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Nonequilibrium structure of concentrated colloidal fluids under steady shear: leading-order response

Oliver Henrich, Oskar Pfeifroth and Matthias Fuchs

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The flow-induced microstructural distortions of dense colloidal dispersions under steady shearing are derived within a recent first-principles approach to the nonlinear rheology of colloidal fluids and glasses. The stationary structure factor is discussed to leading orders in shear rate \dot {\gamma } . We find that shear affects the stationary structure whenever the dressed Peclet/Weissenberg number \mathit {Pe}=\dot {\gamma }\tau becomes appreciable; here τ is the structural or α-relaxation time. Close to vitrification, this predicts significantly larger shear distortions than expected from considering the bare Peclet number Pe0; it compares \dot {\gamma } with the diffusion time of a colloid at infinite dilution.


PACS

82.70.Dd Colloids

47.57.Qk Rheological aspects

47.10.-g General theory in fluid dynamics

83.50.Ax Steady shear flows, viscometric flow

Subjects

Soft matter, liquids and polymers

Fluid dynamics

Mathematical physics

Chemical physics and physical chemistry

Dates

Issue 20 (23 May 2007)

Received 15 December 2006, in final form 3 January 2007

Published 25 April 2007



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