QUADRATURE ALGORITHMS FOR PHASE EQUILIBRIUM OF CONTINUOUS MIXTURES

Detalhes bibliográficos
Autor(a) principal: Chicralla,Felipe C.
Data de Publicação: 2019
Outros Autores: Lage,Paulo L. da C., Secchi,Argimiro R.
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.
id ABEQ-1_070e9a20a23c9bbcba04bab48b1ac0f5
oai_identifier_str oai:scielo:S0104-66322019000301303
network_acronym_str ABEQ-1
network_name_str Brazilian Journal of Chemical Engineering
repository_id_str
spelling 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