 | | Journal of Applied
Mathematics and Mechanics
Russian Academy of Sciences | | Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
(print version) |
Archive of Issues
| Total articles in the database: | | 10512 |
| In Russian (ΟΜΜ): | | 9713
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| 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, teodor@ipmnet.ru) |
| 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 |
| Link to Fulltext |
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