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Russian Academy of Sciences
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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, 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 https://www.sciencedirect.com/science/article/pii/S0021892818300236
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