Transport Processes as Foundations of the Heisenberg and Obukhoff Theories of Turbulence
- 1 January 1954
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 93 (1) , 4-14
- https://doi.org/10.1103/physrev.93.4
Abstract
The transfer of energy across the spectrum is investigated by the method of the harmonic analysis of the Navier-Stokes equation. The phase correlation which enters into the transfer is determined by the statistical considerations of transport processes. The results obtained allow a theoretical explanation to be given to the Heisenberg and Obukhoff postulates, delimiting the conditions of their applicability. By extending the above considerations of transport processes to shear flow, the production of turbulent energy from the mean flow is determined in spectral terms. As an application, the spectral laws for energy and shear are derived, and compared with measurements.Keywords
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