{
  "id": "1604.03440",
  "version": "v1",
  "published": "2016-04-12T15:16:35.000Z",
  "updated": "2016-04-12T15:16:35.000Z",
  "title": "Capillary Breakup of a Liquid Bridge: Identifying Regimes and Transitions",
  "authors": [
    "Yuan Li",
    "James E. Sprittles"
  ],
  "comment": "Accepted for publication in the Journal of Fluid Mechanics",
  "categories": [
    "physics.flu-dyn",
    "cond-mat.mes-hall"
  ],
  "abstract": "Computations of the breakup of a liquid bridge are used to establish the limits of applicability of similarity solutions derived for different breakup regimes. These regimes are based on particular viscous-inertial balances, that is different limits of the Ohnesorge number $Oh$. To accurately establish the transitions between regimes, the minimum bridge radius is resolved through four orders of magnitude using a purpose-built multiscale finite element method. This allows us to construct a quantitative phase diagram for the breakup phenomenon which includes the appearance of a recently discovered low-$Oh$ viscous regime. The method used to quantify the accuracy of the similarity solutions allows us to identify a number of previously unobserved features of the breakup, most notably an oscillatory convergence towards the viscous-inertial similarity solution. Finally, we discuss how the new findings open up a number of challenges for both theoretical and experimental analysis.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-04-12T15:16:35.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "liquid bridge",
      "capillary breakup",
      "identifying regimes",
      "purpose-built multiscale finite element method",
      "transitions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}