Determination of Effective Diffusion Coefficient in Divergent Channel: Area Averaging Approach

In this contribution, the long term goal includes the use of the an area-averaging approach to obtain effective transport coefficients for the long-time regime, i..e the Taylor-Aris dispersion in Poiseuille flow in a divergent microchannel while the walls of channel are assumed to have an electrostatic potential. During the current work, electromigration coupled with diffusion and convection is study in  a divergent system whereas the fluid in the geometry is assumed to be Newtonian, incompressible, and under steady state conditions. The system used here has been described by the convective-diffusive transport differential model coupled with the Laplace Equation for the electrostatic potential. Preliminary results will be presented and discussed.