Density functional approach to nonlinear rheology
1 Department of Physics, University of Fribourg - CH-1700 Fribourg, Switzerland
2 Institut Charles Sadron, CNRS - Strasbourg Cedex 2, France, EU
Received: 22 January 2013
Accepted: 10 April 2013
We present a density-functional–based closure of the pair Smoluchowski equation for Brownian particles under shear flow. Given an equilibrium free-energy functional as input, the theory provides first-principles predictions for the flow-distorted pair correlation function and associated rheological quantities over a wide range of volume fractions and flow rates. Taking two-dimensional hard disks under shear flow as an illustrative model, we calculate the pair correlation function, viscosity and normal-stress difference under both steady and start-up shear.
PACS: 82.70.Dd – Colloids / 83.60.Rs – Shear rate-dependent structure (shear thinning and shear thickening) / 05.20.Jj – Statistical mechanics of classical fluids
© EPLA, 2013