Solution of the Stefan Problem: Silver Electrodeposition under Mass Transfer Control : The Transition from Diffusion to Advection Regime

Autores
Pasquale, Miguel Ángel; Marchiano, Susana Lucy; Vicente, José Luis; Arvia, Alejandro Jorge
Año de publicación
2004
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
An analytical solution of Fick’s diffusion equation for the formation of a 2D solid-phase involving a growing front (Stefan problem) position changing at a constant linear velocity is proposed. This solution comprises a first diffusion term that includes an exponential correction factor, and a second constant advection term that depends on the front velocity, and it predicts a kinetic transition from a diffusion to an advection-dominated mass transfer control in going from t → 0 to → f ∞. The validity of the analytical solution is tested using potentiostatic cathodic current transient data for silver electrodeposition in a quasi-2D rectangular cell with an initially plane plate cathode. Theoretical and experimental data fulfill a dimensionless correlation after experimental data are properly corrected for the effective cathode area.
Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas
Materia
Ciencias Exactas
Química
Diffusion
Electrodes
Electrodeposition
Silver
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/127446

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network_name_str SEDICI (UNLP)
spelling Solution of the Stefan Problem: Silver Electrodeposition under Mass Transfer Control : The Transition from Diffusion to Advection RegimePasquale, Miguel ÁngelMarchiano, Susana LucyVicente, José LuisArvia, Alejandro JorgeCiencias ExactasQuímicaDiffusionElectrodesElectrodepositionSilverAn analytical solution of Fick’s diffusion equation for the formation of a 2D solid-phase involving a growing front (Stefan problem) position changing at a constant linear velocity is proposed. This solution comprises a first diffusion term that includes an exponential correction factor, and a second constant advection term that depends on the front velocity, and it predicts a kinetic transition from a diffusion to an advection-dominated mass transfer control in going from t → 0 to → f ∞. The validity of the analytical solution is tested using potentiostatic cathodic current transient data for silver electrodeposition in a quasi-2D rectangular cell with an initially plane plate cathode. Theoretical and experimental data fulfill a dimensionless correlation after experimental data are properly corrected for the effective cathode area.Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas2004info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf13315-13319http://sedici.unlp.edu.ar/handle/10915/127446enginfo:eu-repo/semantics/altIdentifier/url/https://pubs.acs.org/doi/full/10.1021/jp0480549info:eu-repo/semantics/altIdentifier/issn/1520-6106info:eu-repo/semantics/altIdentifier/issn/1520-5207info:eu-repo/semantics/altIdentifier/doi/10.1021/jp0480549info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/4.0/Creative Commons Attribution 4.0 International (CC BY 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-03T11:02:53Zoai:sedici.unlp.edu.ar:10915/127446Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-03 11:02:53.654SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Solution of the Stefan Problem: Silver Electrodeposition under Mass Transfer Control : The Transition from Diffusion to Advection Regime
title Solution of the Stefan Problem: Silver Electrodeposition under Mass Transfer Control : The Transition from Diffusion to Advection Regime
spellingShingle Solution of the Stefan Problem: Silver Electrodeposition under Mass Transfer Control : The Transition from Diffusion to Advection Regime
Pasquale, Miguel Ángel
Ciencias Exactas
Química
Diffusion
Electrodes
Electrodeposition
Silver
title_short Solution of the Stefan Problem: Silver Electrodeposition under Mass Transfer Control : The Transition from Diffusion to Advection Regime
title_full Solution of the Stefan Problem: Silver Electrodeposition under Mass Transfer Control : The Transition from Diffusion to Advection Regime
title_fullStr Solution of the Stefan Problem: Silver Electrodeposition under Mass Transfer Control : The Transition from Diffusion to Advection Regime
title_full_unstemmed Solution of the Stefan Problem: Silver Electrodeposition under Mass Transfer Control : The Transition from Diffusion to Advection Regime
title_sort Solution of the Stefan Problem: Silver Electrodeposition under Mass Transfer Control : The Transition from Diffusion to Advection Regime
dc.creator.none.fl_str_mv Pasquale, Miguel Ángel
Marchiano, Susana Lucy
Vicente, José Luis
Arvia, Alejandro Jorge
author Pasquale, Miguel Ángel
author_facet Pasquale, Miguel Ángel
Marchiano, Susana Lucy
Vicente, José Luis
Arvia, Alejandro Jorge
author_role author
author2 Marchiano, Susana Lucy
Vicente, José Luis
Arvia, Alejandro Jorge
author2_role author
author
author
dc.subject.none.fl_str_mv Ciencias Exactas
Química
Diffusion
Electrodes
Electrodeposition
Silver
topic Ciencias Exactas
Química
Diffusion
Electrodes
Electrodeposition
Silver
dc.description.none.fl_txt_mv An analytical solution of Fick’s diffusion equation for the formation of a 2D solid-phase involving a growing front (Stefan problem) position changing at a constant linear velocity is proposed. This solution comprises a first diffusion term that includes an exponential correction factor, and a second constant advection term that depends on the front velocity, and it predicts a kinetic transition from a diffusion to an advection-dominated mass transfer control in going from t → 0 to → f ∞. The validity of the analytical solution is tested using potentiostatic cathodic current transient data for silver electrodeposition in a quasi-2D rectangular cell with an initially plane plate cathode. Theoretical and experimental data fulfill a dimensionless correlation after experimental data are properly corrected for the effective cathode area.
Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas
description An analytical solution of Fick’s diffusion equation for the formation of a 2D solid-phase involving a growing front (Stefan problem) position changing at a constant linear velocity is proposed. This solution comprises a first diffusion term that includes an exponential correction factor, and a second constant advection term that depends on the front velocity, and it predicts a kinetic transition from a diffusion to an advection-dominated mass transfer control in going from t → 0 to → f ∞. The validity of the analytical solution is tested using potentiostatic cathodic current transient data for silver electrodeposition in a quasi-2D rectangular cell with an initially plane plate cathode. Theoretical and experimental data fulfill a dimensionless correlation after experimental data are properly corrected for the effective cathode area.
publishDate 2004
dc.date.none.fl_str_mv 2004
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Articulo
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://sedici.unlp.edu.ar/handle/10915/127446
url http://sedici.unlp.edu.ar/handle/10915/127446
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://pubs.acs.org/doi/full/10.1021/jp0480549
info:eu-repo/semantics/altIdentifier/issn/1520-6106
info:eu-repo/semantics/altIdentifier/issn/1520-5207
info:eu-repo/semantics/altIdentifier/doi/10.1021/jp0480549
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by/4.0/
Creative Commons Attribution 4.0 International (CC BY 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by/4.0/
Creative Commons Attribution 4.0 International (CC BY 4.0)
dc.format.none.fl_str_mv application/pdf
13315-13319
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
instname:Universidad Nacional de La Plata
instacron:UNLP
reponame_str SEDICI (UNLP)
collection SEDICI (UNLP)
instname_str Universidad Nacional de La Plata
instacron_str UNLP
institution UNLP
repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
repository.mail.fl_str_mv alira@sedici.unlp.edu.ar
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