{
  "id": "physics/0201037",
  "version": "v1",
  "published": "2002-01-16T19:59:29.000Z",
  "updated": "2002-01-16T19:59:29.000Z",
  "title": "Scaling dependence on the fluid viscosity ratio in the selective withdrawal transition",
  "authors": [
    "Itai Cohen"
  ],
  "comment": "33 Pages, 61 figures, 1 table",
  "journal": "Phys. Rev. E 70, 026302 (2004)",
  "doi": "10.1103/PhysRevE.70.026302",
  "categories": [
    "physics.flu-dyn"
  ],
  "abstract": "In the selective withdrawal experiment fluid is withdrawn through a tube with its tip suspended a distance S above a two-fluid interface. At sufficiently low withdrawal rates, Q, the interface forms a steady state hump and only the upper fluid is withdrawn. When Q is increased (or S decreased), the interface undergoes a transition so that the lower fluid is entrained with the upper one, forming a thin steady-state spout. Near this transition the hump curvature becomes very large and displays power-law scaling behavior. This scaling allows for steady-state hump profiles at different flow rates and tube heights to be scaled onto a single similarity profile. I show that the scaling behavior is independent of the viscosity ratio.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-01-16T19:59:29.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fluid viscosity ratio",
      "selective withdrawal transition",
      "scaling dependence",
      "thin steady-state spout",
      "steady-state hump profiles"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. E"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 33,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}