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A scaling law for the length of granular jumps down smooth inclines

Published online by Cambridge University Press:  10 October 2023

Andrés Escobar Open the ORCID record for Andrés Escobar [Opens in a new window] ,
François Guillard ,
Itai Einav  and
Thierry Faug Open the ORCID record for Thierry Faug [Opens in a new window]
Andrés Escobar
Affiliation:
Université Grenoble Alpes, CNRS, INRAE, IRD, Grenoble INP‡, IGE, 38000 Grenoble, France School of Civil Engineering, The University of Sydney, Sydney, NSW 2006, Australia
François Guillard
Affiliation:
School of Civil Engineering, The University of Sydney, Sydney, NSW 2006, Australia
Itai Einav
Affiliation:
School of Civil Engineering, The University of Sydney, Sydney, NSW 2006, Australia
Thierry Faug*
Affiliation:
Université Grenoble Alpes, CNRS, INRAE, IRD, Grenoble INP‡, IGE, 38000 Grenoble, France
*
†Email address for correspondence: thierry.faug@inrae.fr
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Abstract

Granular jumps commonly develop during granular flows over complex topographies or when hitting retaining structures. While this process has been well-studied for hydraulic flows, in granular flows such jumps remain to be fully explored, given the role of interparticle friction. Predicting the length of granular jumps is a challenging question, relevant to the design of protection dams against avalanches. In this study, we investigate the canonical case of standing jumps formed in granular flows down smooth inclines using extensive numerical simulations based on the discrete element method. We consider both two- and three-dimensional configurations and vary the chute bottom friction to account for the crucial interplay between the sliding along the smooth bottom and the shearing across the granular bulk above. By doing so, we derived a robust scaling law for the jump length that is valid over a wide range of Froude numbers and takes into account the influence of the packing density. The findings have potential implications on a number of situations encountered in industry as well as problems associated with natural hazards.

JFM classification

Granular media: Dry granular material Non-Newtonian Flows: Rheology Waves/Free-surface Flows: Channel flow
Type
JFM Rapids
Information
Journal of Fluid Mechanics , Volume 973 , 25 October 2023 , R1
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Copyright
© The Author(s), 2023. Published by Cambridge University Press

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Footnotes

‡

Institute of Engineering and Management Université Grenoble Alpes.

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