Geodesic
Impact of gravity on thin-layer cell electrochemical deposition
Electronic transactions on numerical analysis, Tome 34 (2009).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: Electrochemical deposition (ECD) in thin cells with different orientations relative to gravity leads to complex stable and unstable physicochemical hydrodynamic flows. Here we study the impact of gravity on these flows through a theoretical macroscopic 3D model and its numerical simulation. The model describes the diffusive, migratory, and convective motion of ions in a fluid subject to an electric field through the Nernst-Planck, Poisson, and Navier-Stokes equations, respectively. The equations are written in terms of dimensionless quantities, in particular, the gravity Grashof number, revealing the importance of gravitoconvection. The nonlinear system of partial differential equations is solved on a uniform grid using finite differences and a strongly implicit iterative scheme.
Classification : 76W05, 76U05, 65Z05, 65C20, 68U20, 65M06, 76D05
Keywords: electrochemical deposition, computational modeling, finite differences, stable physicochemical hydrodynamic flows, unstable physicochemical hydrodynamic flows 
@article{ETNA_2009__34__a8,
     author = {Mocskos, E. and Marshall, G.},
     title = {Impact of gravity on thin-layer cell electrochemical deposition},
     journal = {Electronic transactions on numerical analysis},
     publisher = {mathdoc},
     volume = {34},
     year = {2009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2009__34__a8/}
}
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Mocskos, E.; Marshall, G. Impact of gravity on thin-layer cell electrochemical deposition. Electronic transactions on numerical analysis, Tome 34 (2009). http://geodesic.mathdoc.fr/item/ETNA_2009__34__a8/