6140
identifier_str_mv 2447-6102
dc.language.iso.fl_str_mv por
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dc.relation.ispartof.pt_BR.fl_str_mv Iberian Latin-American Congress on Computational Methods in Engineering
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
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dc.publisher.none.fl_str_mv Universidade Federal de Minas Gerais
dc.publisher.initials.fl_str_mv UFMG
dc.publisher.country.fl_str_mv Brasil
dc.publisher.department.fl_str_mv ENG - DEPARTAMENTO DE ENGENHARIA MECÂNICA
publisher.none.fl_str_mv Universidade Federal de Minas Gerais
dc.source.none.fl_str_mv reponame:Repositório Institucional da UFMG
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