Analytical solution of an industrial soybean oil extractor mathematical model - DOI: 10.4025/actascitechnol.v30i1.3217

Detalhes bibliográficos
Autor(a) principal: Almeida, Robson Luciano de
Data de Publicação: 2008
Outros Autores: Módenes, Aparecido Nivaldo, Ravagnani, Mauro Antonio da Silva Sá
Tipo de documento: Artigo
Idioma: por
Título da fonte: Acta scientiarum. Technology (Online)
Texto Completo: http://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/article/view/3217
Resumo: This paper presents an analytical solution for a model of the soybean oil extraction using horizontal belt extractors. The partial differential equations of the chosen model describe the mass transfer in the bed, as well as each stage of the extraction process in the belt extractors. The general analytical solution was obtained using a symbolic mathematic package. Results showed that this solution does not satisfy all boundary and initial conditions of the model. A simplification of the analyzed system and the use of some boundary conditions with practical meaning were the basis for obtaining a particular solution of the extraction process in belt extractors. The analytical solutions provide some clear advantages in the comprehension of the behavior of the extractor.
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spelling Analytical solution of an industrial soybean oil extractor mathematical model - DOI: 10.4025/actascitechnol.v30i1.3217Solução analítica do modelo de um extrator industrial de óleo de soja - DOI: 10.4025/actascitechnol.v30i1.3217solid-liquid extractionsoybean oilanalytical solutionbelt extractorextração sólido-líquidoóleo de sojasolução analíticaextrator de esteira3.06.00.00-6 Engenharia QuímicaThis paper presents an analytical solution for a model of the soybean oil extraction using horizontal belt extractors. The partial differential equations of the chosen model describe the mass transfer in the bed, as well as each stage of the extraction process in the belt extractors. The general analytical solution was obtained using a symbolic mathematic package. Results showed that this solution does not satisfy all boundary and initial conditions of the model. A simplification of the analyzed system and the use of some boundary conditions with practical meaning were the basis for obtaining a particular solution of the extraction process in belt extractors. The analytical solutions provide some clear advantages in the comprehension of the behavior of the extractor.Neste trabalho, é apresentada a solução analítica de um modelo matemático para a extração de óleo de soja, em extratores de esteira horizontais. As equações diferenciais parciais do modelo escolhido descrevem a transferência de massa em leito fixo e podem ser aplicadas na modelagem da extração de cada estágio desse tipo de extratores. A solução analítica geral obtida, com o auxílio de ferramentas computacionais, não satisfez todas as condições de contorno e inicial, propostas no modelo. A simplificação do sistema analisado e a utilização de algumas condições de contorno tornaram possível a obtenção de uma solução específica para o modelo estudado. A obtenção da solução analítica permite uma análise potencial, simples e rápida das variáveis envolvidas no processo, sejam operacionais ou de projeto, facilitando a compreensão do comportamento do extrator.Universidade Estadual De Maringá2008-05-08info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttp://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/article/view/321710.4025/actascitechnol.v30i1.3217Acta Scientiarum. Technology; Vol 30 No 1 (2008); 83-86Acta Scientiarum. Technology; v. 30 n. 1 (2008); 83-861806-25631807-8664reponame:Acta scientiarum. Technology (Online)instname:Universidade Estadual de Maringá (UEM)instacron:UEMporhttp://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/article/view/3217/1935Almeida, Robson Luciano deMódenes, Aparecido NivaldoRavagnani, Mauro Antonio da Silva Sáinfo:eu-repo/semantics/openAccess2024-05-17T13:03:00Zoai:periodicos.uem.br/ojs:article/3217Revistahttps://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/indexPUBhttps://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/oai||actatech@uem.br1807-86641806-2563opendoar:2024-05-17T13:03Acta scientiarum. Technology (Online) - Universidade Estadual de Maringá (UEM)false
dc.title.none.fl_str_mv Analytical solution of an industrial soybean oil extractor mathematical model - DOI: 10.4025/actascitechnol.v30i1.3217
Solução analítica do modelo de um extrator industrial de óleo de soja - DOI: 10.4025/actascitechnol.v30i1.3217
title Analytical solution of an industrial soybean oil extractor mathematical model - DOI: 10.4025/actascitechnol.v30i1.3217
spellingShingle Analytical solution of an industrial soybean oil extractor mathematical model - DOI: 10.4025/actascitechnol.v30i1.3217
Almeida, Robson Luciano de
solid-liquid extraction
soybean oil
analytical solution
belt extractor
extração sólido-líquido
óleo de soja
solução analítica
extrator de esteira
3.06.00.00-6 Engenharia Química
title_short Analytical solution of an industrial soybean oil extractor mathematical model - DOI: 10.4025/actascitechnol.v30i1.3217
title_full Analytical solution of an industrial soybean oil extractor mathematical model - DOI: 10.4025/actascitechnol.v30i1.3217
title_fullStr Analytical solution of an industrial soybean oil extractor mathematical model - DOI: 10.4025/actascitechnol.v30i1.3217
title_full_unstemmed Analytical solution of an industrial soybean oil extractor mathematical model - DOI: 10.4025/actascitechnol.v30i1.3217
title_sort Analytical solution of an industrial soybean oil extractor mathematical model - DOI: 10.4025/actascitechnol.v30i1.3217
author Almeida, Robson Luciano de
author_facet Almeida, Robson Luciano de
Módenes, Aparecido Nivaldo
Ravagnani, Mauro Antonio da Silva Sá
author_role author
author2 Módenes, Aparecido Nivaldo
Ravagnani, Mauro Antonio da Silva Sá
author2_role author
author
dc.contributor.author.fl_str_mv Almeida, Robson Luciano de
Módenes, Aparecido Nivaldo
Ravagnani, Mauro Antonio da Silva Sá
dc.subject.por.fl_str_mv solid-liquid extraction
soybean oil
analytical solution
belt extractor
extração sólido-líquido
óleo de soja
solução analítica
extrator de esteira
3.06.00.00-6 Engenharia Química
topic solid-liquid extraction
soybean oil
analytical solution
belt extractor
extração sólido-líquido
óleo de soja
solução analítica
extrator de esteira
3.06.00.00-6 Engenharia Química
description This paper presents an analytical solution for a model of the soybean oil extraction using horizontal belt extractors. The partial differential equations of the chosen model describe the mass transfer in the bed, as well as each stage of the extraction process in the belt extractors. The general analytical solution was obtained using a symbolic mathematic package. Results showed that this solution does not satisfy all boundary and initial conditions of the model. A simplification of the analyzed system and the use of some boundary conditions with practical meaning were the basis for obtaining a particular solution of the extraction process in belt extractors. The analytical solutions provide some clear advantages in the comprehension of the behavior of the extractor.
publishDate 2008
dc.date.none.fl_str_mv 2008-05-08
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/article/view/3217
10.4025/actascitechnol.v30i1.3217
url http://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/article/view/3217
identifier_str_mv 10.4025/actascitechnol.v30i1.3217
dc.language.iso.fl_str_mv por
language por
dc.relation.none.fl_str_mv http://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/article/view/3217/1935
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Universidade Estadual De Maringá
publisher.none.fl_str_mv Universidade Estadual De Maringá
dc.source.none.fl_str_mv Acta Scientiarum. Technology; Vol 30 No 1 (2008); 83-86
Acta Scientiarum. Technology; v. 30 n. 1 (2008); 83-86
1806-2563
1807-8664
reponame:Acta scientiarum. Technology (Online)
instname:Universidade Estadual de Maringá (UEM)
instacron:UEM
instname_str Universidade Estadual de Maringá (UEM)
instacron_str UEM
institution UEM
reponame_str Acta scientiarum. Technology (Online)
collection Acta scientiarum. Technology (Online)
repository.name.fl_str_mv Acta scientiarum. Technology (Online) - Universidade Estadual de Maringá (UEM)
repository.mail.fl_str_mv ||actatech@uem.br
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