{
  "id": "1410.8659",
  "version": "v1",
  "published": "2014-10-31T07:48:40.000Z",
  "updated": "2014-10-31T07:48:40.000Z",
  "title": "Scaling properties of viscous fingering",
  "authors": [
    "Bertrand Lagrée",
    "Stéphane Zaleski",
    "Igor Bondino",
    "Christophe Josserand",
    "Stéphane Popinet"
  ],
  "categories": [
    "physics.flu-dyn"
  ],
  "abstract": "We present a study of viscous fingering using the Volume Of Fluid method and a central injection geometry, assuming a Laplacian field and a simple surface tension law. As in experiments we see branched structures resulting from the Saffman-Taylor instability. We find that the area $A$ of a viscous-fingering cluster varies as a simple power law $A \\sim L^{\\alpha}$ of its interface length $L$. Our results are compared to previously published simulations in which the viscosity of the invading fluid is vanishing. We find differences in exponent $\\alpha$ and in the appearance of detached droplets and bubbles.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-10-31T07:48:40.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "viscous fingering",
      "scaling properties",
      "simple surface tension law",
      "central injection geometry",
      "simple power law"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1410.8659L"
    }
  }
}