Kolmogorov Capacities of Streamlines Around Turbulent Vortex Tubes

  • J. C. Vassilicos
  • James G. Brasseur
Conference paper
Part of the Fluid Mechanics and its Applications book series (FMIA, volume 36)

Abstract

Two issues relevant to small-scale turbulence are addressed together in this paper. Firstly, recent laboratory and numerical experiments have revealed the existence of vortex tubes in the small scales of the turbulence (see Viller meaux et al. (1995) and references therein). Secondly, Hunt & Vassilicos (1991) have shown that a self-similar high-wavenumber energy spectrum E(k) ~ ∽ k −2p with non-integral exponent p implies the existence of near singularities that cannot be near-discontinuities in the turbulent velocities or their derivatives. Kolmogorov’s self-similar spectrum E(k) ∽ k −5/3 corresponds to p = 5/6.

Keywords

Direct Numerical Simulation Isotropic Turbulence Vortex Tube Reynolds Number Turbulence Taylor Microscale 
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References

  1. Hunt J.C.R & Vassilicos J.C. (1991) Proc. R. Soc. Lond. A 434, 183–210ADSMATHCrossRefGoogle Scholar
  2. Vassilicos J.C. & Brasseur J.G. (1996) Phys. Rev. E (to appear)Google Scholar
  3. Vassilicos J.C & Hunt J.C.R (1991) Proc. R. Soc. Lond A 435, 505–534MathSciNetADSMATHCrossRefGoogle Scholar
  4. Villermeaux E., Sixou B. & Gagne Y (1995) Phys. Fluids 7 (8), 2008–2013MathSciNetADSCrossRefGoogle Scholar

Copyright information

© Kluwer Academic Publishers 1996

Authors and Affiliations

  • J. C. Vassilicos
    • 1
  • James G. Brasseur
    • 2
  1. 1.DAMTP University of CambridgeCambridgeUK
  2. 2.Department of Mechanical EngineeringThe Pennsylvania State universityUniversity ParkUSA

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