Shock waves, dead zones and particle-free regions in rapid granular free-surface flows

J. M.N.T. Gray, Y. C. Tai, S. Noelle

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228 引文 斯高帕斯(Scopus)

摘要

Shock waves, dead zones and particle-free regions form when a thin surface avalanche of granular material flows around an obstacle or over a change in the bed topography. Understanding and modelling these flows is of considerable practical interest for industrial processes, as well as for the design of defences to protect buildings, structures and people from snow avalanches, debris flows and rockfalls. These flow phenomena also yield useful constitutive information that can be used to improve existing avalanche models. In this paper a simple hydraulic theory, first suggested in the Russian literature, is generalized to model quasi-two-dimensional flows around obstacles. Exact and numerical solutions are then compared with laboratory experiments. These indicate that the theory is adequate to quantitatively describe the formation of normal shocks, oblique shocks, dead zones and granular vacua. Such features are generated by the flow around a pyramidal obstacle, which is typical of some of the defensive structures in use today.

原文English
頁(從 - 到)161-181
頁數21
期刊Journal of Fluid Mechanics
發行號491
DOIs
出版狀態Published - 2003 九月 25

All Science Journal Classification (ASJC) codes

  • 凝聚態物理學
  • 材料力學
  • 機械工業

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