Stability analysis of rapid granular chute flows: formation of longitudinal vortices

DOI10.1017/S0022112002001581zbMath1029.76023arXivcond-mat/0108517OpenAlexW3103255347MaRDI QIDQ4797186

Y. Forterre, Olivier Pouliquen

Publication date: 2002

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/0108517

zbMATH Keywords

formation of longitudinal vorticeskinetic theorytransverse perturbationsthree-dimensional linear stability analysis

Mathematics Subject Classification ID

Hydrodynamic stability (76E99) Granular flows (76T25)

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Cellular automata model of gravity-driven granular flows ⋮ Application of the compressible -dependent rheology to chute and shear flow instabilities ⋮ Rapid granular flows down inclined planar chutes. Part 1. Steady flows, multiple solutions and existence domains ⋮ Rapid granular flows down inclined planar chutes. Part 2. Linear stability analysis of steady flow solutions ⋮ On the vortex formation at the moving front of lightweight granular particles ⋮ Weakly nonlinear theory of shear-banding instability in a granular plane Couette flow: analytical solution, comparison with numerics and bifurcation ⋮ Nonlinear stability and patterns in granular plane Couette flow: Hopf and pitchfork bifurcations, and evidence for resonance ⋮ Compressibility regularizes the 𝜇(I)-rheology for dense granular flows

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