Article ID Journal Published Year Pages File Type
219799 Journal of Electroanalytical Chemistry 2011 12 Pages PDF
Abstract

An analysis of reaction and diffusion within the homogeneous catalytic reactions at spherical microelectrodes are presented. This model contains a non-linear term related to reaction/diffusion parameters. The analytical expression of quasi-first- and second-order homogeneous catalytic reactions with equal diffusion coefficients at spherical microelectrodes under non-steady-state conditions are obtained by using Homotopy perturbation method. Simple and closed analytical expressions for concentration and current for short and medium time and small values of reaction/diffusion parameters are presented. He’s Homotopy perturbation method is used to give the approximate analytical solutions of coupled non-linear system of reaction–diffusion equations. The numerical solution of the problem is also reported using SCILAB software program. The analytical results are compared with our numerical results. A excellent agreement with simulation data is noted. The concentration and current for pseudo-first-order EC′ reaction at spherical electrode is also reported and compared with second-order homogeneous catalytic reactions.

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