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We consider suspensions of neutrally-buoyant finite-size rigid sphericalparticles in channel flow and investigate the relation between the particledynamics and the mean bulk behavior of the mixture for Reynolds numbers $500\le Re \le 5000$ and particle volume fraction $0\le \Phi \le 0.3$, via fullyresolved numerical simulations. Analysis of the momentum balance reveals theexistence of three different regimes: laminar, turbulent and inertialshear-thickening depending on which of the stress terms, viscous, Reynolds orparticle stress, is the major responsible for the momentum transfer across thechannel.  We show that both Reynolds and particle stress dominated flows fall into theBagnoldian inertial regime and that the Bagnold number can predict the bulkbehavior although this is due to two distinct physical mechanisms. A turbulentflow is characterized by larger particle dispersion and a more uniform particledistribution, whereas the particulate-dominated flows is associated with asignificant particle migration towards the channel center where the flow issmooth laminar-like and dispersion low.Interestingly, the collision kernelshows similar values in the different regimes, although the relative particlevelocity and clustering clearly vary with inertia and particle concentration.

Channel flow of rigid sphere suspensions: particle dynamics in the inertial regime