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On the distortion of the static structure factor of colloidal fluids in shear flow

Published online by Cambridge University Press:  26 April 2006

J. K. G. Dhont
J. K. G. Dhont
Affiliation:
State University of Utrecht, Padualaan 8, 3508 TB Utrecht, The Netherlands
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Abstract

It is shown that the shear-induced distortion of the static structure factor (or equivalently, the pair distribution function) of colloidal fluids is a non-analytic function of the shear rate. The Smoluchowski equation shows boundary-layer behaviour at zero wave vector (large separations). The width of this boundary layer is proportional to the square-root of the shear rate. An explicit perturbation analysis of the two-particle Smoluchowski equation without hydrodynamic interactions is given. The onset of the non-Newtonian behaviour of the effective vicosity is due to the boundary-layer behaviour of the structure factor.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 204 , July 1989 , pp. 421 - 431
Copyright
© 1989 Cambridge University Press

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References

Batchel, G. K.: 1977 J. Fluid Mech. 83, 97.
Dhont, J. K. G.: 1987 Physica A146, 541.
van Dyke, M.: 1964 Perturbation Methods in Fluid Mechanics. Academic.
Eckhaus, W.: 1979 Asymptotic Analysis of Singular Perturbations. North Holland. Chapter 4 in this book is recommended for a good heuristic introduction in this field.
Felderhof, B. U.: 1983 Physica A118, 69.
Hinch, E. J. & Leal, L. G., 1972 J. Fluid Mech. 52, 683.
Leal, L. G. & Hinch, E. J., 1971 J. Fluid Mech. 46, 685.
Ronis, D.: 1984 Phys. Rev. A29, 1453.
Russel, W. B.: 1976 J. Colloid Interface Sci. 55, 590.
Russel, W. B. & Gast, A. P., 1986 J. Chem. Phys. 84, 1815.