{
  "id": "2104.14883",
  "version": "v1",
  "published": "2021-04-30T10:11:57.000Z",
  "updated": "2021-04-30T10:11:57.000Z",
  "title": "Universal scaling for the onset of turbulence in particle-laden flows",
  "authors": [
    "Willian Hogendoorn",
    "Bidhan Chandra",
    "Christian Poelma"
  ],
  "comment": "5 pages, 3 figures",
  "categories": [
    "physics.flu-dyn"
  ],
  "abstract": "We propose a universal scaling law for the onset of turbulence in pipe flow of neutrally-buoyant suspensions. This scaling law, based on a large set of experimental data, relates the amplitude of the particle-induced perturbations ($\\epsilon$) to the critical suspension Reynolds number, $Re_{s,c}$. Here $\\epsilon$ is a function of the particle-to-pipe diameter ratio and the volume fraction of the suspended particles, $\\epsilon = (d/D)^{1/2} \\phi^{1/6}$. $Re_{s,c}$ is found to scale as $\\epsilon^{-1}$, suggesting a balance between inertial and viscous forces. Furthermore, the perturbation amplitude allows a distinction between classical, intermediate and particle induced transition.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-04-30T10:11:57.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "particle-laden flows",
      "turbulence",
      "particle-to-pipe diameter ratio",
      "critical suspension reynolds number",
      "universal scaling law"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}