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Application of the compressible I-dependent rheology to chute and shear flow instabilities
journal contributionposted on 2022-10-05, 13:08 authored by James S. Fannon, Iain R. Moyles, Andrew FowlerAndrew Fowler
We consider the instability properties of dense granular flow in inclined plane and plane shear geometries as tests for the compressible inertial-dependent rheology. The model, which is a recent generalisation of the incompressible 𝜇 𝜇(I) rheology, constitutes a hydrodynamical description of dense granular flow which allows for variability in the solids volume fraction. We perform a full linear stability analysis of the model and compare its predictions to existing experimental data for glass beads on an inclined plane and discrete element simulations of plane shear in the absence of gravity. In the case of the former, we demonstrate that the compressible model can quantitatively predict the instability properties observed experimentally, and, in particular, we find that it performs better than its incompressible counterpart. For the latter, the qualitative behaviour of the plane shear instability is also well captured by the compressible model.
PublicationJournal of Fluid Mechanics;864, pp. 1026-1057
PublisherCambridge University Press
Notepeer-reviewed The full text of this article will not be available in ULIR until the embargo expires on the 14/08/2019
Other Funding informationSFI
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