Mathematical modelling of salt ion transfer in the three-dimensional desalting channel of an electrodialysis apparatus

A new 3D model of 1:1 salt ion transfer in the desalting channel an electrodialysis apparatus is presented and investigated this paper. For first time a three-dimensional mathematical taking into account electroconvection based on system Nernst – Planck, Poisson Navier Stokes equations with electric force natural boundary conditions proposed. To solve value problem, finite element method used cross-platform numerical analysis software COMSOL Multiphysics combination successive approximations, when electrochemical hydrodynamic parts problem are solved one by current layer. In turn, Newton’s method. As result analysis, fundamental regularities channel, emergence development electroconvective vortices, including discovery spiral forms ions, established for time. It shown that vortices exist form clusters, within which vortex bifurcations can occur. Thus, currently existing simplified view structure clarified developed.