{
  "annotation_id": "3cb03f91-ba7f-49f8-874e-ddc284a094c0",
  "date_created": "2026-03-02T18:00:39.181000Z",
  "date_modified": "2026-03-02T18:00:39.181000Z",
  "file_hash": "47c2afa079d69ecb3f5988ce8b865b5d23efda856453a0c056e43def6f90028b",
  "private": false,
  "record": {
    "abstract": "We analyze the effect of frequency on the width of a single finger displacing\na viscoelastic fluid. We derive a generalized Darcy\u0027s law in the frequency\ndomain for a linear viscoelastic fluid flowing in a Hele Shaw cell. This leads\nto an analytic expression for the dynamic permeability that has maxima which\nare several orders of magnitude larger than the static permeability. We then\nfollow an argument of de Gennes to obtain the smallest possible finger width\nwhen viscoelasticity is important. Using this, and a conservation law, we\nobtain a lowest bound for the width of a single finger displacing a\nviscoelastic fluid. Our results indicate that when a small amplitude signal of\nthe frequency that maximizes the permeability is overimposed to a constant\npressure drop, gigantic variations are obtained for the finger width.",
    "arxiv_id": "physics/0208078",
    "authors": [
      "Eugenia Corvera Poire",
      "J. A. del Rio"
    ],
    "categories": [
      "physics.flu-dyn",
      "physics.geo-ph"
    ],
    "title": "Possible Gigantic Variations on the Width of Viscoelastic Fingers",
    "url": "https://arxiv.org/abs/physics/0208078"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "425a6582-f811-44ba-b696-aef9ae413c2c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}