Numerical Analysis of Magnetic Mixing Phenomenon in an Electroosmotic Flow between Two Parallel Plates

In the present paper, the mixing in electroosmotic flow is studied numerically and simulated in the presence of a magnetic field with three different locations. The flow geometry was included a two-dimensional duct between two parallel plates, and the flow was assumed to be incompressible, steady and laminar. The governing equations of the problem, including modified momentum equations (Navier-Stokes) for the fluid flow field, the equations of external and internal electric potential fields, the equations of distribution of the positive and negative ions (Nernst-Planck), the magnetic field equation, and the concentration equation for species have been solved using the finite volume numerical method. The obtained numerical results were validated against the analytical solutions of an EOF with uniform microchannel walls zeta potentials. The numerical results show that in the presence of a magnetic field, so the final mixing efficiency reaches to 93.3 %. However, this is while the magnetic field has been applied before the electric double layer.