Solution of Nonlinear Polarization Boundary Conditions

Abstract

An efficient algorithm for solving multiple reaction electrochemical polarization equations is presented. The boundary integral formulation for the electric field (Laplace equation) conveniently provides a direct relationship between potential and current at the electrode surfaces, which can then be coupled to the nonlinear polarization boundary conditions. As a consequence, a successful Gauss-Seidel type iteration, incorporating a nonlinear solve at each step, can be developed. Results are presented for the modeling multiple chemical reactions in an electrospray emitter tube.