Non-linear rheology of active particle suspensions: Insights from an analytical approach

Details Non-linear rheology of active particle suspensions: Insights from an analytical approach Non-linear rheology of active particle suspensions: Insights from an analytical approach

2010-11-26

arxiv.org/abs/1011.5744v2

Physics

Condensed Matter

Soft Condensed Matter

11 pages, 10 figures, appear in PRE

Scientific paper

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.

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