Analytical solution of an industrial soybean oil extractor mathematical model - DOI: 10.4025/actascitechnol.v30i1.3217
Autor(a) principal: | |
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Data de Publicação: | 2008 |
Outros Autores: | , |
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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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 |
_version_ |
1799315333144641536 |