{
  "id": "1611.09349",
  "version": "v1",
  "published": "2016-11-26T10:45:21.000Z",
  "updated": "2016-11-26T10:45:21.000Z",
  "title": "Chaotic sedimentation of particle pairs in a vertical channel at low Reynolds number: multiple states and routes to chaos",
  "authors": [
    "Romuald Verjus",
    "Sylvain Guillou",
    "Alexander Ezersky",
    "Jean-Régis Angilella"
  ],
  "categories": [
    "physics.flu-dyn",
    "nlin.CD"
  ],
  "abstract": "The sedimentation of a pair of rigid circular particles in a two-dimensional vertical channel containing a Newtonian fluid is investigated numerically, for terminal particle Reynolds numbers ranging from 1 to 10, and for a confinement ratio equal to 4. While it is widely admitted that sufficiently inertial pairs should sediment by performing a regular DKT oscillation (Drafting-Kissing-Tumbling), the present analysis shows in contrast that a chaotic regime can also exist for such particles, leading to a much slower sedimentation velocity. It consists of a nearly horizontal pair, corresponding to a maximum effective blockage ratio, and performing a quasiperiodic transition to chaos under increasing the particle weight. For less inertial regimes, the classical oblique doublet structure and its complex behavior (multiple stable states and hysteresis, period-doubling cascade and chaotic attractor) are recovered, in agreement with previous work [Aidun & Ding, Physics of Fluids 15(6), 2003]. As a consequence of these various behaviors, the link between the terminal Reynolds number and the non-dimensional driving force is complex: it contains several branches displaying hysteresis as well as various bifurcations. For the range of Reynolds number considered here, a global bifurcation diagram is given.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-11-26T10:45:21.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "low reynolds number",
      "vertical channel",
      "multiple states",
      "particle pairs",
      "chaotic sedimentation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}