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Run-out scaling of granular column collapses on inclined planes

Published online by Cambridge University Press:  09 January 2025

Teng Man Open the ORCID record for Teng Man [Opens in a new window] ,
Herbert E. Huppert  and
Sergio A. Galindo-Torres Open the ORCID record for Sergio A. Galindo-Torres [Opens in a new window]
Teng Man
Affiliation:
College of Civil Engineering, Zhejiang University of Technology, 288 Liuhe Rd, Hangzhou, Zhejiang 310023, PR China Key Laboratory of Coastal Environment and Resources of Zhejiang Province (KLaCER), School of Engineering, Westlake University, 600 Dunyu Rd, Hangzhou, Zhejiang 310024, PR China
Herbert E. Huppert
Affiliation:
Institute of Theoretical Geophysics, King's College, University of Cambridge, King's Parade, Cambridge CB2 1ST, UK
Sergio A. Galindo-Torres*
Affiliation:
Key Laboratory of Coastal Environment and Resources of Zhejiang Province (KLaCER), School of Engineering, Westlake University, 600 Dunyu Rd, Hangzhou, Zhejiang 310024, PR China
*
†Email address for correspondence: s.torres@westlake.edu.cn
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Abstract

Granular column collapse is a simple but important problem to the granular material community, due to its links to dynamics of natural hazards, such as landslides and pyroclastic flows, and many industrial situations, as well as its potential of analysing transient and non-local rheology of granular flows. This article proposes a new dimensionless number to describe the run-out behaviour of granular columns on inclined planes based on both previous experimental data and dimensional analysis. With the assistance of the sphero-polyhedral discrete element method (DEM), we simulate inclined granular column collapses with different initial aspect ratios, particle contact properties and initial solid fractions on inclined planes with different inclination angles ($2.5^{\circ }\unicode{x2013}20.0^{\circ }$) to verify the proposed dimensional analysis. Detailed analyses are further provided for better understanding of the influence of different initial conditions and boundary conditions, and to help unify the description of the run-out scaling of systems with different inclination angles. This work determines the similarity and unity between granular column collapses on inclined planes and those on horizontal planes, and helps investigate the transient rheological behaviour of granular flows, which has direct relevance to various natural and engineering systems.

JFM classification

Granular media: Dry granular material Geophysical and Geological Flows: Gravity currents Granular media: Avalanches

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Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 1002 , 10 January 2025 , A50
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Copyright
© The Author(s), 2025. Published by Cambridge University Press

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