Journal of Applied Mathematics and Mechanics (about journal) Journal of Applied
Mathematics and Mechanics

Russian Academy of Sciences
in January 1936
(Translated from 1958)
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ISSN 0021-8928
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IssuesArchive of Issues2017-6pp.450-454

Archive of Issues

Total articles in the database: 1813
In Russian (): 1014
In English (J. Appl. Math. Mech.): 799

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E.V. Teodorovich, "Energy spectrum of turbulent velocity pulsations in a wide range of wave numbers (renorm-group approach)," J. Appl. Math. Mech. 81 (6), 450-454 (2017)
Year 2017 Volume 81 Issue 6 Pages 450-454
DOI 10.1016/j.jappmathmech.2018.03.013
Title Energy spectrum of turbulent velocity pulsations in a wide range of wave numbers (renorm-group approach)
Author(s) E.V. Teodorovich (Ishlinsky Institute for Problems in Mechanics, of the Russian Academy of Sciences, Moscow, Russia,
Abstract Based on the concept of cascade mechanism of energy transfer over the wave-number spectrum and related to the locality property of intermodal interactions forming the energy spectrum, the unified formula for spectral energy density is obtained that is valid in a wide range of wave numbers including both inertial and dissipation ranges. The form of the spectrum is governed by three parameters, namely, a value of wave number chosen as the normalization point assigned to the edge of the domain of the stochasticity emergence due to the development of instability of large-scale flows and the turbulent energy production, the spectral energy flux through the boundary of energy production domain in the wave-number space (the energy pumping rate), and the fluid kinematic viscosity.
Received 11 June 2017
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