Abstract
It is shown that the multifractal model of fully developed turbulence predicts a new form of universality for the energy spectrum E(k), which can be tested experimentally. Denoting by R the Reynolds number, log E/logR should be a universal function of log k/log R. This includes an intermediate dissipation range in which a continuous range of multifractal scaling exponents are successively turned off by viscosity.
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References
Parisi G. and Frisch U., in Turbulence and Predictability in Geophysical Fluid Dynamics and Climate Dynamics, Proceedings of the International School of Physics «E. Fermi», Varenna, Italy, edited by M. Ghil, R. Benzi and G. Parisi, Course LXXXVIII (North-Holland, Amsterdam) 1985, p. 84.
Van Atta C. W. and Park J., in Statistical Models and Turbulence, edited by M. Rosenblatt and C. Van Atta (1972), 402.
Anselmet F., Gagne Y., Hopfinger E. J. and Antonia R. A., J. Fluid Mech.140 (1984) 63.
Mandelbrot B., J. Fluid Mech.62 (1974) 331.
Frisch U. and She Z. S., On the probability distribution function of velocity gradients in fully developed turbulence, submitted to Fluid Dynamics Res. (1990).
Paladin G. and Vulpiani A., Phys. Rev. A, 35 (1987) 1971.
Mandelbrot B., in Turbulence and Navier-Stokes Equation, edited by R. Teman, Lecture Notes in Math., Vol. 565 (Springer, Berlin) 1976, p. 121.
Monin A. S. and Yaglom A. M., Statistical Fluid Mechanics, Vol. 2, edited by J. Lumley (MIT Press, Cambridge, Mass.) 1975.
Nelkin M., Phys. Rev. A, in press (1990).
Bacry E., Arneodo A., Frisch U., Gagne Y. and Hopfinger E. J., Turbulence and Coherent Structures, edited by O. Métais and M. Lesieur (Kluwer Academic Publishers) 1990, p. 203.
Frisch U., in A. N. Kolmogorov, special issue of Proc. R. Soc. London, Ser. A (1991).
Aurell E., Frisch U., Lutsko J. and Vergassola M., unpublished (1990).
Frisch U. and Morf R., Phys. Rev. A.23 (1981) 2673.
Wu X. Z., Kadanoff L., Libchaber A. and Sano M., Phys. Rev. Lett.64 (1990) 2140.
Tabor M. and DE Gennes P. G., Europhys. Lett., 2 (1986) 519.
Gagne Y. and Castaing B., A universal nonglobally self-similar representation of the energy spectra in fully developed turbulence, submitted to C.R. Acad. Sci. Paris (1990).
Miles R. B., Connors J. J., Markovitz E. C., Howard P. J. and Roth G. J., Exp. Fluids, 8 (1989) 17.
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Frisch, U., Vergassola, M. (1993). A Prediction of the Multifractal Model: the Intermediate Dissipation Range. In: Dracos, T., Tsinober, A. (eds) New Approaches and Concepts in Turbulence. Monte Verità. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8585-0_3
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DOI: https://doi.org/10.1007/978-3-0348-8585-0_3
Publisher Name: Birkhäuser, Basel
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