Numerical simulations have been performed to analyze the electric curr
ent density in an aqueous solution of CuSO4, flowing in a two-dimensio
nal channel with finite electrodes placed symmetrically on opposite si
des. A Butler-Volmer law is chosen as a boundary condition on the elec
trodes for current densities below the limiting current. At limiting c
urrent density, two modified boundary conditions at the cathode are de
rived. For 0 less than or equal to Pe less than or equal to 25000, com
parisons are made with results of other studies, and the agreement is
excellent for large values of Pe but differ for Pe similar to 1. For s
mall values of the applied voltage and large values of Pe, a semi-anal
ytic solution of the electric potential is derived. Copyright (C) 1996
Published by Elsevier Science Ltd