{
  "id": "1708.08645",
  "version": "v1",
  "published": "2017-08-29T08:53:34.000Z",
  "updated": "2017-08-29T08:53:34.000Z",
  "title": "Resonance properties of forced oscillations of particles and gaseous bubbles in a viscous fluid at small Reynolds numbers",
  "authors": [
    "Yury A. Stepanyants",
    "Hassan K. Hassan"
  ],
  "comment": "12 pages, 3 figures",
  "categories": [
    "physics.flu-dyn"
  ],
  "abstract": "We consider small oscillations of micro-particles and gaseous bubbles in viscous fluid around equilibrium states under the action of a sinusoidal external force. Exact solutions to the governing integro-differential equations containing both Stokes and memory-integral drag forces are obtained. The main aim of this study is to clarify the influence of the memory-integral drag force on the resonance characteristics of oscillating particles or gaseous bubbles in a viscous fluid at small Reynolds numbers. The resonant curves (amplitude versus frequency of external force), as well as phase-frequency dependences are obtained for both these objects and compared with the corresponding dependences of the traditional oscillator with the Stokes drag force only.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-08-29T08:53:34.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "small reynolds numbers",
      "gaseous bubbles",
      "viscous fluid",
      "resonance properties",
      "forced oscillations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}