We give a general, physical description of "induced-charge electro-osmosis" (ICEO), the nonlinear electrokinetic slip at a polarizable surface, in the context of some new techniques for microfluidic pumping and mixing. ICEO generalizes "AC electro-osmosis" at micro-electrode arrays to various dielectric and conducting structures in weak DC or AC electric fields. The basic effect produces micro-vortices to enhance mixing in microfluidic devices, while various broken symmetries -controlled potential, irregular shape, non-uniform surface properties, and field gradients -can be exploited to produce streaming flows. Although we emphasize the qualitative picture of ICEO, we also briefly describe the mathematical theory (for thin double layers and weak fields) and apply it to a metal cylinder with a dielectric coating in a suddenly applied DC field.The advent of microfluidic technology raises the fundamental question of how to pump and mix fluids at micron scales, where pressure-driven flows and inertial instabilities are suppressed by viscosity [1,2]. The most popular non-mechanical pumping strategy is based on electro-osmosis -the effective slip, u , at a liquidelectrolyte/solid interface due to tangential electric field, E . The Helmholtz-Smoluchowski formula,gives the slip in terms of the permittivity, ε, and viscosity, η, of the liquid and the zeta potential, ζ, across the diffuse part of the (thin) interfacial double layer [3]. The usual case of constant (possibly non-uniform [4]) ζ, however, has some drawbacks related to linearity, u ∝ E : (i) the flow is somewhat weak, e.g. u = 70µm/s in aqueous solution with E = 100 V/cm and ζ = 10 mV and (ii) AC fields, which reduce undesirable Faradaic reactions, produce zero time-averaged flow. These drawbacks do not apply to AC electro-osmosis, recently discovered by Ramos et al. [5] and Ajdari [6]. Nonlinear electro-osmotic slip is produced at microelectrodes as an AC field acts on induced double-layer charge prior to complete screening. In spite of extensive work, however, this promising effect remains limited to quasi-planar pairs [7] or arrays [8] of electrodes at a single AC frequency, ω c = τ −1 c , where τ c = λ D L/D is the "RC time" of an equivalent circuit of bulk resistors of size L (the electrode spacing) and double-layer capacitors of thickness, λ D , the Debye screening length, and D is an ionic diffusivity.How general is this phenomenon? Nonlinear electroosmotic flows have also been observed at dielectric impurities on electrodes with AC forcing [9] and, more suggestively, at dielectric (non-electrode) micro-channel corners in DC fields [10]. Although it is largely unknown (and uncited) in the West, similar flows have also been studied in the Russian literature on polarizable colloids [11], including the effect of such flows on dielectrophoresis [12]. The unifying principle in these diverse effects is that an applied field acts on its own induced diffuse charge, so we suggest the term, "induced-charge electro-osmosis" (ICEO), to describe it.In this Letter, w...