Solving the Stefan problem for a solid phase growth on plane plate and spherical surfaces and testing of theoretical equations

Autores
Pasquale, Miguel Ángel; Marchiano, Susana Lucy; Vicente, José Luis; Arvia, Alejandro Jorge
Año de publicación
2006
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Solutions of the Stefan problem in the 2D space considering a moving boundary of a solid deposit growing under mass transfer control on either plane plate or spherical solid substrates are reported. In the former case, the displacement of the growth front at the plane plate occurs perpendicularly to the substrate, whereas for the latter it shifts radially. For both substrates, in the absence of convection and surface roughness effects, the phase growth kinetics is determined by diffusion and advection, the latter being due to the linear displacement of the growth front with time. For both geometric arrangements the theory predicts two limiting kinetic situations, namely a diffusion control when the time and/or the radius of the substrate approach zero, and an advection control for the reverse conditions. For the spherical substrate, when its radius tends to infinity, the kinetics of the process approaches that found at the plane plate substrate. Theoretical potentiostatic current density transients are tested utilising growth pattern data for the formation of 2D silver dense branching electrodeposits on a plane plate cathode in a quasi-2D cell, and silver electrodeposits on spherical cathodes employing a high viscosity plating solutions.
Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas
Materia
Ciencias Exactas
Química
Stefan problem
Diffusion–advection
Plane plate
Spherical electrode
Silver electrodeposition
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:10915/126605

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network_name_str SEDICI (UNLP)
spelling Solving the Stefan problem for a solid phase growth on plane plate and spherical surfaces and testing of theoretical equationsPasquale, Miguel ÁngelMarchiano, Susana LucyVicente, José LuisArvia, Alejandro JorgeCiencias ExactasQuímicaStefan problemDiffusion–advectionPlane plateSpherical electrodeSilver electrodepositionSolutions of the Stefan problem in the 2D space considering a moving boundary of a solid deposit growing under mass transfer control on either plane plate or spherical solid substrates are reported. In the former case, the displacement of the growth front at the plane plate occurs perpendicularly to the substrate, whereas for the latter it shifts radially. For both substrates, in the absence of convection and surface roughness effects, the phase growth kinetics is determined by diffusion and advection, the latter being due to the linear displacement of the growth front with time. For both geometric arrangements the theory predicts two limiting kinetic situations, namely a diffusion control when the time and/or the radius of the substrate approach zero, and an advection control for the reverse conditions. For the spherical substrate, when its radius tends to infinity, the kinetics of the process approaches that found at the plane plate substrate. Theoretical potentiostatic current density transients are tested utilising growth pattern data for the formation of 2D silver dense branching electrodeposits on a plane plate cathode in a quasi-2D cell, and silver electrodeposits on spherical cathodes employing a high viscosity plating solutions.Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas2006-05-20info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf3969-3978http://sedici.unlp.edu.ar/handle/10915/126605enginfo:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/abs/pii/S0013468605012983?via%3Dihubinfo:eu-repo/semantics/altIdentifier/issn/0013-4686info:eu-repo/semantics/altIdentifier/doi/10.1016/j.electacta.2005.11.011info: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:UNLP2025-09-29T11:30:32Zoai:sedici.unlp.edu.ar:10915/126605Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-29 11:30:33.078SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Solving the Stefan problem for a solid phase growth on plane plate and spherical surfaces and testing of theoretical equations
title Solving the Stefan problem for a solid phase growth on plane plate and spherical surfaces and testing of theoretical equations
spellingShingle Solving the Stefan problem for a solid phase growth on plane plate and spherical surfaces and testing of theoretical equations
Pasquale, Miguel Ángel
Ciencias Exactas
Química
Stefan problem
Diffusion–advection
Plane plate
Spherical electrode
Silver electrodeposition
title_short Solving the Stefan problem for a solid phase growth on plane plate and spherical surfaces and testing of theoretical equations
title_full Solving the Stefan problem for a solid phase growth on plane plate and spherical surfaces and testing of theoretical equations
title_fullStr Solving the Stefan problem for a solid phase growth on plane plate and spherical surfaces and testing of theoretical equations
title_full_unstemmed Solving the Stefan problem for a solid phase growth on plane plate and spherical surfaces and testing of theoretical equations
title_sort Solving the Stefan problem for a solid phase growth on plane plate and spherical surfaces and testing of theoretical equations
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
Stefan problem
Diffusion–advection
Plane plate
Spherical electrode
Silver electrodeposition
topic Ciencias Exactas
Química
Stefan problem
Diffusion–advection
Plane plate
Spherical electrode
Silver electrodeposition
dc.description.none.fl_txt_mv Solutions of the Stefan problem in the 2D space considering a moving boundary of a solid deposit growing under mass transfer control on either plane plate or spherical solid substrates are reported. In the former case, the displacement of the growth front at the plane plate occurs perpendicularly to the substrate, whereas for the latter it shifts radially. For both substrates, in the absence of convection and surface roughness effects, the phase growth kinetics is determined by diffusion and advection, the latter being due to the linear displacement of the growth front with time. For both geometric arrangements the theory predicts two limiting kinetic situations, namely a diffusion control when the time and/or the radius of the substrate approach zero, and an advection control for the reverse conditions. For the spherical substrate, when its radius tends to infinity, the kinetics of the process approaches that found at the plane plate substrate. Theoretical potentiostatic current density transients are tested utilising growth pattern data for the formation of 2D silver dense branching electrodeposits on a plane plate cathode in a quasi-2D cell, and silver electrodeposits on spherical cathodes employing a high viscosity plating solutions.
Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas
description Solutions of the Stefan problem in the 2D space considering a moving boundary of a solid deposit growing under mass transfer control on either plane plate or spherical solid substrates are reported. In the former case, the displacement of the growth front at the plane plate occurs perpendicularly to the substrate, whereas for the latter it shifts radially. For both substrates, in the absence of convection and surface roughness effects, the phase growth kinetics is determined by diffusion and advection, the latter being due to the linear displacement of the growth front with time. For both geometric arrangements the theory predicts two limiting kinetic situations, namely a diffusion control when the time and/or the radius of the substrate approach zero, and an advection control for the reverse conditions. For the spherical substrate, when its radius tends to infinity, the kinetics of the process approaches that found at the plane plate substrate. Theoretical potentiostatic current density transients are tested utilising growth pattern data for the formation of 2D silver dense branching electrodeposits on a plane plate cathode in a quasi-2D cell, and silver electrodeposits on spherical cathodes employing a high viscosity plating solutions.
publishDate 2006
dc.date.none.fl_str_mv 2006-05-20
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/10915/126605
url http://sedici.unlp.edu.ar/handle/10915/126605
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/abs/pii/S0013468605012983?via%3Dihub
info:eu-repo/semantics/altIdentifier/issn/0013-4686
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.electacta.2005.11.011
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
3969-3978
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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