Hostname: page-component-78c5997874-ndw9j Total loading time: 0 Render date: 2024-11-17T16:54:35.954Z Has data issue: false hasContentIssue false

Coarsening of a Quiescent Electrorheological Fluid II: Theory

Published online by Cambridge University Press:  15 February 2011

Thomas C. Halsey*
Affiliation:
The James Franck Institute and Department of Physics, The University of Chicago, Chicago, Illinois 60637
Get access

Abstract

The coarsening observed orthogonal to the field lines in light scattering studies of a quiescent electrorhcological fluid during the “liquid-solid” phase transition can be qualitatively understood using the thermal mechanism of chain interaction proposed by Halsey and Toor. By analyzing fluctuations in the interaction between chains, we predict a power-law increase of the column width with time, with a time constant that decreases as a power of the electric field. Lubrication forces between the particles may control the time scale of these fluctuations. These predictions are in good accord with light scattering measurements.

Type
Research Article
Copyright
Copyright © Materials Research Society 1993

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

1. Block, H. and Kelly, J. P., J. Phys. D: Appl. Phys. 21, 1661 (1988).Google Scholar
2. Cast, A. P. and Zukoski, C. F., Adv. Coll. Inter. Sci. 30, 153 (1989).Google Scholar
3. Anderson, R. A., in Proc. of the International Conference on Electrorheological Fluids: Mechanism, Properties, Structure, Technology and Applications, ed. Tao, R. (World Scientific, Singapore, 1992).Google Scholar
4. Davis, L. C., Appl. Phys. Lett. 60, 319 (1992).Google Scholar
5. Halsey, T.C. and Toor, W., J. Stat. Phys. 61, 1257 (1990).Google Scholar
6. Halsey, T.C. and Toor, W., Phys. Rev. Lett. 65, 2820 (1990).Google Scholar
7. Tao, R. and Sun, J. M., Phys. Rev. Lett. 67, 398 (1991); T. Chen, R. N. Zitter, and R. Tao, Phys. Rev. Lett. 68, 2555 (1992).Google Scholar
8. Martin, J.E., Odinek, J., and Halsey, T.C., Phys. Rev. Lett. 69, 1524 (1992).Google Scholar
9. Batchelor, G. K., Introduction to Fluid Dynamics (Cambridge, New York, 1967) pg. 244.Google Scholar
10. Russel, W. B., Saville, D. A., and Schowalter, W. R., Colloidal Dispersions (Cambridge, New York, 1989) Chapter 2.Google Scholar