On the Anisotropy of Axisymmetric Strained Turbulence in the Dissipation Range

[+] Author and Article Information
J. Jovanović, I. Otić, P. Bradshaw

Lehrstuhl für Strömungsmechanik, Universität Erlangen-Nürnberg, Cauerstrasse 4, D-91058 Erlangen, Germany

J. Fluids Eng 125(3), 401-413 (Jun 09, 2003) (13 pages) doi:10.1115/1.1568355 History: Received February 27, 2002; Revised December 04, 2002; Online June 09, 2003
Copyright © 2003 by ASME
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Grahic Jump Location
Anisotropy invariant map and values of the invariant function A for the limiting states of turbulence, with coordinates of the vertices in parentheses
Grahic Jump Location
Distribution of the invariant function A in axisymmetric strained turbulence. Symbols are the DNS results of Rogallo 17 and Lee 30. The lines correspond to the suggested forms (43) for A ; [[dashed_line]], IIIa<0; –, IIIa<0.
Grahic Jump Location
Cross-plot of Pε2 as a function of Pε1 in axisymmetric strained turbulence from the data base of Rogallo 17. The slope of the straight line fitted through the numerical data is 1.12. The dashed line corresponds to the exact analytical solution given by (54).
Grahic Jump Location
Variation of ψ with IIa in axisymmetric contraction calculated from the DNS results of Rogallo 17
Grahic Jump Location
The pressure-strain correlations in axisymmetric strained turbulence. Symbols are the DNS results of Rogallo 17 and Lee 30. The lines correspond to the forms (86) and (87) suggested for Πijf. For large deformations and high Reynolds numbers Πijf represents the major contribution to the pressure-strain correlations.
Grahic Jump Location
History of the energy decay of homogeneous isotropic turbulence: •, Comte-Bellot and Corrsin 26; –, predictions
Grahic Jump Location
Histories of the energy decay of nearly homogeneous isotropic turbulence in uniform rotation. (a) •, Wigeland and Nagib 55, Ω=0; –, predictions; (b) •, Wigeland and Nagib 55, Ω=20 s−1 ; –, predictions; (c) •, Wigeland and Nagib 55, Ω=80 s−1 ; –, predictions.
Grahic Jump Location
Histories of the energy components during relaxation from the axisymmetric strain. (a) • v2, Uberoi 25, RM=UM/ν=3710, contraction=4:1; [[dashed_line]]u2, –v2, predictions; (b) • v2, Uberoi 25, RM=UM/ν=3710, contraction=9:1; [[dashed_line]]u2, –v2, predictions; (c) • v2, Uberoi 25, RM=UM/ν=6150, contraction=4:1; [[dashed_line]]u2, –v2, predictions; (d) • v2, Uberoi 25, RM=UM/ν=12300, contraction=4:1; [[dashed_line]]u2, –v2, predictions.
Grahic Jump Location
Variations of the energy components in axisymmetric contraction. (a) • v2, Tan-atichat 50, contraction=9:1, [[dashed_line]]u2, –v2, predictions. (b) • v2, Tan-atichat 50, contraction=9:1, [[dashed_line]]u2, –v2, predictions. (c) • v2, Tan-atichat 50, contraction=16:1, [[dashed_line]]u2, –v2, predictions.



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