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A Growth Model For Ramified Electrochemical Deposition

Published online by Cambridge University Press:  10 February 2011

Guillermo Marshall ,
Pablo Mocskos  and
Martin Olivella
Guillermo Marshall
Affiliation:
University of Buenos Aires National Research Council.
Pablo Mocskos
Affiliation:
University of Buenos Aires
Martin Olivella
Affiliation:
University of Buenos Aires
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Abstract

We introduce a macroscopic model for the description of growth pattern formation in ramified electrochemical deposition. The theoretical model is formulated as a 2D time-dependent problem consisting in the Nernst-Planck equations for the concentration of the solute (cations and anions), coupled to a Poisson equation for the electrostatic potential and the Navier-Stokes equations for the solvent, with a moving boundary. A dimensional analysis is performed and a new set of dimensionless numbers governing the flow regime is derived. A 2D discrete version of these equations in a DBM scheme with a random moving boundary constitutes the computational model. We present numerical results which show that our growth model, with a proper variation of the set of dimensionless numbers, gives a reasonable picture of the interplay of the electroconvective, migration and diffusive motion of the ions near the growing tips.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 407: Symposium M – Disordered Materials and Interfaces-Fractals, structure and Dynamics , 1995 , 355
Copyright
Copyright © Materials Research Society 1996

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References

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