A rheological study of sheared granular flows by the Mode-Coupling Theory


It has been known that granular flows are well described by the kinetic theory below volume fraction 0.5. The rheology of dense sheared granular flows (above volume fraction 0.5) have been studied by numerical simulations, but their theoretical understanding seems to be yet unsatisfactory. We attempt to shed light on this problem by the application of the Mode-Coupling Theory (MCT). It is shown that the glassy plateau of the density correlation function disappears due to inelastic collision, which is consistent with the result of numerical simulations. We discuss whether MCT can solve the discrepancy between the kinetic theory and numerical simulations in the rheology of dense sheared granular flows.

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