Redox-electrode reactions at the two- and the three-dimensional convergent flow electrodes are treated theoretically considering both rates of convective diffusion and kinetic processes. A high current density is observed at both the leading edge and the back edge of these electrodes. This behavior of current density is quite different from that at other types of electrodes previously employed in hydrodynamic voltammetry. Simple approximate equations are presented, which represent the current-voltage curves of redox-electrode reactions without or with a preceding chemical reaction.