Theoretical modelling of electrokinetic flow in microchannel networks

Autores
Berli, Claudio Luis Alberto
Año de publicación
2007
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We propose a simple preconditioning for the equations of motion of constrained mechanical systems in index three form. The scaling transformation is applied to the displacementvelocity- multiplier and to the reduced displacement-multiplier forms. The analysis of the transformed system shows that conditioning and sensitivity to perturbations become independent of the time step size, as in the case of well-behaved ordinary differential equations. The new scaling transformation is simple to implement and does not require the rewriting of the system equations as other approaches do. The theoretical analysis is confirmed by numerical examples.
Fil: Berli, Claudio Luis Alberto. 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
Microfluidics
Electrokinetic Flow
Analytical Chips
Circuit Modelling
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:11336/20901
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/20901
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Theoretical modelling of electrokinetic flow in microchannel networksBerli, Claudio Luis AlbertoMicrofluidicsElectrokinetic FlowAnalytical ChipsCircuit Modellinghttps://purl.org/becyt/ford/2.11https://purl.org/becyt/ford/2We propose a simple preconditioning for the equations of motion of constrained mechanical systems in index three form. The scaling transformation is applied to the displacementvelocity- multiplier and to the reduced displacement-multiplier forms. The analysis of the transformed system shows that conditioning and sensitivity to perturbations become independent of the time step size, as in the case of well-behaved ordinary differential equations. The new scaling transformation is simple to implement and does not require the rewriting of the system equations as other approaches do. The theoretical analysis is confirmed by numerical examples.Fil: Berli, Claudio Luis Alberto. 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; ArgentinaElsevier Science2007-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/20901Berli, Claudio Luis Alberto; Theoretical modelling of electrokinetic flow in microchannel networks; Elsevier Science; Colloids and Surfaces A: Physicochemical and Engineering Aspects; 301; 1-3; 12-2007; 271-2800927-7757CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.colsurfa.2006.12.066info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0927775706010004?via%3Dihubinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T10:07:39Zoai:ri.conicet.gov.ar:11336/20901instacron: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:34982025-09-03 10:07:39.402CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Theoretical modelling of electrokinetic flow in microchannel networks
title Theoretical modelling of electrokinetic flow in microchannel networks
spellingShingle Theoretical modelling of electrokinetic flow in microchannel networks
Berli, Claudio Luis Alberto
Microfluidics
Electrokinetic Flow
Analytical Chips
Circuit Modelling
title_short Theoretical modelling of electrokinetic flow in microchannel networks
title_full Theoretical modelling of electrokinetic flow in microchannel networks
title_fullStr Theoretical modelling of electrokinetic flow in microchannel networks
title_full_unstemmed Theoretical modelling of electrokinetic flow in microchannel networks
title_sort Theoretical modelling of electrokinetic flow in microchannel networks
dc.creator.none.fl_str_mv Berli, Claudio Luis Alberto
author Berli, Claudio Luis Alberto
author_facet Berli, Claudio Luis Alberto
author_role author
dc.subject.none.fl_str_mv Microfluidics
Electrokinetic Flow
Analytical Chips
Circuit Modelling
topic Microfluidics
Electrokinetic Flow
Analytical Chips
Circuit Modelling
purl_subject.fl_str_mv https://purl.org/becyt/ford/2.11
https://purl.org/becyt/ford/2
dc.description.none.fl_txt_mv We propose a simple preconditioning for the equations of motion of constrained mechanical systems in index three form. The scaling transformation is applied to the displacementvelocity- multiplier and to the reduced displacement-multiplier forms. The analysis of the transformed system shows that conditioning and sensitivity to perturbations become independent of the time step size, as in the case of well-behaved ordinary differential equations. The new scaling transformation is simple to implement and does not require the rewriting of the system equations as other approaches do. The theoretical analysis is confirmed by numerical examples.
Fil: Berli, Claudio Luis Alberto. 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 We propose a simple preconditioning for the equations of motion of constrained mechanical systems in index three form. The scaling transformation is applied to the displacementvelocity- multiplier and to the reduced displacement-multiplier forms. The analysis of the transformed system shows that conditioning and sensitivity to perturbations become independent of the time step size, as in the case of well-behaved ordinary differential equations. The new scaling transformation is simple to implement and does not require the rewriting of the system equations as other approaches do. The theoretical analysis is confirmed by numerical examples.
publishDate 2007
dc.date.none.fl_str_mv 2007-12
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/11336/20901
Berli, Claudio Luis Alberto; Theoretical modelling of electrokinetic flow in microchannel networks; Elsevier Science; Colloids and Surfaces A: Physicochemical and Engineering Aspects; 301; 1-3; 12-2007; 271-280
0927-7757
CONICET Digital
CONICET
url http://hdl.handle.net/11336/20901
identifier_str_mv Berli, Claudio Luis Alberto; Theoretical modelling of electrokinetic flow in microchannel networks; Elsevier Science; Colloids and Surfaces A: Physicochemical and Engineering Aspects; 301; 1-3; 12-2007; 271-280
0927-7757
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.colsurfa.2006.12.066
info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0927775706010004?via%3Dihub
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
dc.publisher.none.fl_str_mv Elsevier Science
publisher.none.fl_str_mv Elsevier Science
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_ 1842270011365785600
score 13.13397

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