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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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References

Antonia, R. A., Anselmet, F. & Chambers, A. J. 1986 Assessment of local isotropy using measurements in a turbulent plane jet. J. Fluid Mech. 163, 365–391.Google Scholar
Antonia, R. A. & Bisset, D. K. 1990 Spanwise structure in the near-wall region of a turbulent boundary layer. J. Fluid Mech. 210, 437–458.Google Scholar
Antonia, R. A., Browne, L. W. B. & Shah, D. A. 1988 Characteristics of vorticity fluctuations in a turbulent wake. J. Fluid Mech. 189, 349–365.Google Scholar
Antonia, R. A., Krishnamoorthy, L. V. & Fulachier, L. 1988 Correlation between the longitudinal velocity fluctuation and temperature fluctuation in the near-wall region of a turbulent boundary layer. Intl J. Heat Mass Transfer 31, 723–730.Google Scholar
Antonia, R. A., Shah, D. A. & Browne, L. W. B. 1987 Spectra of velocity derivatives in a turbulent wake. Phys. Fluids 30, 3455–3462.Google Scholar
Antonia, R. A., Teitel, M., Kim, J. & Browne, L. W. B. 1991 Low Reynolds number effects in a fully developed turbulent duct flow. J. Fluid Mech. (submitted).Google Scholar
Balint, J.-L., Vukoslavcević, P. & Wallace, J. M. 1990 The transport of enstrophy in a turbulent boundary layer. In Near-Wall Turbulence (ed. S. J. Kline & N. H. Afgan), pp. 932–950. Hemisphere.
Batchelor, G. K. 1946 The theory of axisymmetric turbulence.. Proc. R. Soc. Lond. A 186, 480–502.Google Scholar
Batchelor, G. K. 1953 The Theory of Homogeneous Turbulence. Cambridge University Press.
Blackwelder, R. F. & Swearingen, J. D. 1990 The role of inflectional velocity profiles in wall bounded flows. In Near-Wall Turbulence (ed. S. J. Kline & N. H. Afgan), pp. 268–288. New York, Hemisphere.
Browne, L. W. B., Antonia, R. A. & Shah, D. A. 1987 Turbulent energy dissipation in a wake. J. Fluid Mech. 179, 307–326.Google Scholar
Champagne, F. H. 1978 The fine-scale structure of the turbulent velocity field. J. Fluid Mech. 86, 67–108.Google Scholar
Chandrasekhar, S. 1950 The theory of axisymmetric turbulence.. Proc. R. Soc. Lond. A 242, 557–577.Google Scholar
Dekeyser, I., Fulachier, L. & Verollet, E. 1977 Anisotropie du champ turbulent d'une couche limite. Influence de l'aspiration à la paroi. J. Méc. 16, 605–623.Google Scholar
Dracos, T., Kholmyansky, M., Kit, E. & Tsinober, A. 1990 Some experimental results on velocity-velocity gradient measurements in turbulent grid flows. In Topological Fluid Mechanics (ed. K. H. Moffatt & A. Tsinober). Cambridge University Press.
Eckelmann, H. 1974 The structure of the viscous sublayer and the adjacent wall region in a turbulent channel flow. J. Fluid Mech. 65, 439–459.Google Scholar
Foss, J. F. & Wallace, J. M. 1990 The measurement of vorticity in transitional and fully developed turbulent flows. In Advances in Fluid Mechanics Measurements (ed. M. Gad-el-Hak), vol. 45, pp. 263–322. Springer.
George, W. K. & Hussein, H. J. 1991 Locally axisymmetric turbulence. J. Fluid Mech. 233, 1–23 (referred to herein as I).Google Scholar
Hussein, H. J. 1988 Measurements of small scale turbulence in an axisymmetric jet using moving hot wires. Ph.D. thesis, State University of New York at Buffalo.
Kim, J. 1989 On the structure of pressure fluctuations in simulated turbulent channel flow. J. Fluid Mech. 205, 421–451.Google Scholar
Kim, J. & Moin, P. 1989 Transport of passive scalars in a turbulent channel flow. In Turbulent Shear Flows 6 (ed. J.-C. André, J. Constieux, F. Durst, B. Launder, F. Schmidt & J. Whitelaw), pp. 85–96. Springer.
Kim, J., Moin, P. & Moser, R. 1987 Turbulence statistics in fully developed channel flow at low Reynolds number. J. Fluid Mech. 177, 133–166.Google Scholar
Krishnamoorthy, L. V. & Antonia, R. A. 1987 Temperature dissipation measurements in a turbulent boundary layer. J. Fluid Mech. 176, 265–281.Google Scholar
Kuo, A. Y.-S. & Corrsin, S. 1972 Experiment on the geometry of the fine-structure regions in fully turbulent fluid. J. Fluid Mech. 56, 447–479.Google Scholar
Lee, M. J. & Reynolds, W. C. 1985 Numerical experiments on the structure of homogeneous turbulence. Rep. TF-24. Thermosciences Division, Stanford University.
Lumley, J. L. & Newman, G. R. 1977 The return to isotropy of homogeneous turbulence. J. Fluid Mech. 82, 161–178.Google Scholar
Mansour, N. N., Kim, J. & Moin, P. 1988 Reynolds-stress and dissipation-rate budgets in a turbulent channel flow. J. Fluid Mech. 194, 15–44.Google Scholar
Mansour, N. N., Kim, J. & Moin, P. 1989 Near-Wall k—e turbulence modeling. AIAA J. 27, 1068–1073.Google Scholar
Moin, P. & Spalart, P. R. 1989 Contributions of numerical simulation data bases to the physics, modeling and measurements of turbulence. In Advances in Turbulence (ed. W. K. George & R. Arndt), pp. 11–38. Hemisphere.
Reynolds, W. C. 1989 Effects of rotation on homogeneous turbulence. Proc. Tenth Australasian Fluid Mechanics Conf. (ed. A. E. Perry), KS2.1-KS2.6, University of Melbourne.
Spalart, P. R. 1988 Direct simulation of a turbulent boundary layer up to R = 1410. J. Fluid Mech. 187, 61–98.Google Scholar
Taylor, G. I. 1935 Statistical theory of turbulence.. Proc. R. Soc. Lond. A 151, 421–478.Google Scholar
Townsend, A. A. 1951 On the fine-scale structure of turbulence.. Proc. R. Soc. Lond. A 28, 534–542.Google Scholar