4.6 Article

Force fluctuations at the transition from quasi-static to inertial granular flow

期刊

SOFT MATTER
卷 15, 期 42, 页码 8532-8542

出版社

ROYAL SOC CHEMISTRY
DOI: 10.1039/c9sm01111k

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资金

  1. IFPRI
  2. NSF [DMR 1206808]
  3. Dorothy Hodgkin Fellowship [DH120121]
  4. Royal Society [RG130403]
  5. Cambridge International Trust
  6. Royal Society [DH120121] Funding Source: Royal Society

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We analyse the rheology of gravity-driven, dry granular flows in experiments where individual forces within the flow bulk are measured. We release photoelastic discs at the top of an incline to create a quasi-static erodible bed over which flows a steady 2D avalanche. The flowing layers we produce are dense (phi approximate to 0.8), thin (h approximate to 10d), and in the slow to intermediate flow regime (I = 0.1 to 1). Using particle tracking and photoelastic force measurements we report coarse-grained profiles for packing fraction, velocity, shear rate, inertial number, and stress tensor components. In addition, we define a quantitative measure for the rate of generation of new force chain networks and we observe that fluctuations extend below the boundary between dense flow and quasi-static layers. Finally, we evaluate several existing definitions for granular fluidity, and make comparisons among them and the behaviour of our experimentally-measured stress tensor components. Our measurements of the non-dimensional stress ratio mu show that our experiments lie within the local rheological regime, yet we observe rearrangements of the force network extending into the quasi-static layer where shear rates vanish. This elucidates why non-local rheological models rely on the notion of stress diffusion, and we thus propose non-local effects may in fact be dependent on the local force network fluctuation rate.

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