Computation of residue curves maps using a simple finite difference method

Detalhes bibliográficos
Autor(a) principal: Silva, Josemar Pereira da
Data de Publicação: 2020
Outros Autores: Vianna Neto, Márcio Ribeiro, Almeida, Gustavo Matheus, Oliveira, Éder Domingues de
Tipo de documento: Artigo
Idioma: por
Título da fonte: Revista de Engenharia Química e Química
Texto Completo: https://periodicos.ufv.br/jcec/article/view/11851
Resumo: The most common methodology for obtaining residue curve maps is through a system of differential equatioin, commoly solved 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.  The goal of this work is to present a new methodology for the elaboration of residual curve maps.differential equations. In this methodology, the bubble T is considered a differential equation and together with the Rayleigh equation, which is a system of differential equations that determines the residual composition of a liquid mixture to be distilled, are solved using the Finite Difference Method.  For this purpose, the new methodology will be applied to the ternary systems ethyl ether / methanol / 1-butanol and ethanol / 2-methyl 2-propanol / methylcyclohexane. The fugacity coefficient of the vapor phase was calculated using the Virial equation (truncated in the second coefficient), and the activity coefficient of the liquid phase, using the NRTL, UNIQUAC and UNIFAC models. The results showed the potential of the new methodology compared to conventional approaches.
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spelling Computation of residue curves maps using a simple finite difference methodCálculo de mapas de curvas residuais usando um o método simples de diferenças finitasTermodinâmicaEquilíbrio de fasesMapas de curvas residuais Diferenças FinitasThermodynamicsPhase equilibriaResidual curve mapsFinite Difference The most common methodology for obtaining residue curve maps is through a system of differential equatioin, commoly solved 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.  The goal of this work is to present a new methodology for the elaboration of residual curve maps.differential equations. In this methodology, the bubble T is considered a differential equation and together with the Rayleigh equation, which is a system of differential equations that determines the residual composition of a liquid mixture to be distilled, are solved using the Finite Difference Method.  For this purpose, the new methodology will be applied to the ternary systems ethyl ether / methanol / 1-butanol and ethanol / 2-methyl 2-propanol / methylcyclohexane. The fugacity coefficient of the vapor phase was calculated using the Virial equation (truncated in the second coefficient), and the activity coefficient of the liquid phase, using the NRTL, UNIQUAC and UNIFAC models. The results showed the potential of the new methodology compared to conventional approaches. A metodologia mais comum de obter os mapas de curvas residuais é através de um sistema de equações diferenciais, comumente resolvido em duas etapas, a saber, um equilíbrio líquido-vapor e um sistema de equações diferenciais. O objetivo deste trabalho é apresentar uma nova metodologia de elaboração dos mapas de curvas residuais. Nesta metodologia o bolha T é considerado uma equação diferencial e juntamente coma equação de Rayleigh, que é um sistema de equações diferenciais que determina a composição residual de uma mistura líquida a ser destilada, são resolvidas através do Método das Diferenças Finitas. Para este intuito a nova metodologia será aplicada aos sistemas ternários éter etílico/metanol/1-butanol e  etanoll/2-metil 2-propanol/metilciclohexano. 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 NRTL, UNIQUAC e UNIFAC. Os resultados mostraram o potencial da nova metodologia em comparação às abordagens convencionaisUniversidade Federal de Viçosa - UFV2020-12-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://periodicos.ufv.br/jcec/article/view/1185110.18540/jcecvl6iss5pp0770-0776The Journal of Engineering and Exact Sciences; Vol. 6 No. 5 (2020); 0770-0776The Journal of Engineering and Exact Sciences; Vol. 6 Núm. 5 (2020); 0770-0776The Journal of Engineering and Exact Sciences; v. 6 n. 5 (2020); 0770-07762527-1075reponame:Revista de Engenharia Química e Químicainstname:Universidade Federal de Viçosa (UFV)instacron:UFVporhttps://periodicos.ufv.br/jcec/article/view/11851/6468Copyright (c) 2020 The Journal of Engineering and Exact Scienceshttps://creativecommons.org/licenses/by/4.0info:eu-repo/semantics/openAccessSilva, Josemar Pereira daVianna Neto, Márcio RibeiroAlmeida, Gustavo Matheus Oliveira, Éder Domingues de 2022-06-03T11:33:23Zoai:ojs.periodicos.ufv.br:article/11851Revistahttp://www.seer.ufv.br/seer/rbeq2/index.php/req2/indexONGhttps://periodicos.ufv.br/jcec/oaijcec.journal@ufv.br||req2@ufv.br2446-94162446-9416opendoar:2022-06-03T11:33:23Revista de Engenharia Química e Química - Universidade Federal de Viçosa (UFV)false
dc.title.none.fl_str_mv Computation of residue curves maps using a simple finite difference method
Cálculo de mapas de curvas residuais usando um o método simples de diferenças finitas
title Computation of residue curves maps using a simple finite difference method
spellingShingle Computation of residue curves maps using a simple finite difference method
Silva, Josemar Pereira da
Termodinâmica
Equilíbrio de fases
Mapas de curvas residuais
Diferenças Finitas
Thermodynamics
Phase equilibria
Residual curve maps
Finite Difference
title_short Computation of residue curves maps using a simple finite difference method
title_full Computation of residue curves maps using a simple finite difference method
title_fullStr Computation of residue curves maps using a simple finite difference method
title_full_unstemmed Computation of residue curves maps using a simple finite difference method
title_sort Computation of residue curves maps using a simple finite difference method
author Silva, Josemar Pereira da
author_facet Silva, Josemar Pereira da
Vianna Neto, Márcio Ribeiro
Almeida, Gustavo Matheus
Oliveira, Éder Domingues de
author_role author
author2 Vianna Neto, Márcio Ribeiro
Almeida, Gustavo Matheus
Oliveira, Éder Domingues de
author2_role author
author
author
dc.contributor.author.fl_str_mv Silva, Josemar Pereira da
Vianna Neto, Márcio Ribeiro
Almeida, Gustavo Matheus
Oliveira, Éder Domingues de
dc.subject.por.fl_str_mv Termodinâmica
Equilíbrio de fases
Mapas de curvas residuais
Diferenças Finitas
Thermodynamics
Phase equilibria
Residual curve maps
Finite Difference
topic Termodinâmica
Equilíbrio de fases
Mapas de curvas residuais
Diferenças Finitas
Thermodynamics
Phase equilibria
Residual curve maps
Finite Difference
description The most common methodology for obtaining residue curve maps is through a system of differential equatioin, commoly solved 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.  The goal of this work is to present a new methodology for the elaboration of residual curve maps.differential equations. In this methodology, the bubble T is considered a differential equation and together with the Rayleigh equation, which is a system of differential equations that determines the residual composition of a liquid mixture to be distilled, are solved using the Finite Difference Method.  For this purpose, the new methodology will be applied to the ternary systems ethyl ether / methanol / 1-butanol and ethanol / 2-methyl 2-propanol / methylcyclohexane. The fugacity coefficient of the vapor phase was calculated using the Virial equation (truncated in the second coefficient), and the activity coefficient of the liquid phase, using the NRTL, UNIQUAC and UNIFAC models. The results showed the potential of the new methodology compared to conventional approaches.
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/11851
10.18540/jcecvl6iss5pp0770-0776
url https://periodicos.ufv.br/jcec/article/view/11851
identifier_str_mv 10.18540/jcecvl6iss5pp0770-0776
dc.language.iso.fl_str_mv por
language por
dc.relation.none.fl_str_mv https://periodicos.ufv.br/jcec/article/view/11851/6468
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); 0770-0776
The Journal of Engineering and Exact Sciences; Vol. 6 Núm. 5 (2020); 0770-0776
The Journal of Engineering and Exact Sciences; v. 6 n. 5 (2020); 0770-0776
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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