Hostname: page-component-cd9895bd7-jn8rn Total loading time: 0 Render date: 2024-12-26T06:54:16.476Z Has data issue: false hasContentIssue false
  • English
  • Français

On the mechanism of wall turbulence

Published online by Cambridge University Press:  20 April 2006

A. E. Perry  and
M. S. Chong
A. E. Perry
Affiliation:
Department of Mechanical Engineering, University of Melbourne, Parkville, Victoria 3052, Australia
M. S. Chong
Affiliation:
Department of Mechanical Engineering, University of Melbourne, Parkville, Victoria 3052, Australia
Get access Rights & Permissions [Opens in a new window]

Abstract

In this paper an attempt is made to formulate a model for the mechanism of wall turbulence that links recent flow-visualization observations with the various quantitative measurements and scaling laws established from anemometry studies. Various mechanisms are proposed, all of which use the concept of the horse-shoe, hairpin or ‘A’ vortex. It is shown that these models give a connection between the mean-velocity distribution, the broad-band turbulence-intensity distributions and the turbulence spectra. Temperature distributions above a heated surface are also considered. Although this aspect of the work is not yet complete, the analysis for this shows promise.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 119 , June 1982 , pp. 173 - 217
Copyright
© 1982 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Abell, C. J. & Perry, A. E. 1974 Smooth and rough wall pipe flow longitudinal turbulence spectral data. University of Melbourne Dep. of Mech. Engng, Internal Rep. FM-6.Google Scholar
Acton, E. 1980 Modelling of large eddies in an axisymmetric jet. J. Fluid Mech. 98, 1–36.Google Scholar
Bakewell, H. P. & Lumley, J. L. 1967 Viscous sublayer and adjacent wall region in turbulent pipe flow. Phys. Fluids 10, 1880.Google Scholar
Bandyopadhyay, P. & Head, M. R. 1979 Visual investigation of turbulent boundary layer structure. Cambridge University Engng Dept Film.Google Scholar
Blackwelder, R. F. 1978 The bursting process in turbulent boundary layer. In Proc. Workshop on Coherent Structure of Turbulent Boundary Layers, Lehigh University, p. 211.
Bracewell, R. N. 1978 The Fourier Transform and its Application. McGraw-Hill.
Brown, G. L. & Roshko, A. 1974 On density effects and large structure in turbulent mixing layers. J. Fluid Mech. 64, 775.Google Scholar
Clauser, F. H. 1956 The turbulent boundary layer. Adv. Appl. Mech. 4, 1–51.Google Scholar
Coles, D. 1956 The law of the wake in the turbulent boundary layer. J. Fluid Mech. 1, 191–226.Google Scholar
Coles, D. & Hirst, A. E. 1968 Proc. AFSOR-IFP Stanford Conf. on Turbulent Boundary Layer Prediction, vol. 2.
Corrsin, S. 1957 Proc. Symp. on Naval Hydrodynamics. NAS-NRC Publ. no. 515, p. 373.
Frenkiel, F. N. & Klebanoff, P. S. 1973 Probability distributions and correlations in a turbulent boundary layer. Phys. Fluids 16, 725–737.Google Scholar
Grass, A. J. 1971 Structural features of turbulent flow over smooth and rough boundaries. J. Fluid Mech. 50, 233.Google Scholar
Hama, F. R. 1954 Boundary layer characteristics for smooth and rough surfaces. Trans. Soc. Naval Arch. Mar. Engrs 62, 333–351.Google Scholar
Head, M. R. & Bandyopadhyay, P. 1981 New aspects of turbulent boundary-layer structure. J. Fluid Mech. 107, 297–337.Google Scholar
Hinze, J. O. 1959 Turbulence. McGraw-Hill.
Hoffman, P. H. & Perry, A. E. 1979 The development of turbulent thermal boundary layers on flat plates. Int. J. Heat Mass Transfer 22, 39–46.Google Scholar
Kadar, B. A. & Yaglom, A. M. 1972 Heat and mass transfer laws for fully turbulent wall flows. Int. J. Heat Mass Transfer 15, 2329–2353.Google Scholar
Kline, S. J. 1967 Observed structural features in turbulent and transitional boundary layers. In Fluid Mechanics of Internal Flow (ed. G. Sovran). Elsevier.
Kline, S. J., Reynolds, W. C., Schrab, F. A. & Runstadler, P. W. 1967 The structure of turbulent boundary layers. J. Fluid Mech. 30, 741–773.Google Scholar
Millikan, C. D. 1938 A critical discussion of turbulent flows in channels and circular tubes. In Proc. 5th Congress Appl. Mech., p. 386–392.
Perry, A. E. & Abell, C. J. 1975 Scaling laws for pipe-flow turbulence. J. Fluid Mech. 67, 257–271.Google Scholar
Perry, A. E. & Abell, C. J. 1977 Asymptotic similarity of turbulence structures in smooth-and rough-wall pipes. J. Fluid Mech. 79, 785–799.Google Scholar
Perry, A. E., Bell, J. B. & Joubert, P. N. 1966 Velocity and temperature profiles in adverse pressure gradient turbulent boundary layers. J. Fluid Mech. 25, 299–320.Google Scholar
Perry, A. E. & Fairlie, B. D. 1974 Critical points in flow patterns. Adv. Geophys. B 18, 299–315.Google Scholar
Perry, A. E., Lim, T. T. & Chong, M. S. 1980 The instantaneous velocity field of coherent structures in coflowing jets and wakes. J. Fluid Mech. 101, 243–256.Google Scholar
Perry, A. E., Lim, T. T. & Teh, E. W. 1981 A visual study of turbulent spots. J. Fluid Mech. 104, 285–403.Google Scholar
Pullin, D. I. & Phillips, W. R. C. 1981 On the generalization of Kaden's problem. J. Fluid Mech. 104, 45–53.Google Scholar
Reynolds, W. C., Kays, W. M. & Kline, S. J. 1958 NASA Memo. no. 12–1–58W.
Theodorsen, T. 1952 Mechanism of turbulence. In Proc. 2nd Midwestern Conf. of Fluid Mechanics, Ohio State University.
Theodorsen, T. 1954 The Structure of Turbulence. 50 Jahre Grenzschichtforschung. Vieweg.
Townsend, A. A. 1951a On the fine-scale structure of turbulence. Proc. R. Soc. Lond. A 208, 534–542.Google Scholar
Townsend, A. A. 1951b The diffusion of heat spots in isotropic turbulence. Proc. R. Soc. Lond. A 209, 418–430.Google Scholar
Townsend, A. A. 1976 The Structure of Turbulent Shear Flow, 2nd edn. Cambridge University Press.
Willmarth, W. W. 1975 Structure of turbulence in boundary layers. Adv. Appl. Mech. 15, 159–254.Google Scholar
Willmarth, W. W. 1978 Survey of multiple sensor measurements and correlations in boundary layers. In Proc. Workshop on Coherent Structure of Turbulent Boundary Layers, Lehigh University, p. 130.
Winant, C. D. & Browand, F. K. 1974 Vortex pairing: the mechanism of turbulent mixing-layer growth at moderate Reynolds number. J. Fluid Mech. 63, 237–255.Google Scholar