{
  "annotation_id": "cbf9826b-044a-455c-a2b8-0acc67cc4f18",
  "date_created": "2026-03-02T18:00:52.890000Z",
  "date_modified": "2026-03-02T18:00:52.890000Z",
  "file_hash": "504d5e753c97e4cd74aaa8a8c015efde93c7e5338c08e98ffb2d8d56dd299f6e",
  "private": false,
  "record": {
    "abstract": "We consider pressure-driven, steady state Poiseuille flow in straight\nchannels with various cross-sectional shapes: elliptic, rectangular,\ntriangular, and harmonic-perturbed circles. A given shape is characterized by\nits perimeter P and area A which are combined into the dimensionless\ncompactness number C = P^2/A, while the hydraulic resistance is characterized\nby the well-known dimensionless geometrical correction factor alpha. We find\nthat alpha depends linearly on C, which points out C as a single dimensionless\nmeasure characterizing flow properties as well as the strength and\neffectiveness of surface-related phenomena central to lab-on-a-chip\napplications. This measure also provides a simple way to evaluate the hydraulic\nresistance for the various shapes.",
    "arxiv_id": "physics/0412015",
    "authors": [
      "Niels Asger Mortensen",
      "Fridolin Okkels",
      "Henrik Bruus"
    ],
    "categories": [
      "physics.flu-dyn",
      "cond-mat.soft"
    ],
    "doi": "10.1103/PhysRevE.71.057301",
    "journal_ref": "Phys. Rev. E 71, 057301 (2005)",
    "title": "Reexamination of Hagen-Poiseuille flow: shape-dependence of the   hydraulic resistance in microchannels",
    "url": "https://arxiv.org/abs/physics/0412015"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "6ec99fa3-8f11-474a-b645-3487a00132d3",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}