{
  "id": "1204.6465",
  "version": "v1",
  "published": "2012-04-29T09:35:39.000Z",
  "updated": "2012-04-29T09:35:39.000Z",
  "title": "Logarithmic temperature profiles in turbulent Rayleigh-Bénard convection",
  "authors": [
    "Guenter Ahlers",
    "Eberhard Bodenschatz",
    "Denis Funfschilling",
    "Siegfried Grossmann",
    "Xiaozhou He",
    "Detlef Lohse",
    "Richard J. A. M. Stevens",
    "Roberto Verzicco"
  ],
  "journal": "Phys. Rev. Lett. 109, 114501 (2012)",
  "doi": "10.1103/PhysRevLett.109.114501",
  "categories": [
    "physics.flu-dyn"
  ],
  "abstract": "We report results for the temperature profiles of turbulent Rayleigh-B\\'enard convection (RBC) in the interior of a cylindrical sample of aspect ratio $\\Gamma \\equiv D/L = 0.50$ ($D$ and $L$ are the diameter and height respectively). Results from experiment over the Rayleigh number range $4\\times 10^{12} \\alt Ra \\alt 10^{15}$ for a Prandtl number $\\Pra \\simeq 0.8$ and from direct numerical simulation (DNS) at $Ra = 2 \\times 10^{12}$ for $\\Pra = 0.7$ are presented. We find that the temperature varies as $A*ln(z/L) + B$ where $z$ is the distance from the bottom or top plate. This is the case in the classical as well as in the ultimate state of RBC. From DNS we find that $A$ in the classical state decreases in the radial direction as the distance from the side wall increases and becomes small near the sample center.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-04-29T09:35:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47.27.te",
      "47.20.Bp",
      "47.27.ek",
      "47.32.Ef"
    ],
    "keywords": [
      "turbulent rayleigh-bénard convection",
      "logarithmic temperature profiles",
      "turbulent rayleigh-benard convection",
      "side wall increases",
      "rayleigh number range"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review Letters",
      "year": 2012,
      "month": "Sep",
      "volume": 109,
      "number": 11,
      "pages": 114501
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012PhRvL.109k4501A"
    }
  }
}