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
References in corpus (17)
- Long-lived Giant Number Fluctuations in a Swarming Granular Nematic
- Swarming and swirling in self-propelled polar granular rods
- Spontaneous flow transition in active polar gels
- Effective viscosity of microswimmer suspensions
- Enhanced diffusion and ordering of self-propelled rods
- Hydrodynamics of self-propelled hard rods
- Pattern formation of microtubules and motors: inelastic interaction of polar rods
- Shearing active gels close to the isotropic-nematic transition
- Spontaneous flow states in active nematics: a unified picture
- Generic phase diagram of active polar films
- Sheared active fluids: thickening, thinning and vanishing viscosity
- Complex Spontaneous Flows and Concentration Banding in Active Polar Films
- Rheology of Active Filament Solutions
- Early stages of the shear banding instability in wormlike micelles
- Effective Viscosity of Dilute Bacterial Suspensions: A Two-Dimensional Model
- Nematic and Polar order in Active Filament Solutions
- Shear-stress controlled dynamics of nematic complex fluids
Cited by in corpus (8)
- Shear thickening in concentrated suspensions: phenomenology, mechanisms, and relations to jamming
- Swimming trajectories of a three-sphere microswimmer near a wall
- State diagram of a three-sphere microswimmer in a channel
- Asymmetric pattern formation in microswimmer suspensions induced by orienting fields
- Driving kinetically constrained models into non-equilibrium steady states: structural and slow transport properties
- 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