Linear stability analysis of rapid granular flow down a slope and density wave formation

Namiko Mitarai, Hiizu Nakanishi

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The linear stability of rapid granular flow down a slope under gravity to the longitudinal perturbations is analysed using hydrodynamic equations. It is demonstrated that the steady flow uniform along the flow direction becomes unstable to long-wavelength perturbations longitudinal to the flow direction for certain parameter ranges to form a density wave, in contrast to the finite-wavelength instability for transverse perturbations (Forterre and Pouliquen 2002). It is shown that the instability can be understood as the long-wave instability of kinematic waves in a quasi-one-dimensional system. The results are compared with our previous molecular dynamics simulations (Mitarai and Nakanishi 2001), where spontaneous density wave formation was found.

元の言語英語
ページ(範囲)309-334
ページ数26
ジャーナルJournal of Fluid Mechanics
発行部数507
DOI
出版物ステータス出版済み - 5 25 2004

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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