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Dense Colloidal Suspensions Under Time-dependent Shear by Brader, J. M.; Voigtmann, T.; Cates, M. E.; Fuchs, M. is a scholarly article available to read on EtoBox.

What is Dense Colloidal Suspensions Under Time-dependent Shear about?

We consider the nonlinear rheology of dense colloidal suspensions under a time-dependent simple shear flow. Starting from the Smoluchowski equation for interacting Brownian particles advected by shearing (ignoring fluctuations in fluid velocity) we develop a formalism which enables the calculation of time-dependent, far-from-equilibrium averages. Taking shear-stress as an example we derive exactly a generalized Green-Kubo relation, and an equation of motion for the transient density correlator, involving a three-time memory function. Mode coupling approximations give a closed constitutive equation yielding the time-dependent stress for arbitrary shear rate history. We solve this equation numerically for the special case of a hard sphere glass subject to step-strain.

Author

Brader, J. M.; Voigtmann, T.; Cates, M. E.; Fuchs, M.

Published

2006

Language

EN