Linear stability analysis of rapid granular flow on a slope and density wave formation
نویسنده
چکیده
The linear stability of rapid granular flow on a slope under gravity is analyzed using hydrodynamic equations. It is demonstrated that the steady uniform flow becomes unstable against the long-wavelength perturbations longitudinal to the flow direction for a certain parameter range to form the density wave. The results are compared with our previous molecular dynamics simulations (Mitarai & Nakanishi 2001), where the spontaneous density wave formation has been found.
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