  In the preceding paper, the exact solution of Stokes equation was obtained
for a binary strong electrolyte solution in an external electric field. In the
present paper, the solution is applied to calculate the Wien effect on
deviation from the Coulombic law of conduction in high fields. One of the
important aims of the present line of work was in removing or avoiding the
divergence difficulty in calculating the electrophoretic and relaxation time
coefficients. The present work achieves that aim by calculating on the basis of
computing the axial velocity profiles the position of the center of the ion
atmosphere as a function of the reduced field strength and therewith computing
the electrophoretic and relaxation time coefficients for the migrating
spherical ion atmosphere at each value of the reduced field strength. With the
electrophoretic and relaxation time coefficients thus calculated along the
trajectory of the center of the ion atmosphere with regard to the reduced field
strength, the equivalent ionic conductance of a magnesium sulfate solution is
calculated and compared with experimental data in very good accuracy. It is
also compared with the prediction by Wilson's theory and is found very much
improved over the latter. Moreover, the present method is divergence-free
unlike Wilson's theory. It therefore not only sheds a new light on the
nonequilibrium liquid structure of ionic solutions and the motion of ion
atmosphere in an electric field, but also shows how the Onsager--Wilson theory
of conductance in electrolyte solutions should be applied to account for the
Wien effect on ionic conductance.
