Rheology of periodically sheared suspensions undergoing reversible-irreversible transition

Abstract

The rheology of non-colloidal suspensions under cyclic shear is studied numerically. The main findings are a strain amplitude (${\gamma }_0$) dependent response in the shear stress and second normal stress difference ($N_2$). Specifically, we find a reduced viscosity, an enhanced intracycle shear thinning, the onset of a finite $N_2$ and its frequency doubling, all near a critical strain amplitude ${\gamma }_c$ that scales with the volume fraction $\varphi$ as ${\gamma }_c\sim {\varphi }^{-2}$. These rheological changes also signify a reversible-irreversible transition (RIT), dividing stroboscopic particle dynamics into a reversible absorbing phase (for ${\gamma }_0<{\gamma }_c$) and a persistently diffusing phase (for ${\gamma }_0>{\gamma }_c$). We explain the results based on two flow-induced mechanisms and elucidate their connection in the context of RIT through the underlying microstructure, which tends towards hyperuniformity near ${\gamma }_0={\gamma }_c$. Overall, we expect this correspondence between rheology and emergent dynamics to hold in a wide range of settings where structural organizations are dominated by volume exclusions.

9 pages, 7 figures

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Cited by in corpus (3)

• Random organization criticality with long-range hydrodynamic interactions
• Avalanches in the Random Organization Model with long-range interactions
• Nonmonotonic diffusion in sheared active suspensions of squirmers