{
  "id": "physics/0110081",
  "version": "v1",
  "published": "2001-10-28T16:54:21.000Z",
  "updated": "2001-10-28T16:54:21.000Z",
  "title": "Drop Formation in a One-Dimensional Approximation of the Navier-Stokes Equation",
  "authors": [
    "Jens Eggers",
    "Todd F. Dupont"
  ],
  "journal": "published in Journal of Fluid Mechanics vol. 262, pp. 205-221 (1994)",
  "doi": "10.1017/S0022112094000480",
  "categories": [
    "physics.flu-dyn"
  ],
  "abstract": "We consider the viscous motion of a thin, axisymmetric column of fluid with a free surface. A one-dimensional equation of motion for the velocity and the radius is derived from the Navier-Stokes equation. We compare with recent experiments on the breakup of a liquid jet and on the bifurcation of a drop suspended from an orifice. The equations form singularities as the fluid neck is pinching off. The nature of the singularities is investigated in detail.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-10-28T16:54:21.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "navier-stokes equation",
      "one-dimensional approximation",
      "drop formation",
      "equations form singularities",
      "axisymmetric column"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}