Flow rule of dense granular flows down a rough incline

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dc.creatorBorzsonyi, Tamas
dc.creatorEcke, Robert E.
dc.date2007-03-05
dc.date2007-07-09
dc.date.accessioned2026-07-07T08:14:23Z
dc.date.available2026-07-07T08:14:23Z
dc.descriptionWe present experimental findings on the flow rule for granular flows on a rough inclined plane using various materials including sand and glass beads of various sizes and four types of copper particles with different shapes. We characterize the materials by measuring $h_s$ (the thickness at which the flow subsides) as a function of the plane inclination $θ$ on various surfaces. Measuring the surface velocity $u$ of the flow as a function of flow thickness $h$, we find that for sand and glass beads the Pouliquen flow rule $u/\sqrt{gh} \sim βh/h_s$ provides reasonable but not perfect collapse of the $u(h)$ curves measured for various $θ$ and mean particle diameter $d$. Improved collapse is obtained for sand and glass beads by using a recently proposed scaling of the form $u/\sqrt{gh} =β\cdot h \tan^2θ/h_s\ \tan^2θ_1$ where $θ_1$ is the angle at which the $h_s(θ)$ curves diverge. Measuring the slope $β$ for ten different sizes of sand and glass beads, we find a systematic, strong increase of $β$ with the divergence angle $θ_1$ of $h_s$. The copper materials with different shapes are not well described by either flow rule with $u \sim h^{3/2}$.
dc.description11 pages, 12 figures, submitted to PRE, added 1 figure, added 3 references
dc.identifierhttps://arxiv.org/abs/cond-mat/0703113
dc.identifierhttp://arxiv.org/abs/cond-mat/0703113
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/133102
dc.subjectSoft Condensed Matter
dc.titleFlow rule of dense granular flows down a rough incline
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