{
  "annotation_id": "e3eedfd3-9be9-41df-b77f-cb66e5a3a6d5",
  "date_created": "2026-03-02T18:01:14.139000Z",
  "date_modified": "2026-03-02T18:01:14.139000Z",
  "file_hash": "ad938c22aee1e68377fab3b119ddc100215c2f076185a06f97d4a09ec8138910",
  "private": false,
  "record": {
    "abstract": "The instant Lagranian coordinator system is used to describe the fluid\nmaterial motion. By this way, the instant deformation gradient (expressed by\nspatial velocity gradient) concept is established. Based on this geometrical\nunderstanding, the strain rate and stress is expressed by local rotation tensor\nwhich is simply based on the fluid material kinetic energy concept (ruling out\nthe concept of fluid-stretching). For fluid filling-in experiments, the\ncharacteristic of turbulence is analyzed geometrically and, then, the\nNavier-Stokes equation is used to get the analytical solution in first-order\napproximation. For convenient the comprising with experiments, the related\ntypical values are given. As this solution is very basic, it can be expected be\nvaluable for industrial application.",
    "arxiv_id": "physics/0610215",
    "authors": [
      "Jianhua Xiao"
    ],
    "categories": [
      "physics.flu-dyn",
      "physics.class-ph"
    ],
    "title": "Rational Mechanics Theory of Turbulence",
    "url": "https://arxiv.org/abs/physics/0610215"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f0cfecf5-29a3-41bd-a901-e312d1da7553",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}