{
  "id": "1612.08383",
  "version": "v1",
  "published": "2016-12-26T13:52:09.000Z",
  "updated": "2016-12-26T13:52:09.000Z",
  "title": "Viscous fingering and dendritic growth under an elastic membrane",
  "authors": [
    "Lucie Ducloue",
    "Andrew Hazel",
    "Draga Pihler-Puzovic",
    "Anne Juel"
  ],
  "categories": [
    "physics.flu-dyn"
  ],
  "abstract": "We investigate the viscous fingering instability that arises when air is injected from the end of an oil-filled, compliant channel. We show that induced axial and transverse depth gradients foster novel pattern formation. Moreover, the steady propagation of the interface allows us to elucidate the nonlinear saturation of a fingering pattern first observed in a time-evolving system (Pihler-Puzovic et al. PRL 108, 074502, 2012): the wavelength is set by the viscous fingering mechanism, but the amplitude is inversely proportional to the tangent of the compliant wall's inclination angle.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-12-26T13:52:09.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "viscous fingering",
      "dendritic growth",
      "elastic membrane",
      "transverse depth gradients foster novel",
      "gradients foster novel pattern formation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}