{
  "annotation_id": "e10eb6b4-5fcd-4153-8102-7860a2fc5a21",
  "date_created": "2026-03-02T18:00:42.733000Z",
  "date_modified": "2026-03-02T18:00:42.733000Z",
  "file_hash": "acac6b4574ad55bac3183775f4a309c0cbcb3c48c8f16cd8c4014afd0e4e5dd7",
  "private": false,
  "record": {
    "abstract": "The identification of stream in the straight pipe as a flexible rod has\nallowed to present the criterion expression for determination of transition of\nthe laminar flow regime to the turbulent as a loss of stability of the\nrectilinear static structure of translational motion of stream in pipe and its\ntransition to the flexural-vortical dynamic structure of translational motion,\njust as a flexible rod buckling. The introduced criterion allows to take into\naccount an influencing of the inlet geometry, the pipe length, the flow\nvelocity, and also of any physical factors on stability of the rectilinear flow\nstructure. It is ascertained, that Reynolds number is the number of local\nhydrodynamic similarity and it is displayed that one is constituent part of the\nintroduced stability criterion. The developed approach to a problem of\nstability is applicable for a problem solving on internal flow and external\nstreamline.",
    "arxiv_id": "physics/0303071",
    "authors": [
      "S. L. Arsenjev",
      "I. B. Lozovitski",
      "Y. P. Sirik"
    ],
    "categories": [
      "physics.flu-dyn"
    ],
    "title": "The laminar flow instability criterion and turbulence in pipe",
    "url": "https://arxiv.org/abs/physics/0303071"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "5eba7d18-9fae-4620-a105-e8b7c852ba70",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}