Skip to main content Accessibility help

Slender-body approximations for electro-phoresis and electro-rotation of polarizable particles

  • EHUD YARIV (a1)

Slender-body asymptotic theory is used to evaluate the translational and rotational electrophoretic velocities of initially uncharged polarizable bodies of revolution. These velocities are obtained as asymptotic expansions in the small particle slenderness. Conducting particles which lack fore–aft symmetry translate parallel to the applied field direction, regardless of their orientation relative to it. Both conducting and dielectric particles tend to align with the field. The translational and rotational velocities of dielectric particles are asymptotically smaller than those of comparable conducting particles.

Hide All
Anderson, J. L. 1989 Colloid transport by interfacial forces. Annu. Rev. Fluid Mech. 30, 139165.
Batchelor, G. K. 1967 An Introduction to Fluid Dynamics. Cambridge University Press.
Bazant, M. Z. & Squires, T. M. 2004 Induced-charge electrokinetic phenomena: Theory and microfluidic applications. Phys. Rev. Lett. 92, 066101.
Brenner, H. 1964 The Stokes resistance of an arbitrary particle – IV. Arbitrary fields of flow. Chem. Engng Sci. 19, 703727.
Cole, J. D. 1968 Perturbation Methods in Applied Mathematics. Waltham, Massachusetts: Blaisdell.
Cox, R. G. 1970 The motion of long slender bodies in a visous fluid. Part 1. General theory. J. Fluid Mech. 44, 791810.
Gamayunov, N. I., Murtsovkin, V. A. & Dukhin, A. S. 1986 Pair interaction of particles in electric-field 1. Features of hydrodynamic interaction of polarized particles. Colloid J. USSR 48 (2), 197203.
Gangwal, S., Cayre, O., Bazant, M. & Velev, O. 2008 Induced-charge electrophoresis of metallodielectric particles. Phys. Rev. Lett. 100 (5), 58302.
Happel, J. & Brenner, H. 1965 Low Reynolds Number Hydrodynamics. Prentice-Hall.
Levich, V. G. 1962 Physicochemical Hydrodynamics. Prentice-Hall.
Rivette, N. J. & Baygents, J. C. 1996 A note on the electrostatic force and torque acting on an isolated body in an electric field. Chem. Engng Sci. 51, 52055211.
Saintillan, D., Darve, E. & Shaqfeh, E. S. G. 2006 a Hydrodynamic interactions in the induced-charge electrophoresis of colloidal rod dispersions. J. Fluid Mech. 563, 223259.
Saintillan, D., Shaqfeh, E. S. G. & Darve, E. 2006 b Stabilization of a suspension of sedimenting rods by induced-charge electrophoresis. Phys. Fluids 18, 121701.
Solomentsev, Y. & Anderson, J. L. 1994 Electrophoresis of slender particles. J. Fluid Mech. 279, 197215.
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, 051702.
Yariv, E. 2006 “Force-free” electrophoresis? Phys. Fluids 18, 031702.
Yariv, E. 2008 Nonlinear electrophoresis of ideally polarizable spherical particles. Europhys. Lett. 82, 54004.
Yariv, E. & Miloh, T. 2008 Electro-convection about conducing particles. J. Fluid Mech. 595, 163172.
Yossifon, G., Frankel, I. & Miloh, T. 2007 Symmetry breaking in induced-charge electro-osmosis over polarizable spheroids. Phys. Fluids 19, 068105.
Zhao, H. & Bau, H. 2007 On the effect of induced electro-osmosis on a cylindrical particle next to a surface. Langmuir 23, 40534063.
Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
Please enter your name
Please enter a valid email address
Who would you like to send this to? *


Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed