Signature of jamming under steady shear in dense particulate suspensions

Abstract

Under an increasing applied shear stress ($\sigma$), viscosity of many dense particulate suspensions increases drastically beyond a stress onset (${\sigma }_0$), a phenomenon known as discontinuous shear-thickening (DST). Recent studies point out that some suspensions can transform into a stress induced solid-like shear jammed (SJ) state at high particle volume fraction ($\varphi$). SJ state develops a finite yield stress and hence is distinct from a shear-thickened state. Here, we study the steady state shear-thickening behaviour of dense suspensions formed by dispersing colloidal polystyrene particles (PS) in polyethylene glycol (PEG). We find that for small $\sigma$ values the viscosity of the suspensions as a function of $\varphi$ can be well described by Krieger-Dougherty (KD) relation. However, for higher values of $\sigma$ ($>>{\sigma }_0$), KD relation systematically overestimates the measured viscosity, particularly for higher $\varphi$ values. This systematic deviation can be rationalized by the weakening of the sample due to flow induced failures of the solid-like SJ state. Using Wyart-Cates model, we propose a method to predict the SJ onset from the steady state rheology measurements. Our results are further supported by in-situ optical imaging of the sample boundary under shear.

arXiv commentJ. Phys.: Condens. Matter (in press); S.I. Movie can be downloaded from: https://drive.google.com/open?id=1sWgiVMrRnpLiu5uHjTkdHCYuxFrZG4Pl

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