Population Balance Discretization for Growth, Attrition, Aggregation, Breakage and Nucleation

Autores
Bertin, Diego Esteban; Cotabarren, Ivana María; Piña, Juliana; Bucala, Veronica
Año de publicación
2015
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
This paper presents a new discretization method to solve the population balance equation (PBE) for batch and unsteady/steady-state continuous perfectly-mixed systems. The numerical technique is valid for any size change mechanism (i.e., growth, aggregation, attrition, breakage and nucleation occurring alone or in combination) and different discretization grids. Special care is taken to numerically handle the growth and attrition terms, for which a new representation of the number density function within each size class is proposed. This method allows describing the number particles fluxes through the classes interfaces accurately by preserving two sectional population moments. This is accomplished by defining a representative size for each class, which is updated as particles appear and disappear into/from each class. The accuracy of the proposed numerical method is proved by comparing the numerical particle size distributions with available or here developed analytical PBE solutions for different size change mechanisms and particle size dependent kinetics.
Fil: Bertin, Diego Esteban. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Planta Piloto de Ingeniería Química. Universidad Nacional del Sur. Planta Piloto de Ingeniería Química; Argentina
Fil: Cotabarren, Ivana María. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Planta Piloto de Ingeniería Química. Universidad Nacional del Sur. Planta Piloto de Ingeniería Química; Argentina
Fil: Piña, Juliana. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Planta Piloto de Ingeniería Química. Universidad Nacional del Sur. Planta Piloto de Ingeniería Química; Argentina
Fil: Bucala, Veronica. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Planta Piloto de Ingeniería Química. Universidad Nacional del Sur. Planta Piloto de Ingeniería Química; Argentina
Materia
Population Balance Equation
Particles Size Distribution
Discretization Method
Size Change Mechanisms
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/26167
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Population Balance Discretization for Growth, Attrition, Aggregation, Breakage and NucleationBertin, Diego EstebanCotabarren, Ivana MaríaPiña, JulianaBucala, VeronicaPopulation Balance EquationParticles Size DistributionDiscretization MethodSize Change Mechanismshttps://purl.org/becyt/ford/2.4https://purl.org/becyt/ford/2This paper presents a new discretization method to solve the population balance equation (PBE) for batch and unsteady/steady-state continuous perfectly-mixed systems. The numerical technique is valid for any size change mechanism (i.e., growth, aggregation, attrition, breakage and nucleation occurring alone or in combination) and different discretization grids. Special care is taken to numerically handle the growth and attrition terms, for which a new representation of the number density function within each size class is proposed. This method allows describing the number particles fluxes through the classes interfaces accurately by preserving two sectional population moments. This is accomplished by defining a representative size for each class, which is updated as particles appear and disappear into/from each class. The accuracy of the proposed numerical method is proved by comparing the numerical particle size distributions with available or here developed analytical PBE solutions for different size change mechanisms and particle size dependent kinetics.Fil: Bertin, Diego Esteban. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Planta Piloto de Ingeniería Química. Universidad Nacional del Sur. Planta Piloto de Ingeniería Química; ArgentinaFil: Cotabarren, Ivana María. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Planta Piloto de Ingeniería Química. Universidad Nacional del Sur. Planta Piloto de Ingeniería Química; ArgentinaFil: Piña, Juliana. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Planta Piloto de Ingeniería Química. Universidad Nacional del Sur. Planta Piloto de Ingeniería Química; ArgentinaFil: Bucala, Veronica. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Planta Piloto de Ingeniería Química. Universidad Nacional del Sur. Planta Piloto de Ingeniería Química; ArgentinaElsevier2015-08-28info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfapplication/pdfapplication/pdfapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/26167Bertin, Diego Esteban; Cotabarren, Ivana María; Piña, Juliana; Bucala, Veronica; Population Balance Discretization for Growth, Attrition, Aggregation, Breakage and Nucleation; Elsevier; Computers and Chemical Engineering; 84; 28-8-2015; 132-1500098-1354CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.compchemeng.2015.08.011info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0098135415002720info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-11-26T08:50:49Zoai:ri.conicet.gov.ar:11336/26167instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-11-26 08:50:50.088CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Population Balance Discretization for Growth, Attrition, Aggregation, Breakage and Nucleation
title Population Balance Discretization for Growth, Attrition, Aggregation, Breakage and Nucleation
spellingShingle Population Balance Discretization for Growth, Attrition, Aggregation, Breakage and Nucleation
Bertin, Diego Esteban
Population Balance Equation
Particles Size Distribution
Discretization Method
Size Change Mechanisms
title_short Population Balance Discretization for Growth, Attrition, Aggregation, Breakage and Nucleation
title_full Population Balance Discretization for Growth, Attrition, Aggregation, Breakage and Nucleation
title_fullStr Population Balance Discretization for Growth, Attrition, Aggregation, Breakage and Nucleation
title_full_unstemmed Population Balance Discretization for Growth, Attrition, Aggregation, Breakage and Nucleation
title_sort Population Balance Discretization for Growth, Attrition, Aggregation, Breakage and Nucleation
dc.creator.none.fl_str_mv Bertin, Diego Esteban
Cotabarren, Ivana María
Piña, Juliana
Bucala, Veronica
author Bertin, Diego Esteban
author_facet Bertin, Diego Esteban
Cotabarren, Ivana María
Piña, Juliana
Bucala, Veronica
author_role author
author2 Cotabarren, Ivana María
Piña, Juliana
Bucala, Veronica
author2_role author
author
author
dc.subject.none.fl_str_mv Population Balance Equation
Particles Size Distribution
Discretization Method
Size Change Mechanisms
topic Population Balance Equation
Particles Size Distribution
Discretization Method
Size Change Mechanisms
purl_subject.fl_str_mv https://purl.org/becyt/ford/2.4
https://purl.org/becyt/ford/2
dc.description.none.fl_txt_mv This paper presents a new discretization method to solve the population balance equation (PBE) for batch and unsteady/steady-state continuous perfectly-mixed systems. The numerical technique is valid for any size change mechanism (i.e., growth, aggregation, attrition, breakage and nucleation occurring alone or in combination) and different discretization grids. Special care is taken to numerically handle the growth and attrition terms, for which a new representation of the number density function within each size class is proposed. This method allows describing the number particles fluxes through the classes interfaces accurately by preserving two sectional population moments. This is accomplished by defining a representative size for each class, which is updated as particles appear and disappear into/from each class. The accuracy of the proposed numerical method is proved by comparing the numerical particle size distributions with available or here developed analytical PBE solutions for different size change mechanisms and particle size dependent kinetics.
Fil: Bertin, Diego Esteban. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Planta Piloto de Ingeniería Química. Universidad Nacional del Sur. Planta Piloto de Ingeniería Química; Argentina
Fil: Cotabarren, Ivana María. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Planta Piloto de Ingeniería Química. Universidad Nacional del Sur. Planta Piloto de Ingeniería Química; Argentina
Fil: Piña, Juliana. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Planta Piloto de Ingeniería Química. Universidad Nacional del Sur. Planta Piloto de Ingeniería Química; Argentina
Fil: Bucala, Veronica. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Planta Piloto de Ingeniería Química. Universidad Nacional del Sur. Planta Piloto de Ingeniería Química; Argentina
description This paper presents a new discretization method to solve the population balance equation (PBE) for batch and unsteady/steady-state continuous perfectly-mixed systems. The numerical technique is valid for any size change mechanism (i.e., growth, aggregation, attrition, breakage and nucleation occurring alone or in combination) and different discretization grids. Special care is taken to numerically handle the growth and attrition terms, for which a new representation of the number density function within each size class is proposed. This method allows describing the number particles fluxes through the classes interfaces accurately by preserving two sectional population moments. This is accomplished by defining a representative size for each class, which is updated as particles appear and disappear into/from each class. The accuracy of the proposed numerical method is proved by comparing the numerical particle size distributions with available or here developed analytical PBE solutions for different size change mechanisms and particle size dependent kinetics.
publishDate 2015
dc.date.none.fl_str_mv 2015-08-28
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/26167
Bertin, Diego Esteban; Cotabarren, Ivana María; Piña, Juliana; Bucala, Veronica; Population Balance Discretization for Growth, Attrition, Aggregation, Breakage and Nucleation; Elsevier; Computers and Chemical Engineering; 84; 28-8-2015; 132-150
0098-1354
CONICET Digital
CONICET
url http://hdl.handle.net/11336/26167
identifier_str_mv Bertin, Diego Esteban; Cotabarren, Ivana María; Piña, Juliana; Bucala, Veronica; Population Balance Discretization for Growth, Attrition, Aggregation, Breakage and Nucleation; Elsevier; Computers and Chemical Engineering; 84; 28-8-2015; 132-150
0098-1354
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1016/j.compchemeng.2015.08.011
info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0098135415002720
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
application/pdf
application/pdf
application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.011256

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