Obtaining residual curves maps for homogeneous azeotropic ternary systems: a comparative study
Autor(a) principal: | |
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Data de Publicação: | 2020 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | por |
Título da fonte: | Revista de Engenharia Química e Química |
Texto Completo: | https://periodicos.ufv.br/jcec/article/view/11202 |
Resumo: | Residual curve maps are particularly useful for interpreting azeotropic distillation performance of homogeneous systems. These maps are obtained through a system of differential equations, which is commonly solved in two steps, namely a liquid-vapor equilibrium and a system of differential equations. An alternative solution treats both steps as a single system of equations. The objective of the present work is to compare both solution approaches. The ternary systems, namely ethanol/methyl-cyclohexene/3-methyl-pentane, and ethyl acetate/n-hexane/acetone, are used to this end. The fugacity coefficient of the vapor phase was calculated by the Virial equation, and the activity coefficient of the liquid phase, through the WILSON, NRTL, UNIQUAC and UNIFAC models. The results showed the potential of the alternative method in comparison to the conventional approach. This regards to the computational time spent for obtaining the residual curve maps, equal to 4 and 25 seconds in average, respectively. Other issue concerns the detection of the distillation border, which can be obtained without the computation of the azeotrope points. |
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Obtaining residual curves maps for homogeneous azeotropic ternary systems: a comparative studyObtenção de mapas de curvas residuais para sistemas ternários azeotrópicos homogêneos: um estudo comparativoThermodynamicsPhase equilibriaResidual curve mapsTermodinâmicaEquilíbrio de fasesMapas de curvas residuaisResidual curve maps are particularly useful for interpreting azeotropic distillation performance of homogeneous systems. These maps are obtained through a system of differential equations, which is commonly solved in two steps, namely a liquid-vapor equilibrium and a system of differential equations. An alternative solution treats both steps as a single system of equations. The objective of the present work is to compare both solution approaches. The ternary systems, namely ethanol/methyl-cyclohexene/3-methyl-pentane, and ethyl acetate/n-hexane/acetone, are used to this end. The fugacity coefficient of the vapor phase was calculated by the Virial equation, and the activity coefficient of the liquid phase, through the WILSON, NRTL, UNIQUAC and UNIFAC models. The results showed the potential of the alternative method in comparison to the conventional approach. This regards to the computational time spent for obtaining the residual curve maps, equal to 4 and 25 seconds in average, respectively. Other issue concerns the detection of the distillation border, which can be obtained without the computation of the azeotrope points.Os mapas de curvas residuais são muito úteis para interpretar o desempenho da destilação azeotrópica de sistemas homogêneos. Esses mapas são obtidos através de um sistema de equações diferenciais, comumente resolvido em duas etapas, a saber, um equilíbrio líquido-vapor e um sistema de equações diferenciais. Uma solução alternativa trata ambas as etapas como um único sistema de equações. O objetivo do presente trabalho é comparar as duas abordagens de solução. Os sistemas ternários, nomeadamente etanol/metil-cicloexano/3-metil-pentano e acetato de etila/n-hexano/acetona, são usados para este fim. O coeficiente de fugacidade da fase de vapor foi calculado pela equação de Virial (truncada no segundo coeficiente), e o coeficiente de atividade da fase líquida, através dos modelos WILSON, NRTL, UNIQUAC e UNIFAC. Os resultados mostraram o potencial do método alternativo em comparação à abordagem convencional. Isso diz respeito ao tempo computacional despendido para a obtenção dos mapas das curvas residuais, igual a 4 e 25 segundos em média, respectivamente. Outra questão diz respeito à detecção da borda de destilação, que pode ser obtida sem o cálculo dos pontos de azeótropo.Universidade Federal de Viçosa - UFV2020-12-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://periodicos.ufv.br/jcec/article/view/1120210.18540/jcecvl6iss5pp0655-0665The Journal of Engineering and Exact Sciences; Vol. 6 No. 5 (2020); 0655-0665The Journal of Engineering and Exact Sciences; Vol. 6 Núm. 5 (2020); 0655-0665The Journal of Engineering and Exact Sciences; v. 6 n. 5 (2020); 0655-06652527-1075reponame:Revista de Engenharia Química e Químicainstname:Universidade Federal de Viçosa (UFV)instacron:UFVporhttps://periodicos.ufv.br/jcec/article/view/11202/6387Copyright (c) 2020 The Journal of Engineering and Exact Scienceshttps://creativecommons.org/licenses/by/4.0info:eu-repo/semantics/openAccessSilva, Josemar Pereira da Neto, Márcio Ribeiro ViannaAlmeida, Gustavo Matheus Oliveira, Eder Domingos de 2022-06-03T11:32:13Zoai:ojs.periodicos.ufv.br:article/11202Revistahttp://www.seer.ufv.br/seer/rbeq2/index.php/req2/indexONGhttps://periodicos.ufv.br/jcec/oaijcec.journal@ufv.br||req2@ufv.br2446-94162446-9416opendoar:2022-06-03T11:32:13Revista de Engenharia Química e Química - Universidade Federal de Viçosa (UFV)false |
dc.title.none.fl_str_mv |
Obtaining residual curves maps for homogeneous azeotropic ternary systems: a comparative study Obtenção de mapas de curvas residuais para sistemas ternários azeotrópicos homogêneos: um estudo comparativo |
title |
Obtaining residual curves maps for homogeneous azeotropic ternary systems: a comparative study |
spellingShingle |
Obtaining residual curves maps for homogeneous azeotropic ternary systems: a comparative study Silva, Josemar Pereira da Thermodynamics Phase equilibria Residual curve maps Termodinâmica Equilíbrio de fases Mapas de curvas residuais |
title_short |
Obtaining residual curves maps for homogeneous azeotropic ternary systems: a comparative study |
title_full |
Obtaining residual curves maps for homogeneous azeotropic ternary systems: a comparative study |
title_fullStr |
Obtaining residual curves maps for homogeneous azeotropic ternary systems: a comparative study |
title_full_unstemmed |
Obtaining residual curves maps for homogeneous azeotropic ternary systems: a comparative study |
title_sort |
Obtaining residual curves maps for homogeneous azeotropic ternary systems: a comparative study |
author |
Silva, Josemar Pereira da |
author_facet |
Silva, Josemar Pereira da Neto, Márcio Ribeiro Vianna Almeida, Gustavo Matheus Oliveira, Eder Domingos de |
author_role |
author |
author2 |
Neto, Márcio Ribeiro Vianna Almeida, Gustavo Matheus Oliveira, Eder Domingos de |
author2_role |
author author author |
dc.contributor.author.fl_str_mv |
Silva, Josemar Pereira da Neto, Márcio Ribeiro Vianna Almeida, Gustavo Matheus Oliveira, Eder Domingos de |
dc.subject.por.fl_str_mv |
Thermodynamics Phase equilibria Residual curve maps Termodinâmica Equilíbrio de fases Mapas de curvas residuais |
topic |
Thermodynamics Phase equilibria Residual curve maps Termodinâmica Equilíbrio de fases Mapas de curvas residuais |
description |
Residual curve maps are particularly useful for interpreting azeotropic distillation performance of homogeneous systems. These maps are obtained through a system of differential equations, which is commonly solved in two steps, namely a liquid-vapor equilibrium and a system of differential equations. An alternative solution treats both steps as a single system of equations. The objective of the present work is to compare both solution approaches. The ternary systems, namely ethanol/methyl-cyclohexene/3-methyl-pentane, and ethyl acetate/n-hexane/acetone, are used to this end. The fugacity coefficient of the vapor phase was calculated by the Virial equation, and the activity coefficient of the liquid phase, through the WILSON, NRTL, UNIQUAC and UNIFAC models. The results showed the potential of the alternative method in comparison to the conventional approach. This regards to the computational time spent for obtaining the residual curve maps, equal to 4 and 25 seconds in average, respectively. Other issue concerns the detection of the distillation border, which can be obtained without the computation of the azeotrope points. |
publishDate |
2020 |
dc.date.none.fl_str_mv |
2020-12-12 |
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 |
https://periodicos.ufv.br/jcec/article/view/11202 10.18540/jcecvl6iss5pp0655-0665 |
url |
https://periodicos.ufv.br/jcec/article/view/11202 |
identifier_str_mv |
10.18540/jcecvl6iss5pp0655-0665 |
dc.language.iso.fl_str_mv |
por |
language |
por |
dc.relation.none.fl_str_mv |
https://periodicos.ufv.br/jcec/article/view/11202/6387 |
dc.rights.driver.fl_str_mv |
Copyright (c) 2020 The Journal of Engineering and Exact Sciences https://creativecommons.org/licenses/by/4.0 info:eu-repo/semantics/openAccess |
rights_invalid_str_mv |
Copyright (c) 2020 The Journal of Engineering and Exact Sciences https://creativecommons.org/licenses/by/4.0 |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.publisher.none.fl_str_mv |
Universidade Federal de Viçosa - UFV |
publisher.none.fl_str_mv |
Universidade Federal de Viçosa - UFV |
dc.source.none.fl_str_mv |
The Journal of Engineering and Exact Sciences; Vol. 6 No. 5 (2020); 0655-0665 The Journal of Engineering and Exact Sciences; Vol. 6 Núm. 5 (2020); 0655-0665 The Journal of Engineering and Exact Sciences; v. 6 n. 5 (2020); 0655-0665 2527-1075 reponame:Revista de Engenharia Química e Química instname:Universidade Federal de Viçosa (UFV) instacron:UFV |
instname_str |
Universidade Federal de Viçosa (UFV) |
instacron_str |
UFV |
institution |
UFV |
reponame_str |
Revista de Engenharia Química e Química |
collection |
Revista de Engenharia Química e Química |
repository.name.fl_str_mv |
Revista de Engenharia Química e Química - Universidade Federal de Viçosa (UFV) |
repository.mail.fl_str_mv |
jcec.journal@ufv.br||req2@ufv.br |
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1800211189486059520 |