Economic criteria in the design of cascades of CSTR’s for the performance of Enzyme -c at a1 yzed reactions
Autor(a) principal: | |
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Data de Publicação: | 1997 |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | http://hdl.handle.net/10400.14/6701 |
Resumo: | The mass balances on substrate in each unit of a series of CSTRs performing an enzyme-catalyzed reaction described by Michaelis-Menten kinetics (with parameter K,,,)a re written and the necessary and sufficient condition that must be satisfied by the intermediate concentrations in order to obtain a minimum overall capital investment is found on the assumption that the cost of each reactor unit scales up on its capacity according to a fractional factor exponential rule (with parameter n). The asymptotic situations of pseudo-zero order and pseudo-first order behavior are explored. The ratio between consecutive concentrations leading to a minimum overall capital investment decreases as K,,, decreases at a rate that is slower for higher n, and tends to unity as the pseudo-first order situation is approached. If fractional values of n are considered, local minima of the capital investment associated with the overall reactor cascade exist only in certain ranges of substrate conversion; below the lower limits of such ranges, the number of reactor units should actually be decreased. A graphical procedure aimed at obtaining the intermediate optimal concentrations is presented. |
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Economic criteria in the design of cascades of CSTR’s for the performance of Enzyme -c at a1 yzed reactionsCapital investmentExponential factor ruleMichaelis-Menten reactionsOptimizationThe mass balances on substrate in each unit of a series of CSTRs performing an enzyme-catalyzed reaction described by Michaelis-Menten kinetics (with parameter K,,,)a re written and the necessary and sufficient condition that must be satisfied by the intermediate concentrations in order to obtain a minimum overall capital investment is found on the assumption that the cost of each reactor unit scales up on its capacity according to a fractional factor exponential rule (with parameter n). The asymptotic situations of pseudo-zero order and pseudo-first order behavior are explored. The ratio between consecutive concentrations leading to a minimum overall capital investment decreases as K,,, decreases at a rate that is slower for higher n, and tends to unity as the pseudo-first order situation is approached. If fractional values of n are considered, local minima of the capital investment associated with the overall reactor cascade exist only in certain ranges of substrate conversion; below the lower limits of such ranges, the number of reactor units should actually be decreased. A graphical procedure aimed at obtaining the intermediate optimal concentrations is presented.Chemical Institute of CanadaVeritati - Repositório Institucional da Universidade Católica PortuguesaMalcata, F. Xavier2011-10-21T14:54:52Z19971997-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.14/6701engMALCATA, F. Xavier - Economic Criteria in the Design of Cascades of CSTR’s for the Performance of Enzyme -c at a1 yzed Reactions. The Canadian Journal of Chemical Engineering. ISSN 1939-019X. Vol. 75, n.º 5 (1997), p. 984-98910.1002/cjce.5450750520info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-07-12T17:10:56Zoai:repositorio.ucp.pt:10400.14/6701Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T18:06:04.755114Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse |
dc.title.none.fl_str_mv |
Economic criteria in the design of cascades of CSTR’s for the performance of Enzyme -c at a1 yzed reactions |
title |
Economic criteria in the design of cascades of CSTR’s for the performance of Enzyme -c at a1 yzed reactions |
spellingShingle |
Economic criteria in the design of cascades of CSTR’s for the performance of Enzyme -c at a1 yzed reactions Malcata, F. Xavier Capital investment Exponential factor rule Michaelis-Menten reactions Optimization |
title_short |
Economic criteria in the design of cascades of CSTR’s for the performance of Enzyme -c at a1 yzed reactions |
title_full |
Economic criteria in the design of cascades of CSTR’s for the performance of Enzyme -c at a1 yzed reactions |
title_fullStr |
Economic criteria in the design of cascades of CSTR’s for the performance of Enzyme -c at a1 yzed reactions |
title_full_unstemmed |
Economic criteria in the design of cascades of CSTR’s for the performance of Enzyme -c at a1 yzed reactions |
title_sort |
Economic criteria in the design of cascades of CSTR’s for the performance of Enzyme -c at a1 yzed reactions |
author |
Malcata, F. Xavier |
author_facet |
Malcata, F. Xavier |
author_role |
author |
dc.contributor.none.fl_str_mv |
Veritati - Repositório Institucional da Universidade Católica Portuguesa |
dc.contributor.author.fl_str_mv |
Malcata, F. Xavier |
dc.subject.por.fl_str_mv |
Capital investment Exponential factor rule Michaelis-Menten reactions Optimization |
topic |
Capital investment Exponential factor rule Michaelis-Menten reactions Optimization |
description |
The mass balances on substrate in each unit of a series of CSTRs performing an enzyme-catalyzed reaction described by Michaelis-Menten kinetics (with parameter K,,,)a re written and the necessary and sufficient condition that must be satisfied by the intermediate concentrations in order to obtain a minimum overall capital investment is found on the assumption that the cost of each reactor unit scales up on its capacity according to a fractional factor exponential rule (with parameter n). The asymptotic situations of pseudo-zero order and pseudo-first order behavior are explored. The ratio between consecutive concentrations leading to a minimum overall capital investment decreases as K,,, decreases at a rate that is slower for higher n, and tends to unity as the pseudo-first order situation is approached. If fractional values of n are considered, local minima of the capital investment associated with the overall reactor cascade exist only in certain ranges of substrate conversion; below the lower limits of such ranges, the number of reactor units should actually be decreased. A graphical procedure aimed at obtaining the intermediate optimal concentrations is presented. |
publishDate |
1997 |
dc.date.none.fl_str_mv |
1997 1997-01-01T00:00:00Z 2011-10-21T14:54:52Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://hdl.handle.net/10400.14/6701 |
url |
http://hdl.handle.net/10400.14/6701 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
MALCATA, F. Xavier - Economic Criteria in the Design of Cascades of CSTR’s for the Performance of Enzyme -c at a1 yzed Reactions. The Canadian Journal of Chemical Engineering. ISSN 1939-019X. Vol. 75, n.º 5 (1997), p. 984-989 10.1002/cjce.5450750520 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.publisher.none.fl_str_mv |
Chemical Institute of Canada |
publisher.none.fl_str_mv |
Chemical Institute of Canada |
dc.source.none.fl_str_mv |
reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação instacron:RCAAP |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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RCAAP |
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RCAAP |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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1799131726449999872 |