{
  "id": "2006.10993",
  "version": "v1",
  "published": "2020-06-19T07:41:28.000Z",
  "updated": "2020-06-19T07:41:28.000Z",
  "title": "Scaling in Decaying Turbulence at High Reynolds Numbers",
  "authors": [
    "Christian Küchler",
    "Eberhard Bodenschatz",
    "Gregory P. Bewley"
  ],
  "comment": "9 pages, 5 figures",
  "categories": [
    "physics.flu-dyn"
  ],
  "abstract": "The way the increment statistics of turbulent velocity fluctuations scale with the increment size is a centerpiece of turbulence theories. We report data on decaying turbulence in the Max Planck Variable Density Turbulence Tunnel (VDTT), which show an approach of the inertial range statistics toward a nontrivial shape at small scales. By correcting for the contributions of energy decay to the large-scale statistics with a model, we find the scaling exponent of the second-order velocity increment statistics to be independent of the Reynolds number and equal to $0.693\\pm0.003$ for $2000\\lesssim R_{\\lambda} \\lesssim 6000$. This is evidence of a universal inertial range at high Reynolds numbers.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-06-19T07:41:28.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "high reynolds numbers",
      "decaying turbulence",
      "turbulent velocity fluctuations scale",
      "planck variable density turbulence tunnel",
      "inertial range"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}