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Varying particle shape provides a route to rationally design the viscosityand jamming of complex fluids. The underlying physical mechanisms, however,remain unexplored. Here we use the discrete element method, taking particlecontact and hydrodynamic lubrication into account, to unveil the shear rheologyof mixtures of frictionless non-Brownian spheres and rod-like (spherocylinders)particles in the dense regime of packing fraction. By increasing the aspectratio of the rods, while keeping constant either the total (rods plus spheres)particle packing fraction and the rod-sphere mixing ratio, the viscosity $\eta$of the mixture is observed to vary in a non-monotonical fashion. An initialdecrease of viscosity with increasing aspect ratio is followed by a subsequentincrease after that a minimum is reached when the rods have an aspect ratio ofapproximately $1.5.$ This minimum represents the absolute one, in theparticular case of no spheres present in the system. A mechanisticinterpretation of this discovery is provided in terms of packing andexcluded-volume arguments.

Shear flow of non-Brownian rod-sphere mixtures near jamming