  We consider a coupled system of Navier Stokes, Maxwell Stefan and Poisson
Boltzmann equations by incorporating the variation of dielectric constant,
which governs the electro osmotic flow in nano channel, describing the
evolution of the velocity, concentration and potential fields of dissolved
constituents in an aqueous electrolyte solution. We apply the finite difference
technique to solve one and two dimensional systems of these equations. The
solutions give an extremely accurate prediction of the dielectric constant for
a variety of salts and a wide range of concentrations.
