Transition from viscous to inertial regime in dense suspensions

Details Transition from viscous to inertial regime in dense suspensions Transition from viscous to inertial regime in dense suspensions

2012-04-12

arxiv.org/abs/1204.2732v1

Physics

Condensed Matter

Soft Condensed Matter

4 pages, 3 figures

Scientific paper

Non-brownian suspensions present a transition from a newtonian behaviour in the zero-shear limit to a shear thickening behaviour at large shear rate, none of which is clearly understood so far. Here, we carry out numerical simulations of such an athermal dense suspension under shear, at imposed confining pressure. This set-up is conceptually identical to the recent experiments of Boyer and co-workers [Phys. Rev. Lett. 107,188301 (2011)]. Varying the interstitial fluid viscosities, we recover the Newtonian and Bagnoldian regims and show that they correspond to a dissipation dominated by viscous and contact forces respectively. We show that the two rheological regimes can be unified as a function of a single dimensionless number, by adding the contributions to the dissipation at a given volume fraction.

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