{
  "id": "1611.09076",
  "version": "v1",
  "published": "2016-11-28T11:26:20.000Z",
  "updated": "2016-11-28T11:26:20.000Z",
  "title": "Dynamics of large-scale quantities in Rayleigh-Bénard convection",
  "authors": [
    "Ambrish Pandey",
    "Abhishek Kumar",
    "Anando G. Chatterjee",
    "Mahendra K. Verma"
  ],
  "comment": "8 pages, 6 figures",
  "journal": "Phys. Rev. E 94, 053106 (2016)",
  "doi": "10.1103/PhysRevE.94.053106",
  "categories": [
    "physics.flu-dyn"
  ],
  "abstract": "In this paper we estimate the relative strengths of various terms of the Rayleigh-B\\'enard equations. Based on these estimates and scaling analysis, we derive a general formula for the large-scale velocity, $U$, or the P\\'eclet number that is applicable for arbitrary Rayleigh number $\\mathrm{Ra}$ and Prandtl number $\\mathrm{Pr}$. Our formula fits reasonably well with the earlier simulation and experimental results. Our analysis also shows that the wall-bounded convection has enhanced viscous force compared to free turbulence. We also demonstrate how correlations deviate the Nusselt number scaling from the theoretical prediction of $\\mathrm{Ra}^{1/2}$ to the experimentally observed scaling of nearly $\\mathrm{Ra}^{0.3}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-11-28T11:26:20.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "rayleigh-bénard convection",
      "large-scale quantities",
      "arbitrary rayleigh number",
      "general formula",
      "large-scale velocity"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. E"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}