Transverse Instability of Avalanches in Granular Flows down Incline
arXiv:cond-mat/0510081 · doi:10.1103/PhysRevE.73.050302
Abstract
Avalanche experiments on an erodible substrate are treated in the framework of ``partial fluidization'' model of dense granular flows. The model identifies a family of propagating soliton-like avalanches with shape and velocity controlled by the inclination angle and the depth of substrate. At high inclination angles the solitons display a transverse instability, followed by coarsening and fingering similar to recent experimental observation. A primary cause for the transverse instability is directly related to the dependence of soliton velocity on the granular mass trapped in the avalanche.
3 figures, 4 pages, submitted to Phys Rev Lett
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Cited by in corpus (8)
- Non-local rheology in dense granular flows -- Revisiting the concept of fluidity
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- Erosion waves: transverse instabilities and fingering
- Hydrodynamic instabilities in shear flows of cohesive granular particles
- Model for erosion-deposition patterns
- Admissibility of Solitary Wave Modes in Long-Runout Debris Flows
- Fluctuations of particle motion in granular avalanches - from the microscopic to the macroscopic scales