QUADRATURE ALGORITHMS FOR PHASE EQUILIBRIUM OF CONTINUOUS MIXTURES
Autor(a) principal: | |
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Data de Publicação: | 2019 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Brazilian Journal of Chemical Engineering |
Texto Completo: | http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0104-66322019000301303 |
Resumo: | Abstract Several methods for computing the Gauss-Christoffel quadrature used for the adaptive characterization of continuous mixtures were compared as to their efficiency and robustness. Two mixtures with molar fraction distribution given by truncated gamma distributions were used. We analyzed the Product-Difference, the Golub-Welsch, the Long Quotient-Modified Difference and the Chebyshev algorithms using regular and generalized moments, when applicable. The robustness and computational efficiency of changes in the distribution variable and in the orthogonal polynomial family used to calculate the generalized moments were analyzed. The methods using generalized moments proved to be more robust than those that use regular moments. Although they are computationally more expensive, this cost increase is just around 20% for the Chebyshev algorithm. The resulting adaptive characterization was employed to solve the adiabatic vapor-liquid flash of these mixtures. The results showed that eight pseudocomponents were able to well represent the properties of the equilibrium streams, showing the high accuracy of this method. |
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Brazilian Journal of Chemical Engineering |
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QUADRATURE ALGORITHMS FOR PHASE EQUILIBRIUM OF CONTINUOUS MIXTURESContinuous thermodynamicsComplex mixturesQMoMGauss-Christoffel quadraturePhase equilibriumAbstract Several methods for computing the Gauss-Christoffel quadrature used for the adaptive characterization of continuous mixtures were compared as to their efficiency and robustness. Two mixtures with molar fraction distribution given by truncated gamma distributions were used. We analyzed the Product-Difference, the Golub-Welsch, the Long Quotient-Modified Difference and the Chebyshev algorithms using regular and generalized moments, when applicable. The robustness and computational efficiency of changes in the distribution variable and in the orthogonal polynomial family used to calculate the generalized moments were analyzed. The methods using generalized moments proved to be more robust than those that use regular moments. Although they are computationally more expensive, this cost increase is just around 20% for the Chebyshev algorithm. The resulting adaptive characterization was employed to solve the adiabatic vapor-liquid flash of these mixtures. The results showed that eight pseudocomponents were able to well represent the properties of the equilibrium streams, showing the high accuracy of this method.Brazilian Society of Chemical Engineering2019-07-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0104-66322019000301303Brazilian Journal of Chemical Engineering v.36 n.3 2019reponame:Brazilian Journal of Chemical Engineeringinstname:Associação Brasileira de Engenharia Química (ABEQ)instacron:ABEQ10.1590/0104-6632.20190363s20180522info:eu-repo/semantics/openAccessChicralla,Felipe C.Lage,Paulo L. da C.Secchi,Argimiro R.eng2019-12-04T00:00:00Zoai:scielo:S0104-66322019000301303Revistahttps://www.scielo.br/j/bjce/https://old.scielo.br/oai/scielo-oai.phprgiudici@usp.br||rgiudici@usp.br1678-43830104-6632opendoar:2019-12-04T00:00Brazilian Journal of Chemical Engineering - Associação Brasileira de Engenharia Química (ABEQ)false |
dc.title.none.fl_str_mv |
QUADRATURE ALGORITHMS FOR PHASE EQUILIBRIUM OF CONTINUOUS MIXTURES |
title |
QUADRATURE ALGORITHMS FOR PHASE EQUILIBRIUM OF CONTINUOUS MIXTURES |
spellingShingle |
QUADRATURE ALGORITHMS FOR PHASE EQUILIBRIUM OF CONTINUOUS MIXTURES Chicralla,Felipe C. Continuous thermodynamics Complex mixtures QMoM Gauss-Christoffel quadrature Phase equilibrium |
title_short |
QUADRATURE ALGORITHMS FOR PHASE EQUILIBRIUM OF CONTINUOUS MIXTURES |
title_full |
QUADRATURE ALGORITHMS FOR PHASE EQUILIBRIUM OF CONTINUOUS MIXTURES |
title_fullStr |
QUADRATURE ALGORITHMS FOR PHASE EQUILIBRIUM OF CONTINUOUS MIXTURES |
title_full_unstemmed |
QUADRATURE ALGORITHMS FOR PHASE EQUILIBRIUM OF CONTINUOUS MIXTURES |
title_sort |
QUADRATURE ALGORITHMS FOR PHASE EQUILIBRIUM OF CONTINUOUS MIXTURES |
author |
Chicralla,Felipe C. |
author_facet |
Chicralla,Felipe C. Lage,Paulo L. da C. Secchi,Argimiro R. |
author_role |
author |
author2 |
Lage,Paulo L. da C. Secchi,Argimiro R. |
author2_role |
author author |
dc.contributor.author.fl_str_mv |
Chicralla,Felipe C. Lage,Paulo L. da C. Secchi,Argimiro R. |
dc.subject.por.fl_str_mv |
Continuous thermodynamics Complex mixtures QMoM Gauss-Christoffel quadrature Phase equilibrium |
topic |
Continuous thermodynamics Complex mixtures QMoM Gauss-Christoffel quadrature Phase equilibrium |
description |
Abstract Several methods for computing the Gauss-Christoffel quadrature used for the adaptive characterization of continuous mixtures were compared as to their efficiency and robustness. Two mixtures with molar fraction distribution given by truncated gamma distributions were used. We analyzed the Product-Difference, the Golub-Welsch, the Long Quotient-Modified Difference and the Chebyshev algorithms using regular and generalized moments, when applicable. The robustness and computational efficiency of changes in the distribution variable and in the orthogonal polynomial family used to calculate the generalized moments were analyzed. The methods using generalized moments proved to be more robust than those that use regular moments. Although they are computationally more expensive, this cost increase is just around 20% for the Chebyshev algorithm. The resulting adaptive characterization was employed to solve the adiabatic vapor-liquid flash of these mixtures. The results showed that eight pseudocomponents were able to well represent the properties of the equilibrium streams, showing the high accuracy of this method. |
publishDate |
2019 |
dc.date.none.fl_str_mv |
2019-07-01 |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0104-66322019000301303 |
url |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0104-66322019000301303 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
10.1590/0104-6632.20190363s20180522 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
text/html |
dc.publisher.none.fl_str_mv |
Brazilian Society of Chemical Engineering |
publisher.none.fl_str_mv |
Brazilian Society of Chemical Engineering |
dc.source.none.fl_str_mv |
Brazilian Journal of Chemical Engineering v.36 n.3 2019 reponame:Brazilian Journal of Chemical Engineering instname:Associação Brasileira de Engenharia Química (ABEQ) instacron:ABEQ |
instname_str |
Associação Brasileira de Engenharia Química (ABEQ) |
instacron_str |
ABEQ |
institution |
ABEQ |
reponame_str |
Brazilian Journal of Chemical Engineering |
collection |
Brazilian Journal of Chemical Engineering |
repository.name.fl_str_mv |
Brazilian Journal of Chemical Engineering - Associação Brasileira de Engenharia Química (ABEQ) |
repository.mail.fl_str_mv |
rgiudici@usp.br||rgiudici@usp.br |
_version_ |
1754213176705024000 |