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A theoretical and experimental study of wall turbulence

Published online by Cambridge University Press:  21 April 2006

A. E. Perry
Affiliation:
University of Melbourne, Department of Mechanical Engineering, Parkville, Victoria 3052, Australia
S. Henbest
Affiliation:
University of Melbourne, Department of Mechanical Engineering, Parkville, Victoria 3052, Australia
M. S. Chong
Affiliation:
University of Melbourne, Department of Mechanical Engineering, Parkville, Victoria 3052, Australia

Abstract

In this paper the dimensional-analysis approach to wall turbulence of Perry & Abell (1977) has been extended in a number of directions. Further recent developments of the attached-eddy hypothesis of Townsend (1976) and the model of Perry & Chong (1982) are given, for example, the incorporation of a Kolmogoroff (1941) spectral region. These previous analyses were applicable only to the ‘wall region’ and are extended here to include the whole turbulent region of the flow. The dimensional-analysis approach and the detailed physical modelling are consistent with each other and with new experimental data presented here.

Type
Research Article
Copyright
© 1986 Cambridge University Press

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References

Acarlar, M. S. & Smith, C. R. 1984 An experimental study of hairpin-type vortices as a potential flow structure of turbulent boundary layers. Rep. FM-5. Dept of ME/Mech., Lehigh University.
Batchelor, G. K. 1956 Theory of Homogeneous Turbulence. Cambridge University Press.
Bremhorst, K. & Walker, T. B. 1973 Spectral measurements of turbulent momentum transfer in fully developed pipe flow. J. Fluid Mech. 61, 173186.Google Scholar
Bullock, K. J., Cooper, R. E. & Abernathy, F. H. 1978 Structural similarity in radial correlations and spectra of longitudinal fluctuations in pipe flow. J. Fluid Mech. 88, 585608.Google Scholar
Coles, D. E. 1956 The law of the wake in the turbulent boundary layer. J. Fluid Mech. 1, 191–226.Google Scholar
Hama, F. R. 1954 Boundary layer characteristics for smooth and rough surfaces. Trans. Soc. Naval Arch. Mar. Engrs 62, 333358.Google Scholar
Head, M. R. & Bandyopadhyay, P. 1981 New aspects of turbulent structure. J. Fluid Mech. 107, 297337.Google Scholar
Hussain, A. K. M. F. 1982 Coherent structures– reality or myth. Rep. FM-17. Dept. of Mech. Eng., University of Houston.
Isakson, A. 1937 On the formula for the velocity distribution near walls. Tech. Phys. U.S.S.R. IV, 155.Google Scholar
Kim, J. 1985 Evolution of a vortical structure associated with the bursting event in a channel flow. Fifth Symp. on Turbulent Shear Flows, Cornell University, Ithaca, New York, 9.23.
Kline, S. J., Reynolds, W. C., Schraub, F. A. & Rundstadler, P. W. 1967 The structure of turbulent boundary layers. J. Fluid Mech. 30, 741773.Google Scholar
Kolmogoroff, A. N. 1941 The local structure of turbulence in incompressible viscous fluid for very large Reynolds numbers. C.R. Acad. Sci. U.R.S.S., 30, 301305.Google Scholar
Millikan, C. D. 1939 A critical discussion of turbulent flows in channels and circular tubes. In Proc. 5th Congress of Appl. Mech. Cambridge, Mass. (ed. J. P. Dentlartog & H. Peters), pp. 386–392. Wiley.
Moin, P. & Kim, J. 1985 The structure of the vorticity field in turbulent channel flow. Part 1. Analysis of instantaneous fields and statistical correlators. J. Fluid Mech. 155, 441464.Google Scholar
Perry, A. E. 1982 Hot-Wire Anemometry. Clarendon.
Perry, A. E. & Abell, C. J. 1975 Scaling law for pipe flow turbulence. J. Fluid Mech. 67, 257271.Google Scholar
Perry, A. E. & Abell, C. J. 1977 Asymptotic similarity of turbulence structures in smooth-and rough-walled pipes. J. Fluid Mech. 79, 785799.Google Scholar
Perry, A. E. & Chono, M. S. 1982 On the mechanism of wall turbulence. J. Fluid Mech. 119, 173217.Google Scholar
Perry, A. E. & Morrisonv, G. L. 1971 A study of the constant temperature hot-wire anemometer. J. Fluid Mech. 47, 577599.Google Scholar
Smith, C. R. 1984 A synthesized model of near wall behaviour in turbulent boundary layers. In Proc. of 8th Symp. on Turbulence, Dept. of Chem. Eng., University of Missouri-Rolla.
Taylor, G. I. 1938 The spectrum of turbulence.Proc. R. Soc. Lond. A164, 476490.
Townsend, A. A. 1961 Equilibrium layers and wall turbulence. J. Fluid Mech. 11, 97120.Google Scholar
Townsend, A. A. 1976 The Structure of Turbulent Shear Flow (2nd ed.). Cambridge University Press.
Wills, J. A. B. 1964 On convection velocities in turbulent shear flow. J. Fluid Mech. 20, 417432.Google Scholar
Zaman, K. B. M. Q. & Hussain, A. K. M. F. 1981 Taylor hypothesis and large-scale coherent structures. J. Fluid Mech. 112, 379396.Google Scholar