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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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