{
  "id": "1610.03847",
  "version": "v1",
  "published": "2016-10-12T19:12:13.000Z",
  "updated": "2016-10-12T19:12:13.000Z",
  "title": "Mobility of an axisymmetric particle near an elastic interface",
  "authors": [
    "Abdallah Daddi-Moussa-Ider",
    "Maciej Lisicki",
    "Stephan Gekle"
  ],
  "comment": "Revised manuscript resubmitted to J. Fluid Mech",
  "categories": [
    "physics.flu-dyn",
    "cond-mat.soft"
  ],
  "abstract": "Using a fully analytical theory, we compute the leading order corrections to the translational, rotational and translation-rotation coupling mobilities of an arbitrary axisymmetric particle immersed in a Newtonian fluid moving near an elastic cell membrane that exhibits resistance towards stretching and bending. The frequency-dependent mobility corrections are expressed as general relations involving separately the particle's shape-dependent bulk mobility and the shape-independent parameters such as the membrane-particle distance, the particle orientation and the characteristic frequencies associated with shearing and bending of the membrane. This makes the equations applicable to an arbitrary-shaped axisymmetric particle provided that its bulk mobilities are known, either analytically or numerically. For a spheroidal particle, these general relations reduce to simple expressions in terms of the particle's eccentricity. We find that the corrections to the translation-rotation coupling mobility are primarily determined by bending, whereas shearing manifests itself in a more pronounced way in the rotational mobility. We demonstrate the validity of the analytical approximations by a detailed comparison with boundary integral simulations of a truly extended spheroidal particle. They are found to be in a good agreement over the whole range of applied frequencies.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-10-12T19:12:13.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "elastic interface",
      "translation-rotation coupling mobility",
      "particles shape-dependent bulk mobility",
      "spheroidal particle",
      "general relations reduce"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}