Non-local continuum modelling of steady, dense granular heap flows

Daren Liu; David L. Henann

doi:10.1017/jfm.2017.554

journal article Oct 13, 2017

Non-local continuum modelling of steady, dense granular heap flows

Daren Liu David L. Henann

Journal of Fluid Mechanics Vol. 831 pp. 212-227 · Cambridge University Press (CUP)

View at Publisher Save 10.1017/jfm.2017.554

Abstract

Dense granular heap flows are common in nature, such as during avalanches and landslides, as well as in industrial flows. In granular heap flows, rapid flow is localized near the free surface with the thickness of the rapidly flowing layer dependent on the overall flow rate. In the region deep beneath the surface, exponentially decaying creeping flow dominates with characteristic decay length depending only on the geometry and not the overall flow rate. Existing continuum models for dense granular flow based upon local constitutive equations are not able to simultaneously predict both of these experimentally observed features – failing to even predict the existence of creeping flow beneath the surface. In this work, we apply a scale-dependent continuum approach – the non-local granular fluidity model – to steady, dense granular flows on a heap between two smooth, frictional side walls. We show that the model captures the salient features of both the flow-rate-dependent, rapidly flowing surface layer and the flow-rate-independent, slowly creeping bulk under steady flow conditions.

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Details

Published: Oct 13, 2017
Vol/Issue: 831
Pages: 212-227
License: View

Authors

Cite This Article

Daren Liu, David L. Henann (2017). Non-local continuum modelling of steady, dense granular heap flows. Journal of Fluid Mechanics, 831, 212-227. https://doi.org/10.1017/jfm.2017.554

Non-local continuum modelling of steady, dense granular heap flows

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