{
  "id": "1103.3789",
  "version": "v2",
  "published": "2011-03-19T15:21:29.000Z",
  "updated": "2012-01-19T03:57:39.000Z",
  "title": "Field correlations and the ultimate regime of turbulent convection",
  "authors": [
    "Mahendra K. Verma",
    "Pankaj K. Mishra",
    "Ambrish Pandey",
    "Supriyo Paul"
  ],
  "comment": "4 pages, 4 figures",
  "journal": "Physical Review E 85, 016310 (2012)",
  "doi": "10.1103/PhysRevE.85.016310",
  "categories": [
    "physics.flu-dyn",
    "astro-ph.SR",
    "nlin.CD"
  ],
  "abstract": "Using direct numerical simulations of Rayleigh-B\\'{e}nard convection (RBC) under free-slip boundary condition, we show that the normalized correlation function between the vertical velocity field and the temperature field, as well as the normalized viscous dissipation rate, scales as $Ra^{-0.22}$ for moderately large Rayleigh number $Ra$. This scaling accounts for the Nusselt number ($Nu$) exponent to be around 0.3 observed in experiments. Numerical simulations also reveal that the above normalized correlation functions are constants for the convection simulation under periodic boundary conditions.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-01-19T03:57:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47.27.T-",
      "47.55.P-",
      "47.27.te"
    ],
    "keywords": [
      "ultimate regime",
      "field correlations",
      "turbulent convection",
      "normalized correlation function",
      "periodic boundary conditions"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. E"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 893287,
      "adsabs": "2011arXiv1103.3789V"
    }
  }
}