- Title
- Boundedness of the velocity derivative skewness in various turbulent flows
- Creator
- Antonia, R. A.; Tang, S. L.; Djenidi, L.; Danaila, L.
- Relation
- ARC.DP120102356
- Relation
- Journal of Fluid Mechanics Vol. 781, p. 727-744
- Publisher Link
- http://dx.doi.org/10.1017/jfm.2015.539
- Publisher
- Cambridge University Press
- Resource Type
- journal article
- Date
- 2015
- Description
- The variation of S, the velocity derivative skewness, with the Taylor microscale Reynolds number Reλ is examined for different turbulent flows by considering the locally isotropic form of the transport equation for the mean energy dissipation rate ⋷iso. In each flow, the equation can be expressed in the form S + 2G/Reλ = C/Reλ, where G is a non-dimensional rate of destruction of ⋷iso and C is a flow-dependent constant. Since 2G/Reλ is found to be very nearly constant for Reλ ≥ 70, S should approach a universal constant when Reλ is sufficiently large, but the way this constant is approached is flow dependent. For example, the approach is slow in grid turbulence and rapid along the axis of a round jet. For all the flows considered, the approach is reasonably well supported by experimental and numerical data. The constancy of S at large Reλ has obvious ramifications for small-scale turbulence research since it violates the modified similarity hypothesis introduced by Kolmogorov (J. Fluid Mech., vol. 13, 1962, pp. 82-85) but is consistent with the original similarity hypothesis (Kolmogorov, Dokl. Akad. Nauk SSSR, vol. 30, 1941, pp. 299-303).
- Subject
- turbulence theory; turbulent flows
- Identifier
- http://hdl.handle.net/1959.13/1329896
- Identifier
- uon:26268
- Identifier
- ISSN:0022-1120
- Rights
- This article has been published in a revised form in Journal of Fluid Mechanics http://dx.doi.org/10.1017/jfm.2015.539 This version is free to view and download for private research and study only. Not for redistribution, re-sale or use in derivative works. ©2015 Cambridge University Press.
- Language
- eng
- Full Text
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