Frequency characteristics of a spatially-confined electrochemical cell under conditions of convective diffusion

A theory for the transfer function of an electrochemical cell under conditions of convective diffusion is constructed. The variational principle for the integration of the convective-diffusion equation is developed, which reduces the problem solution to selecting adequate trial functions. With the diffusion frequency exceeded, the decay in the frequency dependence of the transfer function is defined by the system geometry. At a certain balance between parameters of the electrode system the frequency dependence of the transfer function can be strictly analytical, i.e. of the omega(-1) type.