Phase Field Modeling Of Phase Boundary
Motion Due To Transport-limited
Electrochemical Reactions
Author(s)
A. Powell & W. Pongsaksawad
Abstract
A new phase field model is presented for simulation of phase boundary motion
due to transport-limited electrochemical reactions. The model consists of Cahn-
Hilliard diffusion based on a statement of free energy with an electrostatic
energy term, and conservation of charge. It is shown that under assumptions of
negligible charge transfer resistance (mass transfer dominance) and rapid charge
redistribution, the conservation of charge equation reduces to zero divergence
of current density. When simulating electrolytic metal oxidation/reduction with
an unsupported electrolyte, the model reproduces analytical models of cathode
interface stability. It can also simulate electronically mediated reactions at separate
interfaces, such as those occurring in metallothermic reduction processes. Results
are presented for both unsupported and supported electrolytes, and both solidstate
transformations and those involving fluid flow, including fluid-structure
interactions using the Mixed Stress model for diffuse interface fluid-structure
modeling.
Keywords: electrochemistry, mathematical modeling, phase field, fluid flow,
stability analysis, dendrite, streamer, titanium, steelmaking.
1 Introduction
Electrolysis enjoys widespread use for extraction of metals from their ores or
aqueous solutions. However, metal electrodeposition very often results in a rough
surface or dendrites due to a Mullins-Sekerka instability at the cathode/electrolyte
Keywords
electrochemistry, mathematical modeling, phase field, fluid flow,stability analysis, dendrite, streamer, titanium, steelmaking.
Related Book
Other papers in this volume
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