{
  "annotation_id": "75d2ebc6-aca5-4f1b-b00d-5d44377d8750",
  "date_created": "2026-03-02T18:00:43.264000Z",
  "date_modified": "2026-03-02T18:00:43.264000Z",
  "file_hash": "262bd4739740971d64481d0be44b6b78bd5ae84698b108f67d9c4b0b07c2dde5",
  "private": false,
  "record": {
    "abstract": "The influence of the small scale ``cellular\u0027\u0027 structure of premixed flames on\ntheir evolution at larger scales is investigated. A procedure of the space-time\naveraging of the flow variables over flame cells is introduced. It is proved\nthat to the leading order in the flame front thickness, the form of dynamical\nequations for the averaged gas velocity and pressure, as well as of jump\nconditions for these quantities at the flame front, is the same as in the case\nof a zero-thickness flame propagating in an ideal fluid at constant velocity\nwith respect to the fuel, equal to the adiabatic velocity of a plane flame\ntimes a factor describing increase of the flame front length due to the local\nfront wrinkling. As an application, the large scale evolution of a flame in the\ngravitational field is investigated. A weakly nonlinear non-stationary equation\nfor the averaged flame front position is derived. It is found that the leading\nnonlinear gravitational effects stabilize the flame propagating in the\ndirection of the field. The resulting stationary flame configurations are\ndetermined analytically.",
    "arxiv_id": "physics/0304111",
    "authors": [
      "Kirill A. Kazakov"
    ],
    "categories": [
      "physics.flu-dyn",
      "physics.class-ph"
    ],
    "title": "Large Scale Evolution of Premixed Flames",
    "url": "https://arxiv.org/abs/physics/0304111"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f2c537bc-7890-4cbe-a18b-80e49c7bc1af",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}