{
  "id": "1710.01261",
  "version": "v1",
  "published": "2017-10-03T16:22:28.000Z",
  "updated": "2017-10-03T16:22:28.000Z",
  "title": "Conditional statistics of supersonic turbulent boundary layer in the intermittent region",
  "authors": [
    "Xiaoshuai Wu",
    "Jianhan Liang",
    "Yuxin Zhao",
    "Marc Avila"
  ],
  "comment": "10 pages, 5 figures",
  "categories": [
    "physics.flu-dyn"
  ],
  "abstract": "The turbulence statistics of the intermittent region in a supersonic turbulent boundary layer are studied by direct numerical simulation. Recently, Kwon et al. (2016) have shown that this intermittent behavior, consisting of the coexistence of turbulent and non-turbulent flows separated by an interface, could result in perils when the traditional Reynolds decomposition is used to analyze data. Here, we extend the study of turbulent/non-turbulent interfaces to the supersonic regime and report turbulence statistics conditioned to the interface. We show that the mathematical artefact of the traditional Reynolds/Favre decomposition contaminates the Reynolds stresses and thermal statistics. Our conditional statistics provide direct evidence that turbulent flow possesses positive Reynolds shear stress everywhere, whereas non-turbulent flow carries zero Reynolds shear stress. The thermal statistics of turbulent and non-turbulent flows exhibit opposite trends in the intermittent region, and the difference can be traced back to the variation of total temperature resulting from the Prandtl number.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-10-03T16:22:28.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "supersonic turbulent boundary layer",
      "intermittent region",
      "conditional statistics",
      "zero reynolds shear stress",
      "carries zero reynolds shear"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}