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Electro-convection about conducting particles

  • EHUD YARIV (a1) and TOUVIA MILOH (a2)


A perfectly conducting spherical particle is suspended within an electrolyte solution and is exposed to a uniformly applied electric field. Using a weak-field approximation, the electro-kinetic flow is analysed for arbitrary Debye-layer thickness, the commonly employed thin-layer model emerging as a special case. We identify a scalar property which quantifies the global strength of the quadrupolar flow structure.



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Abramowitz, M. & Stegun, I. A. 1965 Handbook of Mathematical Functions, 3rd edn. Dover.
Ajdari, A. 2000 Pumping liquids using asymmetric electrode arrays. Phys. Rev. E 61 (1), R45R48.
Bazant, M. Z. & Ben, Y. X. 2006 Theoretical prediction of fast 3D AC electro-osmotic pumps. Lab on a Chip 6 (11), 14551461.
Bazant, M. Z. & Squires, T. M. 2004 Induced-charge electrokinetic phenomena: Theory and microfluidic applications. Phys. Rev. Lett. 92 (6), 066101.
Ben, Y. X. & Chang, H. C. 2002 Nonlinear Smoluchowski slip velocity and micro-vortex generation. J. Fluid Mech. 461, 229238.
Brown, A. B. D., Smith, C. G. & Rennie, A. R. 2000 Pumping of water with ac electric fields applied to asymmetric pairs of microelectrodes. Phys. Rev. E 63 (1), 016305.
Happel, J. & Brenner, H. 1965 Low Reynolds Number Hydrodynamics. Prentice-Hall.
Levich, V. G. 1962 Physicochemical Hydrodynamics. Prentice-Hall.
Murtsovkin, V. A. 1996 Nonlinear flows near polarized disperse particles. Colloid J. 58 (3), 341349.
Rubinstein, I. & Zaltzman, B. 2001 Electro-osmotic slip of the second kind and instability in concentration polarization at electrodialysis membranes. Math. Mod. Meth. Appl. Sci. 11 (2), 263300.
Saintillan, D., Darve, E. & Shaqfeh, E. S. G. 2006 Hydrodynamic interactions in the induced-charge electrophoresis of colloidal rod dispersions. J. Fluid Mech. 563, 223259.
Saville, D. A. 1977 Electrokinetic effects with small particles. Annu. Rev. Fluid Mech. 9, 321337.
Shilov, V. N. & Simonova, T. S. 1981 Polarization of electric double-layer of disperse particles and dipolophoresis in a steady (DC) field. Colloid J. USSR 43 (1), 9096.
Simonov, I. N. & Dukhin, S. S. 1973 Theory of electrophoresis of solid conducting particles in case of ideal polarization of a thin diffuse double-layer. Kolloidnyi Z. 35 (1), 191193.
Simonova, T. S., Shilov, V. N. & Shramko, O. A. 2001 Low-frequency dielectrophoresis and the polarization interaction of uncharged spherical particles with an induced Debye atmosphere of arbitrary thickness. Colloid J. 63 (1), 108115.
Squires, T. M. & Bazant, M. Z. 2004 Induced-charge electro-osmosis. J. Fluid Mech. 509, 217252.
Squires, T. M. & Bazant, M. Z. 2006 Breaking symmetries in induced-charge electro-osmosis and electrophoresis. J. Fluid Mech. 560, 65101.
Yariv, E. 2005 Induced-charge electrophoresis of nonspherical particles. Phys. Fluids 17 (5), 051702.
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Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
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