Analysis of Electrodiffusion Equations in the Decomposition Form

V. V. Nikonenko , M. Kh. Urtenov
Российский электрохимический журнал
Abstract / Full Text

Decomposition of unidimensional steady-state Nernst–Planck and Poisson equations is considered.Order of terms in decomposition equations for the electrical-field strength over the entire diffusion layer at sublimiting and overlimiting currents is estimated. The exception is the boundary-layer region near the membranesurface, where the asymptotic method of boundary-layer functions can be used. The electroneutrality conditionis analyzed, and the condition of the quasi-uniform distribution of the charge density (QDC), which generalizesthe electroneutrality condition, is discussed. An algorithm for numerical solution of decomposition equationsis proposed.