{
  "annotation_id": "640cbc91-9c65-4a56-9896-777daf89f968",
  "date_created": "2026-03-02T18:01:14.529000Z",
  "date_modified": "2026-03-02T18:01:14.529000Z",
  "file_hash": "3596e75b1575abfc431f79f0bfdd3a4fc3d2c8f0fb98245a7f1bbddd322b466d",
  "private": false,
  "record": {
    "abstract": "In the present study, we use a fifth-order ordinary differential equation, a\ngeneralization of the Blasius equation derived from the Leray-alpha model, to\nexamine the transition to turbulence in rough-wall boundary-layer flows. This\nequation, combined with a weaker formulation of the von Karman log law modified\nto include the effects of surface roughness, provides a family of turbulent\nvelocity profiles with two free parameters: the momentum thickness based\nReynolds number and the roughness function. As a result, a skin-friction\ncorrelation is obtained and predictions of the transitional Reynolds numbers\nand maximal skin-friction values are made based on the roughness function.",
    "arxiv_id": "physics/0611001",
    "authors": [
      "Alexey Cheskidov",
      "Diana Ma"
    ],
    "categories": [
      "physics.flu-dyn"
    ],
    "title": "Leray-alpha model and transition to turbulence in rough-wall boundary   layers",
    "url": "https://arxiv.org/abs/physics/0611001"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ed3a3da1-3a26-48ad-b897-4f3600bb851a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}