COMPUTING POLARIZATION CURVES FOR THE ROTATING DISK ELECTRODE BY ORTHOGONAL COLLOCATION

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Abstract
Concentration and potential profiles in the mass-transfer boundary layer adjacent to a rotating disk electrode may be computed approximately by the method of orthogonal collocation. Because the method lends itself to the iterative solution of nonlinear problems, it can handle nonlinear electrode kinetics expressions in the boundary conditions as well as migration and homogeneous reaction terms in the transport equations. Calculation of the current density at various applied potentials generates theoretical polarization curves. This paper outlines the formulation of the collocation method and presents sample results for the effect of migration on current in a ternary electrolyte, for concentration overpotential calculations, and for simulated polarization curves with multiple electrode reactions and with coupled homogeneous reactions. Although the treatment presented here is limited to the one-dimensional, steady-state model of the rotating disk, it can be generalized to solve multidimensional problems.

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