Evaluation of microchamber geometries and surface conditions for electrokinetic driven mixing

The paper presents numerical simulations and analysis of electrokinetic induced mixing in a microchamber in the presence of a fluctuating electric field. Two microchamber geometries are investigated; one plain and the other with strategically placed microbaffles. Both geometries are tested for two extreme surface conditions: a charged surface with induced electrokinesis and another with a neutral or passive surface. Through order of magnitude analysis and numerical experiments it is found that there is an optimal choice of nondimensional frequency and driving potential which leads to the best mixing characteristics. This is given by the relationship Re(eof)/f*< 5 and the condition that f*= O(1), where Re(eof) is the ratio of electrokinetic forces to viscous forces and f*is the nondimensional frequency. Optimal mixing is shown to occur at Re(eof) = 100 and f*= 30. In all cases, best mixing is found to occur when conditions are favorable for the establishment and sustenance of a rotational cell in the chamber driven by the fluctuating ac current. It is shown that the plain microchamber performs better under conditions of surface neutrality while microbaffles enhance mixing substantially in a charged microchamber. In the presence of a rotational cell, the characteristic time scale for mixing is reduced by 2-3 orders of magnitude compared to plain diffusion and is calculated to be between 5 and 10 s for aqueous buffers.