{
  "id": "1306.2921",
  "version": "v2",
  "published": "2013-06-12T18:47:46.000Z",
  "updated": "2014-02-12T12:00:21.000Z",
  "title": "Symmetry and plate-like convection in fluids with temperature-dependent viscosity",
  "authors": [
    "Jezabel Curbelo",
    "Ana M. Mancho"
  ],
  "comment": "19 pages, 8 figures. arXiv admin note: text overlap with arXiv:1302.0735",
  "journal": "Physics of Fluids 26, 016602 (2014)",
  "doi": "10.1063/1.4850296",
  "categories": [
    "physics.flu-dyn",
    "math-ph",
    "math.MP",
    "physics.geo-ph"
  ],
  "abstract": "We explore the instabilities developed in a fluid in which viscosity depends on temperature. In particular, we consider a dependency that models a very viscous (and thus rather rigid) lithosphere over a convecting mantle. To this end, we study a 2D convection problem in which viscosity depends on temperature by abruptly changing its value by a factor of 400 within a narrow temperature gap. We conduct a study which combines bifurcation analysis and time-dependent simulations. Solutions such as limit cycles are found that are fundamentally related to the presence of symmetry. Spontaneous plate-like behaviors that rapidly evolve towards a stagnant lid regime emerge sporadically through abrupt bursts during these cycles. The plate-like evolution alternates motions towards either the right or the left, thereby introducing temporary asymmetries on the convecting styles. Further time-dependent regimes with stagnant and plate-like lids are found and described.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-02-12T12:00:21.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "temperature-dependent viscosity",
      "plate-like convection",
      "viscosity depends",
      "2d convection problem",
      "narrow temperature gap"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AIP",
      "journal": "Physics of Fluids",
      "year": 2014,
      "month": "Jan",
      "volume": 26,
      "number": 1,
      "pages": "016602"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014PhFl...26a6602C"
    }
  }
}