Hostname: page-component-cd9895bd7-q99xh Total loading time: 0 Render date: 2024-12-19T02:47:03.158Z Has data issue: false hasContentIssue false
  • English
  • Français

Scaling laws for pipe-flow turbulence

Published online by Cambridge University Press:  29 March 2006

A. E. Perry  and
C. J. Abell
A. E. Perry
Affiliation:
Department of Mechanical Engineering, University of Melbourne, Parkville, Australia
C. J. Abell
Affiliation:
Department of Mechanical Engineering, University of Melbourne, Parkville, Australia Present address: Engineering Department, University of Cambridge.
Get access Rights & Permissions [Opens in a new window]

Abstract

Using hot-wire-anemometer dynamic-calibration methods, fully developed pipe-flow turbulence measurements have been taken in the Reynolds-number range 80 × 103 to 260 × 103. Comparisons are made with the results of previous workers, obtained using static-calibration methods. From the dynamic-calibration results, a consistent and systematic correlation for the distribution of turbulence quantities becomes evident, the resulting correlation scheme being similar to that which has previously been established for the mean flow. The correlations reported have been partly conjectured in the past by many workers but convincing experimental evidence has always been masked by the scatter in the results, no doubt caused by the difficulties associated with static-calibration methods, particularly the earlier ones. As for the mean flow, the turbulence intensity measurements appear to collapse to an inner and outer law with a region of overlap, from which deductions can be made using dimensional arguments. The long-suspected similarity of the turbulence structure and its consistency with the established mean-flow similarity appears to be confirmed by the measurements reported here.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 67 , Issue 2 , 28 January 1975 , pp. 257 - 271
Copyright
© 1975 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

Clauser, F. H. 1954 J. Aero. Sci. 21, 91.
Coles, D. E. 1968 Proc. AFOSR-IFP-Stanford Conf. on Computation of Turbulent Boundary Layersxs (ed. D. E. Coles & E. A. Hirst), vol. 2, p. 1.
Ferriss, D. H. 1965 Aero. Res. Counc. Current Paper, no. 831.
Grant, H. P. & Kronauer, R. E. 1962 Synap. on Measurement in Unsteady Plow, A.S.M.E.
Laufer, J. 1954 N.A.C.A. Tech. Rep. no. 1174.
Lawn, C. J. 1971 J. Fluid Mech. 48, 477.
Morrison, G. L., Perry, A. E. & Samuel, A. E. 1972 J. Fluid Mech. 52, 465.
Morrison, W. R. B. & Kronauer, R. E. 1968 J. Fluid Mech. 68, 117.
Perry, A. E. & Morrison, G. L. 1971a J. Fluid Mech. 47, 577.
Perry, A. E. & Morrison, G. L. 1971b J. Fluid Mech. 47, 765.
Perry, A. E. & Morrison, G. L. 1971c J. Fluid Mech. 50, 815.
Squire, H. B. 1948 Phil. Mag. 39 (7), 1.
Townes, H. W., Gow, J. L., Powe, R. E. & Weber, N. 1971 A.S.M.E. Paper, no. 71-Wa/FE-7.
Townsend, A. A. 1956 The Structure of Turbulent Shear Flow. Cambridge University Press.
Wills, J. A. B. 1962 J. Fluid Mech. 12, 388.
Wills, J. A. B. 1964 J. Fluid Mech. 20, 417.
Wyngaard, J. C. 1968 J. Phys. E 1, 1105.