Convective Instabilities of Electrokinetic Flows in a Cross-Shaped Microchannel
Electrokinetic instabilities (EKI) in cross-shaped channels are relevant to injections for field amplified sample stacking, flow intersections in multi-dimensional assay devices, and electrokinetic systems with indeterminate sample chemistry. Electrokinetic instabilities are generated by a coupling of electric fields and ionic conductivity gradients. This coupling results in an electric body force in the bulk liquid that can generate temporal, convective, and absolute flow instabilities. In this work, we perform a parametric experimental study of convective instabilities in cross-shaped microchannels using epifluorescence microscopy and digital imaging. We report coherent flow structures and show that the critical electric field for instability is both a function of center-to-sheath conductivity ratio and applied field ratio. Finally, we quantify the degree of mixing rate of electrokinetically unstable flows with time-average probability density functions of concentration profiles.