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arXiv · 1301.5245

Density Functional approach to Nonlinear Rheology

J. Reinhardt·F. Weysser·J. M. Brader
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Abstract

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.

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J. Reinhardt, F. Weysser, J. M. Brader. 2013-01-22. Density Functional approach to Nonlinear Rheology. https://doi.org/10.1209/0295-5075%2F102%2F28011

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