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Immersed granular collapse: from viscous to free-fall unsteady granular flows

Published online by Cambridge University Press:  09 February 2021

Laurent Lacaze Open the ORCID record for Laurent Lacaze [Opens in a new window] ,
Joris Bouteloup ,
Benjamin Fry  and
Edouard Izard
Laurent Lacaze*
Affiliation:
Institut de Mécanique des Fluides de Toulouse (IMFT), Université de Toulouse, CNRS, Toulouse31400, France
Joris Bouteloup
Affiliation:
Institut de Mécanique des Fluides de Toulouse (IMFT), Université de Toulouse, CNRS, Toulouse31400, France
Benjamin Fry
Affiliation:
Institut de Mécanique des Fluides de Toulouse (IMFT), Université de Toulouse, CNRS, Toulouse31400, France
Edouard Izard
Affiliation:
Institut de Mécanique des Fluides de Toulouse (IMFT), Université de Toulouse, CNRS, Toulouse31400, France
*
†Email address for correspondence: [email protected]
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Abstract

The collapse of a granular column in a liquid is investigated using numerical simulations. From previous experimental studies, it has been established that the dynamics of the collapse is mostly influenced by the Stokes number $St$, comparing grain inertia and viscous fluid dissipation, and the initial volume fraction of the granular column $\phi _i$. However, the full characterization of the collapse in the $(St,\phi _i)$ plane is still missing, restricting its modelling as a physical process for geophysical applications. Only numerical tools can allow the variation over the parameter space $(St,\phi _i)$ that is hardly reachable in experiments as well as a full description of the granular phase that plays a major role in dense granular flows. For this purpose, a dedicated numerical model is used including a discrete element method to resolve the granular phase. The specific objectives of the paper are then twofold: (i) the characterization of the dynamics of the collapse and its final deposit with respect to $(St,\phi _i)$ to complement available experimental data, and (ii) the description of the granular rheology according to these two dimensionless numbers including dilatancy effects. A simple predictive model stems from the obtained results, allowing one to explain the evolution of the final deposit with $(St,\phi _i)$.

JFM classification

Granular media: Granular media Multiphase and Particle-laden Flows: Particle/fluid flow Non-Newtonian Flows: Rheology
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 912 , 10 April 2021 , A15
Copyright
© The Author(s), 2021. Published by Cambridge University Press

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