Incompressible Fluid Mixtures of Ionized Constituents.

Abstract

A model of a fluid mixture of incompressible chemically reacting charged constituents in Prigogine's description (i.e.~balancing the barycentric momentum but not momenta of particular constituents) is presented. Under the volume-additivity hypothesis, incompressibility of all constituents, and some other simplifying assumptions, the model combines the Navier-Stokes equation together with the Nernst-Planck equation with advection for the concentrations of the particular mutually reacting constituents, the heat equation, and finally the Poisson equation for the self-induced quasistatic electric field.

The isothermal variant is analyzed by Galerkin's method.