Hostname: page-component-8448b6f56d-c4f8m Total loading time: 0 Render date: 2024-04-16T07:11:43.448Z Has data issue: false hasContentIssue false
  • English
  • Français

Hydrodynamics of electrophoretic motion in an alternating electric field

Published online by Cambridge University Press:  26 April 2006

R. P. Sawatzky  and
A. J. Babchin
R. P. Sawatzky
Affiliation:
Alberta Research Council, Oil Sands and Hydrocarbon Recovery Department, PO Box 8330, Station F, Edmonton, Alberta T6H 5X2, Canada
A. J. Babchin
Affiliation:
Alberta Research Council, Oil Sands and Hydrocarbon Recovery Department, PO Box 8330, Station F, Edmonton, Alberta T6H 5X2, Canada
Get access Rights & Permissions [Opens in a new window]

Abstract

Electrophoresis in an alternating electric field is the basis for electroacoustical measurements. These measurements provide new means of investigating the electrokinetic properties of colloidal systems. In order to relate electroacoustical signals to the charge and the size of colloidal particles, an expression is required for the dynamic electrophoretic mobility of colloidal particles in a continuous fluid. In this paper, an exact analytical solution to the problem is given for an arbitrary ratio between the particle radius and the electric double-layer thickness, in the case where the electrokinetic potential of the uniformly charged particle is small and unaffected by the alternating field.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 246 , January 1993 , pp. 321 - 334
Copyright
© 1993 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Abramowitz, M. & Stegun, I. 1972 Handbook of Mathematical Functions. Dover.
Babchin, A. J., Chow, R. S. & Sawatzky, R. P. 1989 Electrokinetic measurements by electroacoustical methods. Adv. Colloid Interface Sd. 30, 111.Google Scholar
Babchin, A. J., Sawatzky, R. P., Chow, R. S., Isaacs, E. E & Huang, H. 1990 Electroacoustical methods for monitoring of coagulation/coalescence kinetics in colloidal systems. In Inil Symp. on Surface Charge Characterization, San Diego, CA, August, 1990 (ed. K. Oka). Tulsa, OK: Fine Particle Society.
Debye, P. 1933 A method for the determination of the mass of the electrolytic ions. J. Chem. Phys. 1, 13.Google Scholar
Dukhin, S. S. & Shilov, V. N. 1974 Dielectric Phenomena and the Double Layer in Disperse Systems and Polyelectrolytes. Wiley.
Gur, Y., Ravina, I. & Babchin, A. J. 1978 On the electric double layer theory. Part II. The Poisson–Boltzmann equation including hydration forces. J. Colloid Interface Sci. 64, 333.Google Scholar
Guzmán-Garcia, A. G., Pintauro, P. X., Verbrugge, M. W. & Hill, R. F. 1990 Development of a space-charge transport model for ion-exchange membranes. AIChE J. 36, 1061.Google Scholar
Henry, D. C. 1931 The cataphoresis of suspended particles. Part I. The equation of cataphoresis. Proc. R. Soc. Lond. A 133, 106.Google Scholar
Hunter, R. J. 1981 Zeta Potential in Colloid Science. Academic.
Isaacs, E. E., Huang, H., Babchin, A. J. & Chow, R. S. 1990 Electroacoustical method for monitoring the coalescence of water-in-oil emulsions. Colloids Surfaces 46, 177.Google Scholar
James, R. O., Texter, J. & Scales, P. J. 1991 Frequency dependence of electroacoustic (electrophoretic) mobilities, Langmuir 7, 1993.Google Scholar
Landau, L. D. & Lifshitz, E. M. 1959 Fluid Mechanics, 2nd ed. Pergamon.
O'Brien, R. W. 1986 Determination of particle size and electric charge, Australian Patent PH 8241.
O'Brien, R. W. 1988 Electro-acoustic effects in a dilute suspension of spherical particles. J. Fluid Mech. 190, 71.Google Scholar
O'Brien, R. W. & White, L. R. 1978 Electrophoretic mobility of a spherical colloidal particle. J. Chem. Soc. Faraday II 74, 1607.Google Scholar
Oja, T., Peterson, G. L. & Cannon, D. W. 1985 Measurement of electro-kinetic properties of a solution. United States Patent 4,497,208.
Overbeek, J. Th. G. 1952 Electrokinetic phenomena. In Colloid Science (ed. H. R. Kruyt). Elsevier.
Wiersema, P. H., Loeb, A. L. & Overeeek, J. Th. G. 1966 Calculation of the electrophoretic mobility of a spherical colloidal particle. J. Colloid Interface Sci. 22, 78.Google Scholar