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Granular surface avalanching induced by drainage from a narrow silo

Published online by Cambridge University Press:  04 October 2018

C.-Y. Hung ,
P. Aussillous Open the ORCID record for P. Aussillous [Opens in a new window]  and
H. Capart Open the ORCID record for H. Capart [Opens in a new window]
C.-Y. Hung
Affiliation:
Department of Soil and Water Conservation, National Chung-Hsing University, Taichung 402, Taiwan
P. Aussillous
Affiliation:
Aix-Marseille University, CNRS, IUSTI, 13453 Marseille, France
H. Capart*
Affiliation:
Department of Civil Engineering and Hydrotech Research Institute, National Taiwan University, Taipei 106, Taiwan
*
†Email address for correspondence: [email protected]
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Abstract

Using theory and experiments, we investigate granular surface avalanching due to material outflow from a narrow silo. The assumed silo geometry is a deep rectangular box, of moderate spanwise width and small gap thickness between smooth front and back walls. A small orifice deep below the free surface lets grains drain out at a constant rate. The resulting granular flows can therefore be assumed quasi-two-dimensional and quasi-steady over most of the surface descent history. To model these flows, we couple a kinematic model of deep granular flow with a dynamic model of shallow surface avalanching. We then compare the calculated flow fields with detailed particle tracking measurements, letting the silo ascend relative to the high-speed camera to increase spatial resolution. The results show that the avalanching surface shape and near-surface flow are controlled by the spanwise gradient in subsidence velocity, and how this gradient is in turn controlled by the height above orifice and the gap thickness. Whereas the deep flow pattern is rate independent, shallow avalanching is paced by the granular rheology.

JFM classification

Complex Fluids: Complex Fluids Granular media: Granular media
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 856 , 10 December 2018 , pp. 444 - 469
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Copyright
© 2018 Cambridge University Press 

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