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Some characteristics of small-scale turbulence in a turbulent duct flow

Published online by Cambridge University Press:  26 April 2006

R. A. Antonia ,
J. Kim  and
L. W. B. Browne
R. A. Antonia
Affiliation:
Department of Mechanical Engineering, University of Newcastle, NSW 2308, Australia
J. Kim
Affiliation:
Center for Turbulence Research, NASA-Ames Research Center, Moffett Field, CA 94035, USA
L. W. B. Browne
Affiliation:
Department of Mechanical Engineering, University of Newcastle, NSW 2308, Australia
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Abstract

The fine-scale structure of turbulence in a fully developed turbulent duct flow is examined by considering the three-dimensional velocity derivative field obtained from direct numerical simulations at two relatively small Reynolds numbers. The magnitudes of all mean-square derivatives (normalized by wall variables) increase with the Reynolds number, the increase being largest at the wall. These magnitudes are not consistent with the assumption of local isotropy except perhaps near the duct centre-line. When the assumption of local isotropy is relaxed to one of local axisymmetry, or invariance with respect to rotation about a coordinate axis (here chosen in the streamwise direction), satisfactory agreement is indicated by the data outside the wall region. Support for axisymmetry is demonstrated by anisotropy invariant maps of the dissipation and vorticity tensors. The departure from axisymmetry does not appear to be affected by the Reynolds number. Expressions are proposed for approximations to the average energy dissipation and components of the mean-square vorticity. These proposals should allow these quantities to be measured accurately, at least in the present flow.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 233 , December 1991 , pp. 369 - 388
Copyright
© 1991 Cambridge University Press

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