2017 Volume 85 Issue 1 Pages 23-26
One-dimensional electrochemical cellular automata have been extended to incorporate a system of 300 × 300 cells for considering the flow of an electrolytic solution. The random-walk method is employed to deal with this problem in two steps: First, the velocity potential is determined as a steady-state solution. Second, the modified concentration, i.e., the product of the velocity potential and the concentrations of the oxidized and reduced chemical species, is calculated with the simultaneous application of the electrostatic potential. The model is applied to the calculation of the Cottrell current, or the transient response to the step voltage, and the results indicate that the limiting currents linearly increase with increasing flow velocity.
