Numerical analysis of the thermal profile inside the wall of a rotary cement kiln
Autor(a) principal: | |
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Data de Publicação: | 2020 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UFMG |
Texto Completo: | https://doi.org/10.1590/0366-69132020663802902 http://hdl.handle.net/1843/57233 https://orcid.org/0000-0002-6763-9752 |
Resumo: | The present study aimed to evaluate the temperature profile along the inside of the wall of a clinker kiln from a cement industry. The problem was modeled by the equation of transient heat conduction in cylindrical coordinates, considering radial symmetry. Being the wall composed of different materials, even adopting constant physical properties, there is no analytical solution to the problem. The method of the lines was used, being the radial and axial directions discretized by finite differences and the resulting system of ordinary differential equations integrated in time until obtaining the temperature field in steady state. The obtained field was compatible with heat transfer fundamentals and presented a good fit in relation to industrial data. The main limitations of the modeling performed in this study include the fact that the gases and solids contained in the kiln have not been modeled, and the variation in thicknesses of the layers of the kiln wall has not been considered. The program developed in this study can be used to evaluate the performance of different refractories or to infer the refractory wear level from experimental kiln surface temperature profiles. |
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2023-07-31T16:39:53Z2023-07-31T16:39:53Z202066380496506https://doi.org/10.1590/0366-691320206638029020366-6913http://hdl.handle.net/1843/57233https://orcid.org/0000-0002-6763-9752The present study aimed to evaluate the temperature profile along the inside of the wall of a clinker kiln from a cement industry. The problem was modeled by the equation of transient heat conduction in cylindrical coordinates, considering radial symmetry. Being the wall composed of different materials, even adopting constant physical properties, there is no analytical solution to the problem. The method of the lines was used, being the radial and axial directions discretized by finite differences and the resulting system of ordinary differential equations integrated in time until obtaining the temperature field in steady state. The obtained field was compatible with heat transfer fundamentals and presented a good fit in relation to industrial data. The main limitations of the modeling performed in this study include the fact that the gases and solids contained in the kiln have not been modeled, and the variation in thicknesses of the layers of the kiln wall has not been considered. The program developed in this study can be used to evaluate the performance of different refractories or to infer the refractory wear level from experimental kiln surface temperature profiles.O presente trabalho buscou avaliar o perfil de temperatura ao longo do interior da parede de um forno de clínquer de uma indústria de cimento. O problema foi modelado pela equação da condução transiente de calor em coordenadas cilíndricas, considerando-se simetria radial. Sendo a parede composta de diferentes materiais, mesmo adotando-se propriedades físicas constantes, não há solução analítica para o problema. Empregou-se o método das linhas, sendo as direções radial e axial discretizadas por diferenças finitas e o sistema de equações diferenciais ordinárias resultante integrado no tempo até a obtenção do campo de temperaturas em regime permanente. O campo obtido foi compatível com fundamentos de transferência de calor e apresentou bom ajuste em relação a dados industriais. As principais limitações da modelagem realizada incluem o fato de os gases e sólidos contidos no forno não terem sido modelados e a variação nas espessuras das camadas da parede do forno não ter sido considerada. O programa desenvolvido pode ser empregado na avaliação do desempenho de diferentes refratários ou na inferência do nível de desgaste dos refratários a partir de perfis experimentais de temperatura na superfície do forno.CAPES - Coordenação de Aperfeiçoamento de Pessoal de Nível SuperiorengUniversidade Federal de Minas GeraisUFMGBrasilENG - DEPARTAMENTO DE ENGENHARIA QUÍMICAENGENHARIA - ESCOLA DE ENGENHARIACerâmicaEngenharia MecânicaEngenharia QuímicaAnálise matemáticaFornalhasForno de cimentoPerfil de temperaturaAnálise numéricaMétodo das linhasNumerical analysis of the thermal profile inside the wall of a rotary cement kilnAnálise numérica do perfil térmico na parede de um forno rotativo de cimentoinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttps://www.scielo.br/j/ce/a/q3bmLJHsHhZy4wcmMdfWT3s/?lang=enP. H. G. da SilvaJéssica MoreiraAndréa Oliveira Souza da CostaEsly Ferreira da Costa Juniorapplication/pdfinfo: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/1843/57233/1/License.txtfa505098d172de0bc8864fc1287ffe22MD51ORIGINALNumerical analysis of the thermal profile inside the wall of a rotary cement kiln.pdfNumerical analysis of the thermal profile inside the wall of a rotary cement kiln.pdfapplication/pdf3799172https://repositorio.ufmg.br/bitstream/1843/57233/2/Numerical%20analysis%20of%20the%20thermal%20profile%20inside%20the%20wall%20of%20a%20rotary%20cement%20kiln.pdf27f92830ce95538d7db72aafaa2bb653MD521843/572332023-07-31 13:39:53.781oai:repositorio.ufmg.br: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Repositório de PublicaçõesPUBhttps://repositorio.ufmg.br/oaiopendoar:2023-07-31T16:39:53Repositório Institucional da UFMG - Universidade Federal de Minas Gerais (UFMG)false |
dc.title.pt_BR.fl_str_mv |
Numerical analysis of the thermal profile inside the wall of a rotary cement kiln |
dc.title.alternative.pt_BR.fl_str_mv |
Análise numérica do perfil térmico na parede de um forno rotativo de cimento |
title |
Numerical analysis of the thermal profile inside the wall of a rotary cement kiln |
spellingShingle |
Numerical analysis of the thermal profile inside the wall of a rotary cement kiln P. H. G. da Silva Forno de cimento Perfil de temperatura Análise numérica Método das linhas Engenharia Mecânica Engenharia Química Análise matemática Fornalhas |
title_short |
Numerical analysis of the thermal profile inside the wall of a rotary cement kiln |
title_full |
Numerical analysis of the thermal profile inside the wall of a rotary cement kiln |
title_fullStr |
Numerical analysis of the thermal profile inside the wall of a rotary cement kiln |
title_full_unstemmed |
Numerical analysis of the thermal profile inside the wall of a rotary cement kiln |
title_sort |
Numerical analysis of the thermal profile inside the wall of a rotary cement kiln |
author |
P. H. G. da Silva |
author_facet |
P. H. G. da Silva Jéssica Moreira Andréa Oliveira Souza da Costa Esly Ferreira da Costa Junior |
author_role |
author |
author2 |
Jéssica Moreira Andréa Oliveira Souza da Costa Esly Ferreira da Costa Junior |
author2_role |
author author author |
dc.contributor.author.fl_str_mv |
P. H. G. da Silva Jéssica Moreira Andréa Oliveira Souza da Costa Esly Ferreira da Costa Junior |
dc.subject.por.fl_str_mv |
Forno de cimento Perfil de temperatura Análise numérica Método das linhas |
topic |
Forno de cimento Perfil de temperatura Análise numérica Método das linhas Engenharia Mecânica Engenharia Química Análise matemática Fornalhas |
dc.subject.other.pt_BR.fl_str_mv |
Engenharia Mecânica Engenharia Química Análise matemática Fornalhas |
description |
The present study aimed to evaluate the temperature profile along the inside of the wall of a clinker kiln from a cement industry. The problem was modeled by the equation of transient heat conduction in cylindrical coordinates, considering radial symmetry. Being the wall composed of different materials, even adopting constant physical properties, there is no analytical solution to the problem. The method of the lines was used, being the radial and axial directions discretized by finite differences and the resulting system of ordinary differential equations integrated in time until obtaining the temperature field in steady state. The obtained field was compatible with heat transfer fundamentals and presented a good fit in relation to industrial data. The main limitations of the modeling performed in this study include the fact that the gases and solids contained in the kiln have not been modeled, and the variation in thicknesses of the layers of the kiln wall has not been considered. The program developed in this study can be used to evaluate the performance of different refractories or to infer the refractory wear level from experimental kiln surface temperature profiles. |
publishDate |
2020 |
dc.date.issued.fl_str_mv |
2020 |
dc.date.accessioned.fl_str_mv |
2023-07-31T16:39:53Z |
dc.date.available.fl_str_mv |
2023-07-31T16:39:53Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://hdl.handle.net/1843/57233 |
dc.identifier.doi.pt_BR.fl_str_mv |
https://doi.org/10.1590/0366-69132020663802902 |
dc.identifier.issn.pt_BR.fl_str_mv |
0366-6913 |
dc.identifier.orcid.pt_BR.fl_str_mv |
https://orcid.org/0000-0002-6763-9752 |
url |
https://doi.org/10.1590/0366-69132020663802902 http://hdl.handle.net/1843/57233 https://orcid.org/0000-0002-6763-9752 |
identifier_str_mv |
0366-6913 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.ispartof.pt_BR.fl_str_mv |
Cerâmica |
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info:eu-repo/semantics/openAccess |
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openAccess |
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application/pdf |
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Universidade Federal de Minas Gerais |
dc.publisher.initials.fl_str_mv |
UFMG |
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Brasil |
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ENG - DEPARTAMENTO DE ENGENHARIA QUÍMICA ENGENHARIA - ESCOLA DE ENGENHARIA |
publisher.none.fl_str_mv |
Universidade Federal de Minas Gerais |
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