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.
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References
Hunt J.C.R & Vassilicos J.C. (1991) Proc. R. Soc. Lond. A 434, 183–210
Vassilicos J.C. & Brasseur J.G. (1996) Phys. Rev. E (to appear)
Vassilicos J.C & Hunt J.C.R (1991) Proc. R. Soc. Lond A 435, 505–534
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© 1996 Kluwer Academic Publishers
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Vassilicos, J.C., Brasseur, J.G. (1996). Kolmogorov Capacities of Streamlines Around Turbulent Vortex Tubes. In: Gavrilakis, S., Machiels, L., Monkewitz, P.A. (eds) Advances in Turbulence VI. Fluid Mechanics and its Applications, vol 36. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-0297-8_41
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DOI: https://doi.org/10.1007/978-94-009-0297-8_41
Publisher Name: Springer, Dordrecht
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