{
  "annotation_id": "0c92efc2-6524-469a-8a34-c26a85d52f09",
  "date_created": "2026-03-02T18:00:46.858000Z",
  "date_modified": "2026-03-02T18:00:46.858000Z",
  "file_hash": "62daae882b372482501876633648d8d63086c9034634f35bf70b6d700ff39cd0",
  "private": false,
  "record": {
    "abstract": "The present paper develops an isothermal model for fast (high Deborah number)\ncontraction flows of polymers from a reservoir to a die of circular or\nrectangular cross-sections. Two components of composite flow models in\ndifferent regions of the flow domain are connected in succession with the use\nof asymptotic matching boundary conditions. These components are inhomogeneous\nelongation and a modified unsteady shearing. It is constructed based on a\nstable and descriptive set of viscoelastic constitutive equations with the\nspecified material parameters. The present model demonstrates a reasonable good\nagreement to the experimental/direct numerical data and improves for the higher\nvalues of Deborah number and contraction ratio cases without any adjustable\nparameters. Also it is applicable to any constitutive equation and performs\nwith easy PC numerical calculations.",
    "arxiv_id": "physics/0307059",
    "authors": [
      "Jae-Hyeuk Jeong",
      "Arkady I. Leonov"
    ],
    "categories": [
      "physics.flu-dyn"
    ],
    "title": "The Model of Fast Contraction Flows for Polymeric Melts",
    "url": "https://arxiv.org/abs/physics/0307059"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "d66baacc-1fad-4ed5-810a-6117abf05ef8",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}