Matem. Mod., 2014 Volume 26, Number 2,Pages 11–23(Mi mm3445)
Modeling boundary conditions for the differential equations, describing electrochemical processes in the reactors with the flow three-dimensional electrodes
Abstract:
This paper deals with the description of the electrode reactions in terms of the boundary conditions in the mathematical modeling and problem solving of the calculation processes in electrochemical reactor. The methods were formulated to setting the boundary conditions in the form of equations of the polarization curves with the changing conditions electrochemical reactions with time of electrolysis, specifically examined the dependence of the equilibrium potential and current density on the concentration of the electroactive component. Mathematical modeling which describes the effect of hydrodynamic conditions on the polarization dependence of the current density on the potential in any local volume flow of three-dimensional electrode was performed. The correspondence between the calculated and experimental data was shown.
Keywords:mathematical model, differential equations, 3D-porous electrode, polarization curve, equilibrium potential, speed flow, the concentration of the electrolyte, the boundary conditions.