{
  "annotation_id": "ac4b9a84-7c91-4a4b-856e-06ff92144a4c",
  "date_created": "2026-03-02T18:00:49.907000Z",
  "date_modified": "2026-03-02T18:00:49.907000Z",
  "file_hash": "0f04e6e7f543cdd5ca57adc47fb437f4dd84049c842a1816ca3898457a6085f0",
  "private": false,
  "record": {
    "abstract": "We report an experimental study of the deformation of the free surface of a\nvery viscous fluid when drained out of a container through a circular orifice.\nAt some critical height of the fluid, the free surface deforms and forms a\ndimple. At later times, this dimple becomes a cusp. We found that the height of\nthe dimple measured from the bottom of the tank as well as the curvature of the\ndimple before the cusp formation, follows power laws behaviors. We found that\nthis behavior was due to an interplay between viscous pressure and surface\ntension",
    "arxiv_id": "physics/0404088",
    "authors": [
      "Sahraoui Chaieb"
    ],
    "categories": [
      "physics.flu-dyn",
      "physics.class-ph"
    ],
    "title": "Free Surface Deformation and Cusp Formation During the Drainage of a   Very Viscous Fluid",
    "url": "https://arxiv.org/abs/physics/0404088"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "bfc3f955-a81d-4b14-b23d-200355243ba7",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}