Non-linear rheology of active particle suspensions: Insights from an analytical approach
arXiv:1011.5744 · doi:10.1103/PhysRevE.83.011907
Abstract
We consider active suspensions in the isotropic phase subjected to a shear flow. Using a set of extended hydrodynamic equations we derive a variety of {\em analytical} expressions for rheological quantities such as shear viscosity and normal stress differences. In agreement to full-blown numerical calculations and experiments we find a shear thickening or -thinning behaviour depending on whether the particles are contractile or extensile. Moreover, our analytical approach predicts that the normal stress differences can change their sign in contrast to passive suspensions.
11 pages, 10 figures, appear in PRE
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- Nonstationary models for liquid crystals: A fresh mathematical perspective
- Stochastic Kinetic Theory for Collective Behavior of Hydrodynamically Interacting Active Particles
- Dynamics of a simple model microswimmer in an anisotropic fluid: implications for alignment behavior and active transport in a nematic liquid crystal