Numerical analysis of the thermal profile inside the wall of a rotary cement kiln

Detalhes bibliográficos
Autor(a) principal: P. H. G. da Silva
Data de Publicação: 2020
Outros Autores: Jéssica Moreira, Andréa Oliveira Souza da Costa, Esly Ferreira da Costa Junior
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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spelling 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
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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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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 QUÍMICA
ENGENHARIA - ESCOLA DE ENGENHARIA
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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