{
  "id": "2211.14841",
  "version": "v1",
  "published": "2022-11-27T14:43:02.000Z",
  "updated": "2022-11-27T14:43:02.000Z",
  "title": "Patterns in transitional shear flows. Part 1. Energy transfers and mean-flow interaction",
  "authors": [
    "S. Gomé",
    "L. S. Tuckerman",
    "D. Barkley"
  ],
  "comment": "29 pages, 15 figures",
  "categories": [
    "physics.flu-dyn",
    "nlin.PS"
  ],
  "abstract": "Low Reynolds number turbulence in wall-bounded shear flows en route to laminar flow takes the form of localised turbulent structures. In plane shear flows, these appear as a regular alternation of turbulent and quasi-laminar flow. Both the physical and the spectral energy balance of a turbulent-laminar pattern are computed and compared to those of uniform turbulence at low $Re$. In the patterned state, the mean flow is strongly modulated and is fuelled by two mechanisms: primarily, the nonlinear self-interaction of the mean flow (via mean advection), and, secondly, the extraction of energy from turbulent fluctuations (via negative production, associated to a strong energy transfer from small to large scales). These processes are surveyed as uniform turbulence loses its stability. Inverse energy transfers and negative production are also found in the uniformly turbulent state.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-11-27T14:43:02.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "transitional shear flows",
      "mean-flow interaction",
      "low reynolds number turbulence",
      "mean flow",
      "uniform turbulence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 29,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}