{
  "id": "1509.04873",
  "version": "v1",
  "published": "2015-09-16T10:20:07.000Z",
  "updated": "2015-09-16T10:20:07.000Z",
  "title": "Power exponential velocity distributions in disordered porous media",
  "authors": [
    "Maciej Matyka",
    "Jarosław Gołembiewski",
    "Zbigniew Koza"
  ],
  "comment": "4 pages, 3 figures",
  "categories": [
    "physics.flu-dyn"
  ],
  "abstract": "Velocity distribution functions link the micro- and macro-level theories of fluid flow through porous media. Here we study them for the fluid absolute velocity and its longitudinal and lateral components relative to the macroscopic flow direction in a model of a random porous medium. We claim that all distributions follow the power exponential law controlled by an exponent $\\gamma$ and a shift parameter $u_0$ and examine how these parameters depend on the porosity. We find that $\\gamma$ has a universal value $1/2$ at the percolation threshold and grows with the porosity, but never exceeds 2.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-09-16T10:20:07.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "porous medium",
      "power exponential velocity distributions",
      "disordered porous media",
      "velocity distribution functions link",
      "macroscopic flow direction"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}