Analytical study and parameter-sensitivity analysis of catalytic current at a rotating disk electrode

A convective-diffusion equation with semi-infinite boundary conditions for rotating disk electrodes under the hydrodynamic conditions is discussed and analytically solved for electrochemical catalytic reactions. The steady-state catalytic current of the rotating disk electrode is derived for various possible values of parameters by using a new approach of the homotopy perturbation method. The theoretical approach in this paper is described, for the first time, on the basis of convection-diffusion equations for the kinetics of Fenton's reagent using a platinum rotating disk electrode. The obtained approximate analytical expression for the concentrations of ferric and ferrous ions for steady-state conditions are shown to be highly accurate when compared to numerical results and other approximations found in the literature. A sensitive analysis of parameters of the current and concentration is presented.