We present a "fluid dynamics video" showing results from direct numerical
simulations of electrokinetic transport in a binary electrolyte in two systems:
(1) next to an ion-selective membrane and (2) around a metallic cylinder. The
governing equations are the Poisson--Nernst--Planck and Navier--Stokes and our
DNS resolves the time and length scales associated with the thin electric
double layers. Our results show transition to chaotic dynamics when the applied
voltage across the characteristic length scale is above a threshold of
approximately 0.5 Volt. More details, in particular regarding system (1), are
given in our paper [Druzgalski et al. POF 25, 110804 (2013)].Comment: 2 videos include