Estimation of the Molecular Weight Distribution of Linear Homopolymer Blends from Linear Viscoelasticity for Bimodal and High Polydisperse Samples

Autores
Peirotti, Marta Beatriz; Deiber, Julio Alcides
Año de publicación
2003
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
This work is concerned with the approximate solution of the problem generated by the integral of first kind relating the shear relaxation modulus of entangled, linear and flexible homopolymer blends and the molecular weight distribution (MWD). Procedures are proposed to estimate the density distribution function (DDF) of the MWD from numerical solutions of the theoretical model composed by the double reptation mixing rule and a law for the relaxation time of chains in polydisperse matrixes. One procedure uses the expansion of the DDF through orthogonal polynomial functions. This expansion is formulated for two cases: a) Hermite polynomials associated with the normal-DDF and b) Laguerre polynomials associated with the gamma-DDF. The other procedure uses the mean value theorem of continuum functions, which turns out the integral problem into a differential form. Calculations are carried out with dynamic rheometric data of linear viscoelasticity for samples of polydimethylsiloxane, polypropylene and polybutadiene. High values of polydispersity are considered. The predictions of the DDF through these procedures compare well with experimental data of size exclusion chromatography (SEC).
Fil: Peirotti, Marta Beatriz. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Desarrollo Tecnológico para la Industria Química. Universidad Nacional del Litoral. Instituto de Desarrollo Tecnológico para la Industria Química; Argentina
Fil: Deiber, Julio Alcides. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Desarrollo Tecnológico para la Industria Química. Universidad Nacional del Litoral. Instituto de Desarrollo Tecnológico para la Industria Química; Argentina
Materia
Bimodal Molecular Weightdistribution
High Polydipersity
Hermite And Laguerre Series
Double Reptation Model
Linear Flexible Homopolymer Blends
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:11336/27390
Acceder
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network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Estimation of the Molecular Weight Distribution of Linear Homopolymer Blends from Linear Viscoelasticity for Bimodal and High Polydisperse SamplesPeirotti, Marta BeatrizDeiber, Julio AlcidesBimodal Molecular WeightdistributionHigh PolydipersityHermite And Laguerre SeriesDouble Reptation ModelLinear Flexible Homopolymer Blendshttps://purl.org/becyt/ford/2.4https://purl.org/becyt/ford/2This work is concerned with the approximate solution of the problem generated by the integral of first kind relating the shear relaxation modulus of entangled, linear and flexible homopolymer blends and the molecular weight distribution (MWD). Procedures are proposed to estimate the density distribution function (DDF) of the MWD from numerical solutions of the theoretical model composed by the double reptation mixing rule and a law for the relaxation time of chains in polydisperse matrixes. One procedure uses the expansion of the DDF through orthogonal polynomial functions. This expansion is formulated for two cases: a) Hermite polynomials associated with the normal-DDF and b) Laguerre polynomials associated with the gamma-DDF. The other procedure uses the mean value theorem of continuum functions, which turns out the integral problem into a differential form. Calculations are carried out with dynamic rheometric data of linear viscoelasticity for samples of polydimethylsiloxane, polypropylene and polybutadiene. High values of polydispersity are considered. The predictions of the DDF through these procedures compare well with experimental data of size exclusion chromatography (SEC).Fil: Peirotti, Marta Beatriz. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Desarrollo Tecnológico para la Industria Química. Universidad Nacional del Litoral. Instituto de Desarrollo Tecnológico para la Industria Química; ArgentinaFil: Deiber, Julio Alcides. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Desarrollo Tecnológico para la Industria Química. Universidad Nacional del Litoral. Instituto de Desarrollo Tecnológico para la Industria Química; ArgentinaPlanta Piloto de Ingeniería Química2003-11info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/27390Peirotti, Marta Beatriz; Deiber, Julio Alcides; Estimation of the Molecular Weight Distribution of Linear Homopolymer Blends from Linear Viscoelasticity for Bimodal and High Polydisperse Samples; Planta Piloto de Ingeniería Química; Latin American Applied Research; 33; 2; 11-2003; 185-1940327-07931851-8796CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://www.laar.uns.edu.ar/indexes/artic_v3302/pag185.pdfinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T11:19:37Zoai:ri.conicet.gov.ar:11336/27390instacron: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:34982025-10-22 11:19:37.725CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Estimation of the Molecular Weight Distribution of Linear Homopolymer Blends from Linear Viscoelasticity for Bimodal and High Polydisperse Samples
title Estimation of the Molecular Weight Distribution of Linear Homopolymer Blends from Linear Viscoelasticity for Bimodal and High Polydisperse Samples
spellingShingle Estimation of the Molecular Weight Distribution of Linear Homopolymer Blends from Linear Viscoelasticity for Bimodal and High Polydisperse Samples
Peirotti, Marta Beatriz
Bimodal Molecular Weightdistribution
High Polydipersity
Hermite And Laguerre Series
Double Reptation Model
Linear Flexible Homopolymer Blends
title_short Estimation of the Molecular Weight Distribution of Linear Homopolymer Blends from Linear Viscoelasticity for Bimodal and High Polydisperse Samples
title_full Estimation of the Molecular Weight Distribution of Linear Homopolymer Blends from Linear Viscoelasticity for Bimodal and High Polydisperse Samples
title_fullStr Estimation of the Molecular Weight Distribution of Linear Homopolymer Blends from Linear Viscoelasticity for Bimodal and High Polydisperse Samples
title_full_unstemmed Estimation of the Molecular Weight Distribution of Linear Homopolymer Blends from Linear Viscoelasticity for Bimodal and High Polydisperse Samples
title_sort Estimation of the Molecular Weight Distribution of Linear Homopolymer Blends from Linear Viscoelasticity for Bimodal and High Polydisperse Samples
dc.creator.none.fl_str_mv Peirotti, Marta Beatriz
Deiber, Julio Alcides
author Peirotti, Marta Beatriz
author_facet Peirotti, Marta Beatriz
Deiber, Julio Alcides
author_role author
author2 Deiber, Julio Alcides
author2_role author
dc.subject.none.fl_str_mv Bimodal Molecular Weightdistribution
High Polydipersity
Hermite And Laguerre Series
Double Reptation Model
Linear Flexible Homopolymer Blends
topic Bimodal Molecular Weightdistribution
High Polydipersity
Hermite And Laguerre Series
Double Reptation Model
Linear Flexible Homopolymer Blends
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 work is concerned with the approximate solution of the problem generated by the integral of first kind relating the shear relaxation modulus of entangled, linear and flexible homopolymer blends and the molecular weight distribution (MWD). Procedures are proposed to estimate the density distribution function (DDF) of the MWD from numerical solutions of the theoretical model composed by the double reptation mixing rule and a law for the relaxation time of chains in polydisperse matrixes. One procedure uses the expansion of the DDF through orthogonal polynomial functions. This expansion is formulated for two cases: a) Hermite polynomials associated with the normal-DDF and b) Laguerre polynomials associated with the gamma-DDF. The other procedure uses the mean value theorem of continuum functions, which turns out the integral problem into a differential form. Calculations are carried out with dynamic rheometric data of linear viscoelasticity for samples of polydimethylsiloxane, polypropylene and polybutadiene. High values of polydispersity are considered. The predictions of the DDF through these procedures compare well with experimental data of size exclusion chromatography (SEC).
Fil: Peirotti, Marta Beatriz. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Desarrollo Tecnológico para la Industria Química. Universidad Nacional del Litoral. Instituto de Desarrollo Tecnológico para la Industria Química; Argentina
Fil: Deiber, Julio Alcides. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Desarrollo Tecnológico para la Industria Química. Universidad Nacional del Litoral. Instituto de Desarrollo Tecnológico para la Industria Química; Argentina
description This work is concerned with the approximate solution of the problem generated by the integral of first kind relating the shear relaxation modulus of entangled, linear and flexible homopolymer blends and the molecular weight distribution (MWD). Procedures are proposed to estimate the density distribution function (DDF) of the MWD from numerical solutions of the theoretical model composed by the double reptation mixing rule and a law for the relaxation time of chains in polydisperse matrixes. One procedure uses the expansion of the DDF through orthogonal polynomial functions. This expansion is formulated for two cases: a) Hermite polynomials associated with the normal-DDF and b) Laguerre polynomials associated with the gamma-DDF. The other procedure uses the mean value theorem of continuum functions, which turns out the integral problem into a differential form. Calculations are carried out with dynamic rheometric data of linear viscoelasticity for samples of polydimethylsiloxane, polypropylene and polybutadiene. High values of polydispersity are considered. The predictions of the DDF through these procedures compare well with experimental data of size exclusion chromatography (SEC).
publishDate 2003
dc.date.none.fl_str_mv 2003-11
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/11336/27390
Peirotti, Marta Beatriz; Deiber, Julio Alcides; Estimation of the Molecular Weight Distribution of Linear Homopolymer Blends from Linear Viscoelasticity for Bimodal and High Polydisperse Samples; Planta Piloto de Ingeniería Química; Latin American Applied Research; 33; 2; 11-2003; 185-194
0327-0793
1851-8796
CONICET Digital
CONICET
url http://hdl.handle.net/11336/27390
identifier_str_mv Peirotti, Marta Beatriz; Deiber, Julio Alcides; Estimation of the Molecular Weight Distribution of Linear Homopolymer Blends from Linear Viscoelasticity for Bimodal and High Polydisperse Samples; Planta Piloto de Ingeniería Química; Latin American Applied Research; 33; 2; 11-2003; 185-194
0327-0793
1851-8796
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://www.laar.uns.edu.ar/indexes/artic_v3302/pag185.pdf
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
dc.publisher.none.fl_str_mv Planta Piloto de Ingeniería Química
publisher.none.fl_str_mv Planta Piloto de Ingeniería Química
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
_version_ 1846781676185714688
score 12.982451

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