2003/04/30 by Todd M. Squires, Martin Z. Bazant · 1 citation
Physics and Astronomy · #physics.flu-dyn #cond-mat.soft #physics.chem-ph
paper · pdf · doi:10.1017/s0022112004009309
published as J. Fluid Mech. 509, 217-252 (2004) · 36 pages, 8 figures, to appear in J. Fluid Mech
arxiv created 2004/02/09 · arxiv updated 2009/11/30
We describe the general phenomenon of `induced-charge electro-osmosis' (ICEO) -- the nonlinear electro-osmotic slip that occurs when an applied field acts on the ionic charge it \sl induces around a polarizable surface. Motivated by a simple physical picture, we calculate ICEO flows around conducting cylinders in steady (DC), oscillatory (AC), and suddenly-applied electric fields. This picture, and these systems, represent perhaps the clearest example of nonlinear electrokinetic phenomena. We complement and verify this physically-motivated approach using a matched asymptotic expansion to the electrokinetic equations in the thin double-layer and low potential limits. ICEO slip velocities vary like us ∝ E02 L, where E0 is the field strength and L is a geometric length scale, and are set up on a time scale τc = λD L/D, where λD is the screening length and D is the ionic diffusion constant. We propose and analyze ICEO microfluidic pumps and mixers that operate without moving parts under low applied potentials. Similar flows around metallic colloids with fixed total charge have been described in the Russian literature (largely unnoticed in the West). ICEO flows around conductors with fixed potential, on the other hand, have no colloidal analog and offer further possibilities for microfluidic applications.