{
  "id": "2407.16573",
  "version": "v1",
  "published": "2024-07-23T15:27:26.000Z",
  "updated": "2024-07-23T15:27:26.000Z",
  "title": "Ultimate regime of Rayleigh-Benard turbulence: Sub-regimes and their scaling relations for Nu vs. Ra and Pr",
  "authors": [
    "Olga Shishkina",
    "Detlef Lohse"
  ],
  "comment": "14 pages, 2 figures",
  "categories": [
    "physics.flu-dyn"
  ],
  "abstract": "We offer a new model for the heat transfer and the turbulence intensity in strongly driven Rayleigh-Benard turbulence (the so-called ultimate regime), which in contrast to hitherto models is consistent with the new mathematically exact heat transfer upper bound of Choffrut et al. [J. Differential Equations 260, 3860 (2016)] and thus enables extrapolations of the heat transfer to geo- and astrophysical flows. The model distinguishes between four subregimes of the ultimate regime and well describes the measured heat transfer in various large-Ra experiments. In this new representation, which properly accounts for the Prandtl number dependence, the onset to the ultimate regime is seen in all available large-Ra data sets, though at different Rayleigh numbers, as to be expected for a non-normal-nonlinear instability.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-07-23T15:27:26.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "ultimate regime",
      "rayleigh-benard turbulence",
      "scaling relations",
      "exact heat transfer upper bound",
      "sub-regimes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}