Numerical modeling of heat transfer of steel tube during quenching process
Autor(a) principal: | |
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Data de Publicação: | 2016 |
Outros Autores: | , , , |
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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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 |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/conferenceObject |
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conferenceObject |
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 |
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por |
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por |
dc.relation.ispartof.pt_BR.fl_str_mv |
Iberian Latin-American Congress on Computational Methods in Engineering |
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info:eu-repo/semantics/openAccess |
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openAccess |
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 |
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ENG - DEPARTAMENTO DE ENGENHARIA MECÂNICA |
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Universidade Federal de Minas Gerais |
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