A New Approach for Solving Mass and Charge Transport in Electrochemical Systems
This paper presents a numerical method for the calculation of concentration, potential and current distributions in electrochemical cells controlled by diffusion, convection and migration of ions. The influence of migration effects gives rise to a system of coupled nonlinear partial differential equations which describes the transport of mass and charge. A multi-dimensional upwinding method (MDUM) has been adapted in order to solve this nonlinear system. The developed model can deal with two dimensional electrochemical cells at steady state involving multiple ions. The electrolyte solutions are considered to be dilute and at a constant temperature. Examples are given for solutions with 3 ions in one and two dimensional geometries and with imposed current density on the electrodes.
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