Electrolyte Solution - Mathematical Model

The important lapse in the failure of Debye-Huckel theory was established during the last century by detailed theoretical and experimental work of Glueckauff, Pitzer, Buchner, Barthel and the Nobel Prize winners Eigen and Tamm. The omission of incorporation of dielectric permittivity variation with concentration is attributed to be sole cause for several interesting mechanisms observed in electrolytic solutions. This book developed a model to fill the void. A nonlinear equation for Dielectric constant as a function of three different powers of concentration was proposed. Gauss-Newton method was used in curve fitting the Dielectric data. The Poisson-Boltzmann equation provided access to apply the proposed correction to the Debye-Huckel theory. The governing equations for an EOF of an aqueous electrolyte solution were developed by fully coupled Navier ¿ Stokes, Maxwell ¿ Stefan, Poisson - Boltzmann equations. The Finite difference method and Finite element method were used to solve the governing equations.