{
  "id": "1911.02513",
  "version": "v1",
  "published": "2019-11-03T09:11:40.000Z",
  "updated": "2019-11-03T09:11:40.000Z",
  "title": "A Kinetic Equation for Particle Transport in Turbulent Flows",
  "authors": [
    "De-yu Zhong",
    "Guang-qian Wang",
    "Tie-jian Li",
    "Ming-xi Zhang",
    "You Xia"
  ],
  "categories": [
    "cond-mat.stat-mech",
    "physics.flu-dyn"
  ],
  "abstract": "One key issue in the probability density function (PDF) approach for disperse two-phase turbulent flows is to close the diffusion term in the phase space. This study aimed to derive a kinetic equation for particle dispersion in turbulent flows by ensemble averaging over all possible realisations of state transition paths in the phase space. The probability density function is expanded as a series in terms of the cumulants of particle paths in the phase space, by introducing a local path density operator to identify the distribution of particle paths. The expansion enables us to directly obtain a kinetic equation with the diffusion term in closed form. The kinetic equation derived in this study has following features that: (1) it has its coefficients expressed as functions of the cumulants of particle paths in the phase space; (2) it applies to particle dispersion by non-Gaussian random forcing with long correlation time scales; (3) it presents new mechanisms responsible for particle diffusion. An application of the kinetic equation is also presented in this paper.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-11-03T09:11:40.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "kinetic equation",
      "particle transport",
      "phase space",
      "probability density function",
      "particle paths"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}