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Recent studies have highlighted that oscillatory and time-dependent shearflows might help increase flowability of dense suspensions. While most focushas been on cross-flows we here study a simple two-dimensional suspensionswhere we apply simultaneously oscillatory and stationary shear along the samedirection. We first show that the viscosities in this set-up significantlydecrease with an increasing magnitude of the oscillations, contrary to previousclaims. The decrease can be attributed to the large decrease in the number ofcontacts and an altered microstructure as the magnitude of the oscillation isincreased. As a sub-result we find both an extension to the $\mu(J)$-rheology,a constitutive relationship between the shear stresses and the shear rate,valid for pure oscillatory flows and with a higher shear-jammed packingfraction for suspensions composed of frictional particles compared tosteady-shear conditions.

Extended $\mu(J)$-rheology for dense suspensions at oscillatory shear flows