Unifying disparate rate-dependent rheological regimes in non-Brownian suspensions
A typical dense non-Brownian particulate suspension exhibits shear thinning (decreasing viscosity) at low shear rate/stress followed by a Newtonian plateau (constant viscosity) at intermediate shear rate/stress values which transitions to shear thickening (increasing viscosity) beyond a critical shear rate/stress value and finally, undergoes a second shear thinning transition at extremely high shear rate/stress values. In this study, we unify and quantitatively reproduce all the disparate rate dependent regimes and the corresponding transitions for a dense non-Brownian suspension with increasing shear rate/stress. Here, we employ discrete particle dynamics simulations based on the proposed mechanism to elucidate its accuracy. We find that a competition between inter-particle interactions of hydrodynamic and non-hydrodynamic origins and the switching in the dominant stress scale with increasing the shear rate/stress lead to each of the above transitions. Inclusion of traditional hydrodynamic interactions, attractive/repulsive DLVO (Derjaguin and Landau, Verwey and Overbeek) interactions, the inter-particle contact interactions and a constant friction (or other constraint mechanism) reproduce the initial thinning as well as the shear thickening transition. However, to quantitatively capture the intermediate Newtonian plateau and the second shear thinning, an additional non-hydrodynamic interaction of non-DLVO origin and a decreasing coefficient of friction, respectively, are essential; thus, providing the first explanation for the presence of the intermediate Newtonian plateau along with reproducing the second shear thinning in a single framework. Expressions utilized for various interactions and friction are determined from experimental measurements and hence, result in an excellent quantitative agreement between the simulations and previous experiments.