Application of the compressible I-dependent rheology to chute and shear flow instabilities

J. S. Fannon, I. R. Moyles, A. C. Fowler

Research output: Contribution to journalArticlepeer-review

Abstract

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 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.

Original languageEnglish
Pages (from-to)1026-1057
Number of pages32
JournalJournal of Fluid Mechanics
Volume864
DOIs
Publication statusPublished - 10 Apr 2019

Keywords

  • granular media
  • surface gravity waves

Fingerprint

Dive into the research topics of 'Application of the compressible I-dependent rheology to chute and shear flow instabilities'. Together they form a unique fingerprint.

Cite this