{
  "id": "1404.3459",
  "version": "v1",
  "published": "2014-04-14T04:26:44.000Z",
  "updated": "2014-04-14T04:26:44.000Z",
  "title": "Logarithmic temperature profiles of turbulent Rayleigh-Bénard convection in the classical and ultimate state for a Prandtl number of 0.8",
  "authors": [
    "Guenter Ahlers",
    "Eberhard Bodenschatz",
    "Xiaozhou He"
  ],
  "comment": "27 pages, 15 figures",
  "categories": [
    "physics.flu-dyn"
  ],
  "abstract": "We report on experimental determinations of the temperature field in the interior (bulk) of turbulent Rayleigh-Benard convection for a cylindrical sample with aspect ratio (diameter over height) of 0.50, both in the classical and in the ultimate state. The Prandtl number was close to 0.8. We find a \"logarithmic layer\" in which the temperature varies as A*ln(z/L) + B with the distance z from the bottom plate of the sample. The amplitude A varies with radial position r. In the classical state these results are in good agreement with direct numerical simulations (DNS); in the ultimate state there are as yet no DNS. A close analogy between the temperature field in the classical state and the \"Law of the Wall\" for the time-averaged down-stream velocity in shear flow is discussed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-04-14T04:26:44.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "turbulent rayleigh-bénard convection",
      "ultimate state",
      "logarithmic temperature profiles",
      "prandtl number",
      "temperature field"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1017/jfm.2014.543",
      "journal": "Journal of Fluid Mechanics",
      "year": 2014,
      "month": "Nov",
      "volume": 758,
      "pages": 436
    },
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014JFM...758..436A"
    }
  }
}