{
  "annotation_id": "4fceae01-8254-4f68-b485-1c8fcdbae55c",
  "date_created": "2026-03-02T18:01:11.496000Z",
  "date_modified": "2026-03-02T18:01:11.496000Z",
  "file_hash": "8e9b17fda9b5433d985a285dffa730fc91b5ccbcd7ef55e362db2a13ed30f21b",
  "private": false,
  "record": {
    "abstract": "This paper studies the nature of the effective velocity boundary conditions\nfor liquid flow over a plane boundary on which small free-slip islands are\nrandomly distributed. It is found that, to lowest order in the area fraction\n$\\beta$ covered by free-slip regions with characteristic size $a$, a\nmacroscopic Navier-type slip condition emerges with a slip length of the order\nof $a\\beta$. The study is motivated by recent experiments which suggest that\ngas nano-bubbles may form on solid walls and may be responsible for the\nappearance of a partial slip boundary conditions for liquid flow. The results\nare also relevant for ultra-hydrophobic surfaces exploiting the so-called\n``lotus effect\u0027\u0027.",
    "arxiv_id": "physics/0607003",
    "authors": [
      "M. Sbragaglia",
      "A. Prosperetti"
    ],
    "categories": [
      "physics.flu-dyn",
      "cond-mat.stat-mech",
      "nlin.PS"
    ],
    "doi": "10.1017/S0022112007005149",
    "journal_ref": "J. Fluid Mech. 578, 435-451 (2007)",
    "title": "Effective velocity boundary condition at a mixed slip surface",
    "url": "https://arxiv.org/abs/physics/0607003"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "6e828dc4-18af-4e97-b40f-6696876f5381",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}