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
- Institución
- Universidad Nacional de La Plata
- OAI Identificador
- oai:sedici.unlp.edu.ar:10915/126605
Ver los metadatos del registro completo
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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 |
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Universidad Nacional de La Plata |
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SEDICI (UNLP) - Universidad Nacional de La Plata |
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