Free-surface problems in electrokinetic micro- and nanofluidics

With the development of novel micro- and nanofluidic devices, applications of flows with moving interfaces are in increasing demand. Problems in ultra-small scale with moving boundaries, which have not yet been exploited rigorously, are discussed with focus on electrokinetic flows. A generic formulation for moving interfaces, applicable to micro- and nanoscale electrokinetic flows, is provided, and actual free-surface problems in electroosmosis and electrophoresis are presented.