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

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...

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Autores principales: Pasquale, Miguel Ángel, Marchiano, Susana Lucy, Vicente, José Luis, Arvia, Alejandro Jorge
Formato: Articulo
Lenguaje:Inglés
Publicado: 2006
Materias:
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/126605
https://www.sciencedirect.com/science/article/abs/pii/S0013468605012983?via%3Dihub
Aporte de:
id I19-R120-10915-126605
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ciencias Exactas
Química
Stefan problem
Diffusion–advection
Plane plate
Spherical electrode
Silver electrodeposition
spellingShingle Ciencias Exactas
Química
Stefan problem
Diffusion–advection
Plane plate
Spherical electrode
Silver electrodeposition
Pasquale, Miguel Ángel
Marchiano, Susana Lucy
Vicente, José Luis
Arvia, Alejandro Jorge
Solving the Stefan problem for a solid phase growth on plane plate and spherical surfaces and testing of theoretical equations
topic_facet Ciencias Exactas
Química
Stefan problem
Diffusion–advection
Plane plate
Spherical electrode
Silver electrodeposition
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.
format Articulo
Articulo
author Pasquale, Miguel Ángel
Marchiano, Susana Lucy
Vicente, José Luis
Arvia, Alejandro Jorge
author_facet Pasquale, Miguel Ángel
Marchiano, Susana Lucy
Vicente, José Luis
Arvia, Alejandro Jorge
author_sort Pasquale, Miguel Ángel
title Solving the Stefan problem for a solid phase growth on plane plate and spherical surfaces and testing of theoretical equations
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
publishDate 2006
url http://sedici.unlp.edu.ar/handle/10915/126605
https://www.sciencedirect.com/science/article/abs/pii/S0013468605012983?via%3Dihub
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