• Medientyp: E-Artikel
  • Titel: The dynamics of a viscous vortex dipole
  • Beteiligte: Delbende, Ivan; Rossi, Maurice
  • Erschienen: AIP Publishing, 2009
  • Erschienen in: Physics of Fluids
  • Sprache: Englisch
  • DOI: 10.1063/1.3183966
  • ISSN: 1070-6631; 1089-7666
  • Schlagwörter: Condensed Matter Physics ; Fluid Flow and Transfer Processes ; Mechanics of Materials ; Computational Mechanics ; Mechanical Engineering
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  • Beschreibung: <jats:p>The structure of a two-dimensional viscous dipole is accurately analyzed using both numerical simulations and theoretical analyses. First, a model is proposed, which computes the dipole velocity and the vortex ellipticity based on a heuristic relation between a vortex patch and a vortex with distributed vorticity profile. Second, during the stage where vortices are close to each other, a generalized self-similar solution is postulated to describe the vorticity profiles observed during the viscous spreading of the dipole. Numerical as well as theoretical considerations are given, which demonstrate the adequacy of such a hypothesis. Finally the structure of the tail that is generated behind the dipole is given in an analytical form, which favorably compares to numerical results.</jats:p>