{
  "id": "2310.08075",
  "version": "v1",
  "published": "2023-10-12T06:54:30.000Z",
  "updated": "2023-10-12T06:54:30.000Z",
  "title": "Turbulent properties of stationary flows in porous media",
  "authors": [
    "Florencia Falkinhoff",
    "Alexandre Ponomarenko",
    "Jean-Lou Pierson",
    "Lionel Gamet",
    "Romain Volk",
    "Mickaël Bourgoin"
  ],
  "comment": "9 pages, 11 figures, manuscript + supp mat",
  "categories": [
    "physics.flu-dyn"
  ],
  "abstract": "In this study, we investigated the flow dynamics in a fixed bed of hydrogel beads using Particle Tracking Velocimetry to compute the velocity field in the middle of the bed for moderate Reynolds numbers. We discovered that despite the overall stationarity of the flow and relatively low Reynolds number, it exhibits complex multiscale spatial dynamics reminiscent of those observed in classical turbulence. We found evidence of the presence of an inertial range and a direct energy cascade, and were able to obtain a value for a \"porous\" Kolmogorov constant of $C_2 = 3.1\\pm 0.3$. This analogy with turbulence opens up new possibilities for understanding mixing and global transport properties in porous media.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-10-12T06:54:30.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "porous media",
      "stationary flows",
      "turbulent properties",
      "complex multiscale spatial dynamics reminiscent",
      "relatively low reynolds number"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}