{
  "id": "physics/0511175",
  "version": "v1",
  "published": "2005-11-20T01:26:26.000Z",
  "updated": "2005-11-20T01:26:26.000Z",
  "title": "A viscous compressible model of soap film flow and its equivalence with the Navier-Stokes equations",
  "authors": [
    "Petri Fast"
  ],
  "comment": "Submitted to Physics of Fluids. Total of 8 pages: 2 page cover, 4 pages of text, and a 2 page supplement. No figures",
  "categories": [
    "physics.flu-dyn"
  ],
  "abstract": "We present a quasi-two dimensional model of flowing soap films that bears striking similarity to the compressible Navier-Stokes equations. The variation in soap film thickness that is commonly used for flow visualization in experiments is analogous to density variations in the Navier-Stokes equations. When the soap film flow velocity is comparable to the Marangoni elastic wave velocity we recover the compressible Navier-Stokes equations and the soap film behaves like a two-dimensional isothermal viscous gas.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-11-20T01:26:26.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "viscous compressible model",
      "compressible navier-stokes equations",
      "equivalence",
      "marangoni elastic wave velocity",
      "soap film flow velocity"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005physics..11175F"
    }
  }
}