Interaction of solid particles with a tangle of vortex filaments in a viscous fluid

Demosthenes Kivotides, Carlo F. Barenghi, Antony J. Mee, Yuri A. Sergeev

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Abstract

Homogeneous isotropic turbulence consists of coherent filamentary vortex structures superimposed to a more incoherent background. The question which we address is the effect of these structures on the dynamics of small, neutrally buoyant solid particles. Rather than generating the turbulence by direct numerical simulation (DNS) of the Navier-Stokes equations, we use a model of turbulence based entirely on viscous vortex filaments which interact via inertial forces and reconnect with each other. Using this model, we show that solid particles can become trapped around vortex filaments, something difficult to achieve with DNS. Unlike most studies, we have not neglected inviscid inertial effects. By comparing the Stokes, local, and convective components of the particle's acceleration, we also show that the convective part clearly identifies the trapping.
Original languageEnglish
Article number074501
Number of pages4
JournalPhysical Review Letters
Volume99
Issue number7
DOIs
Publication statusPublished - 13 Aug 2007

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Keywords

  • computer simulation
  • high energy physics
  • molecular dynamics
  • navier stokes equations
  • viscous flow

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