{
  "id": "1501.00366",
  "version": "v1",
  "published": "2015-01-02T08:52:29.000Z",
  "updated": "2015-01-02T08:52:29.000Z",
  "title": "Viscosity-Stratified Flow in a Hele-Shaw Cell",
  "authors": [
    "Alexander Chesnokov",
    "Valery Liapidevskii"
  ],
  "categories": [
    "physics.flu-dyn"
  ],
  "abstract": "A hierarchy of mathematical models describing viscosity-stratified flow in a Hele-Shaw cell is constructed. Numerical modelling of jet flow and development of viscous fingers with the influence of the forces of inertia and friction is carried out. One-dimensional multi-layer flows are studied. In the framework of three-layer flow scheme the interpretation of the Saffman--Taylor instability is given. A kinematic model of viscous fingering taking into account the formation of the intermediate mixing layer is proposed. Comparison with calculations on the basis of two-dimensional equations shows that this model allows one to determine the velocity of propagation and the thickness of the viscous fingers.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-01-02T08:52:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "76T20",
      "35L60"
    ],
    "keywords": [
      "hele-shaw cell",
      "viscous fingers",
      "one-dimensional multi-layer flows",
      "three-layer flow scheme",
      "jet flow"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150100366C"
    }
  }
}