{
  "id": "1402.2798",
  "version": "v1",
  "published": "2014-02-12T12:09:31.000Z",
  "updated": "2014-02-12T12:09:31.000Z",
  "title": "Entropy and energy spectra in low-Prandtl-number convection with rotation",
  "authors": [
    "Hirdesh K. Pharasi",
    "Krishna Kumar",
    "Jayanta K. Bhattacharjee"
  ],
  "comment": "12 pages, 8 postscript figures, 1 table, A slightly modified version is to appear in Physical Review E",
  "journal": "Physical Review E 89, 023009 (2014)",
  "doi": "10.1103/PhysRevE.89.023009",
  "categories": [
    "physics.flu-dyn"
  ],
  "abstract": "We present results for entropy and kinetic energy spectra computed from direct numerical simulations for low-Prandtl-number ($Pr < 1$) turbulent flow in Rayleigh-B\\'{e}nard convection with uniform rotation about a vertical axis. The simulations are performed in a three-dimensional periodic box for a range of Taylor number ($ 0 \\leq Ta \\leq 10^8$) and reduced Rayleigh number $r = Ra/Ra_{\\circ} (Ta, Pr)$ ($1.0 \\times 10^2 \\le r \\le 5.0 \\times 10^3$). The Rossby number $Ro$ varies in the range $1.34 \\le Ro \\le 73$. The entropy spectrum $E_{\\theta}(k)$ shows bi-splitting into two branches for lower values of wave number $k$. The entropy in the lower branch scales with $k$ as $k^{-1.4\\pm 0.1}$ for $r > 10^3$ for the rotation rates considered here. The entropy in the upper branch also shows scaling behavior with $k$, but the scaling exponent decreases with increasing $Ta$ for all $r$. The energy spectrum $E_v(k)$ is also found to scale with the wave number $k$ as $k^{-1.4\\pm 0.1}$ for $r > 10^3$. The scaling exponent for the energy spectrum and the lower branch of the entropy spectrum vary between $-1.7$ to $-2.4$ for lower values of $r$ ($< 10^3$). We also provide some simple arguments based on the variation of the Kolmogorov picture to support the results of simulations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-02-12T12:09:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47.27.te",
      "47.27.ek",
      "47.32.Ef"
    ],
    "keywords": [
      "energy spectrum",
      "low-prandtl-number convection",
      "lower values",
      "wave number",
      "lower branch scales"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review E",
      "year": 2014,
      "month": "Feb",
      "volume": 89,
      "number": 2,
      "pages": "023009"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014PhRvE..89b3009P"
    }
  }
}