{
  "annotation_id": "d76dc5d8-b364-4bdf-8a50-6309a394d740",
  "date_created": "2026-03-02T18:01:13.867000Z",
  "date_modified": "2026-03-02T18:01:13.867000Z",
  "file_hash": "5530843687705abe367a99407ee66d28a4b88580813da1202cf9b0e79f714edb",
  "private": false,
  "record": {
    "abstract": "Numerical and experimental studies of transitional pipe flow have shown the\nprevalence of coherent flow structures that are dominated by downstream\nvortices. They attract special attention because they contribute predominantly\nto the increase of the Reynolds stresses in turbulent flow. In the present\nstudy we introduce a convenient detector for these coherent states, calculate\nthe fraction of time the structures appear in the flow, and present a Markov\nmodel for the transition between the structures. The fraction of states that\nshow vortical structures exceeds 24% for a Reynolds number of about Re=2200,\nand it decreases to about 20% for Re=2500. The Markov model for the transition\nbetween these states is in good agreement with the observed fraction of states,\nand in reasonable agreement with the prediction for their persistence. It\nprovides insight into dominant qualitative changes of the flow when increasing\nthe Reynolds number.",
    "arxiv_id": "physics/0611020",
    "authors": [
      "Tobias M. Schneider",
      "Bruno Eckhardt",
      "Juergen Vollmer"
    ],
    "categories": [
      "physics.flu-dyn"
    ],
    "doi": "10.1103/PhysRevE.75.066313",
    "journal_ref": "Phys. Rev. E 75, 066313 (2007)",
    "title": "Statistical analysis of coherent structures in transitional pipe flow",
    "url": "https://arxiv.org/abs/physics/0611020"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "a6cccf7b-0a32-4186-8161-87141e2a3641",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}