Abstract
This paper deals with the asymptotic behavior of the spectral function when the wave number increases infinitely. The feasibility of using the results of this analysis in a study of the final time period during which a turbulence degenerates is also discussed.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Literature cited
A. A. Townsend, “On the fine-scale structure of turbulence,” Proc. Roy. Soc.,A208, No. 1095 (1951).
J. R. A. Pearson, “The effect of uniform distortion on weak homogeneous turbulence,” J. Fluid Mech.,15, part 2 (1959).
P. G. Saffman, “On the fine-scale structure of vector fields convected by a turbulent fluid,” J. Fluid Mech.,16, part 4 (1963).
E. A. Novikov, “On the energy spectrum of a turbulent flow in an incompressible fluid,” Dokl. Akad. Nauk SSSR,139, No. 2 (1961).
R. H. Kraichnan, “The structure of isotropic turbulence at very high Reynolds numbers,” J. Fluid Mech.,5, part 4 (1959).
A. S. Monin and A. M. Yaglom, Statistical Hydromechanics [in Russian], Izd. Nauka, Moscow (1965–1967), parts 1 and 2.
A. M. Yaglom, “Asymptotic behavior of the turbulence spectrum in various models of spectral energy transmission,” in: Problems in Hydrodynamics and in the Mechanics of Continuous Media [in Russian], Izd. Nauka, Moscow (1969).
H. W. Wyld, Jr., “Formulation of the theory of turbulence in an incompressible fluid,” Annals Phys.,14 (1961).
Author information
Authors and Affiliations
Additional information
Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 4, pp. 63–71, July–August 1971.
The author extends his gratitude to A. Z. Patashinskii for having stated the problem and for the valuable suggestions.
Rights and permissions
About this article
Cite this article
Kuz'min, G.A. Turbulence spectrum in the range of high wave numbers. J Appl Mech Tech Phys 12, 539–545 (1971). https://doi.org/10.1007/BF00851858
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00851858