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J. Fluid Mech. (2007), vol. 575, pp. 83109. c 2007 Cambridge University Press doi:10.1017/S0022112006004368 Printed in the United Kingdom
 

Summary: J. Fluid Mech. (2007), vol. 575, pp. 83­109. c 2007 Cambridge University Press
doi:10.1017/S0022112006004368 Printed in the United Kingdom
83
Electrohydrodynamic flow around
a colloidal particle near an electrode
with an oscillating potential
W. D. RISTENPART, I. A. AKSAY AND D. A. S AVILLE
Department of Chemical Engineering, Princeton University, Princeton, NJ 08544, USA
(Received 16 August 2005 and in revised form 2 October 2006)
Electrohydrodynamic (EHD) flow around a charged spherical colloid near an elec-
trode was studied theoretically and experimentally to understand the nature of long-
range particle­particle attraction near electrodes. Numerical computations for finite
double-layer thicknesses confirmed the validity of an asymptotic methodology for
thin layers. Then the electric potential around the particle was computed analytically
in the limit of zero P´eclet number and thin double layers for oscillatory electric
fields at frequencies where Faradaic reactions are negligible. Streamfunctions for the
steady component of the EHD flow were determined with an electro-osmotic slip
boundary condition on the electrode surface. Accordingly, it was established how the
axisymmetric flow along the electrode is related to the dipole coefficient of the colloidal
particle. Under certain conditions, the flow is directed toward the particle and decays as

  

Source: Aksay, Ilhan A. - Department of Chemical Engineering, Princeton University

 

Collections: Materials Science