{
  "id": "cond-mat/0303543",
  "version": "v2",
  "published": "2003-03-26T06:44:41.000Z",
  "updated": "2003-09-15T03:11:09.000Z",
  "title": "Linear stability analysis of rapid granular flow on a slope and density wave formation",
  "authors": [
    "Namiko Mitarai",
    "Hiizu Nakanishi"
  ],
  "comment": "25 pages, 15 figures, submitted to J. Fluid Mech.; larger parameter range investigated, discussions revised",
  "journal": "J. Fluid Mech. 507, 309 (2004).",
  "doi": "10.1017/S002211200400881X",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.soft"
  ],
  "abstract": "The linear stability of rapid granular flow on a slope under gravity against the longitudinal perturbation is analyzed using hydrodynamic equations. It is demonstrated that the steady flow uniform along the flow direction becomes unstable against the long-wavelength perturbations longitudinal to the flow direction for certain parameter ranges to form the density wave, in contrast with the finite wavelength instability against the transverse perturbation (Forterre & Pouliquen 2002). It is shown that the instability can be understood as the the long-wave instability of the kinematic waves in a quasi-one dimensional system. The results are compared with our previous molecular dynamics simulations (Mitarai & Nakanishi 2001), where the spontaneous density wave formation has been found.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2003-09-15T03:11:09.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "rapid granular flow",
      "linear stability analysis",
      "flow direction",
      "quasi-one dimensional system",
      "perturbation"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}