Computation of residue curves maps using a simple finite difference method
Autor(a) principal: | |
---|---|
Data de Publicação: | 2020 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | por |
Título da fonte: | The Journal of Engineering and Exact Sciences |
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. |
id |
UFV-6_ea0b58a9a2532052e0e75f621dca67db |
---|---|
oai_identifier_str |
oai:ojs.periodicos.ufv.br:article/11851 |
network_acronym_str |
UFV-6 |
network_name_str |
The Journal of Engineering and Exact Sciences |
repository_id_str |
|
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:The Journal of Engineering and Exact Sciencesinstname: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/oai2527-10752527-1075opendoar:2022-06-03T11:33:23The Journal of Engineering and Exact Sciences - 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:The Journal of Engineering and Exact Sciences instname:Universidade Federal de Viçosa (UFV) instacron:UFV |
instname_str |
Universidade Federal de Viçosa (UFV) |
instacron_str |
UFV |
institution |
UFV |
reponame_str |
The Journal of Engineering and Exact Sciences |
collection |
The Journal of Engineering and Exact Sciences |
repository.name.fl_str_mv |
The Journal of Engineering and Exact Sciences - Universidade Federal de Viçosa (UFV) |
repository.mail.fl_str_mv |
|
_version_ |
1808845246106173440 |