Abstract
The Lagrangian and Eulerian frequency spectrum in isotropic turbulence is considered without a mean flow, concentrating on its second moment, the mean-square acceleration. The pressure and viscous contributions are reviewed and the scaling properties of the advective term 〈[(v·∇)v] 2〉 are examined. Random sweeping from this term is shown to be dominant at large Reynolds numbers if the fluctuation spectrum of the kinetic energy v2(x) scales as k -5/3. If on the other hand it satisfies the same Kolmogorov scaling as the pressure going as k -7/3, then the recent renormalization group prediction of no sweeping is recovered. This question is subject to direct experimental resolution. The experiments of Van Atta and Wyngaard [J. Fluid Mech. 72, 673 (1975)] strongly indicate that the spectrum of v2 goes as k -5/3 at high Reynolds numbers, thereby supporting the sweeping hypothesis.
Original language | English (US) |
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Pages (from-to) | 81-83 |
Number of pages | 3 |
Journal | Physics of Fluids A |
Volume | 2 |
Issue number | 1 |
DOIs | |
State | Published - 1990 |
Externally published | Yes |
ASJC Scopus subject areas
- Engineering(all)