Hostname: page-component-cd9895bd7-dk4vv Total loading time: 0 Render date: 2024-12-28T04:50:12.675Z Has data issue: false hasContentIssue false
  • English
  • Français

Experiments on the structure of turbulence in fully developed pipe flow. Part 2. A statistical procedure for identifying ‘bursts’ in the wall layers and some characteristics of flow during bursting periods

Published online by Cambridge University Press:  12 April 2006

T. R. Heidrick ,
S. Banerjee  and
R. S. Azad
T. R. Heidrick
Affiliation:
Atomic Energy of Canada Limited, Whiteshell Nuclear Research Establishment, Pinawa, Manitoba, Canada
S. Banerjee
Affiliation:
Atomic Energy of Canada Limited, Whiteshell Nuclear Research Establishment, Pinawa, Manitoba, Canada
R. S. Azad
Affiliation:
Department of Mechanical Engineering, University of Manitoba, Winnipeg, Manitoba, Canada
Get access Rights & Permissions [Opens in a new window]

Abstract

This paper is the second of a pair describing two-point velocity measurements in fully developed pipe flow. A method of processing hot-film anemometer signals to identify intervals of high energy production (‘bursts’) in wall turbulence is presented. The method uses filtered cross-stream spatial derivatives of the axial velocity fluctuations. It is demonstrated to be more sensitive to ‘bursts’ than several other methods of indentification. The bursts identified in this manner are shown to have similar characteristics to those observed in visual studies.

The technique has been applied to the wall region of turbulent pipe flow. Mean burst rates have been obtained at various distances from the wall for three Reynolds numbers. It is shown that the mean burst rate cannot be reliably obtained from a previously used technique based on the autocorrelation of the axial velocity fluctuations.

On the basis of our experiments, the mean burst rate and the turbulent shear stress have been found to vary similarly with distance from the wall. In the region near the wall where the shear stress is constant the mean burst rate is independent of the kinematic viscosity.

Some characteristics of the velocity fluctuations during burst intervals have been studied. All the bursts began with a relative minimum in the axial velocity fluctuations followed by a peak in the cross-stream spatial derivative. A second peak always occurred midway through the burst. The sequence of events is somewhat similar to that in the last stage of laminar-to-turbulent transition.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 82 , Issue 4 , 14 October 1977 , pp. 705 - 723
Copyright
© 1977 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

Bakewell, H. P. 1966 Ph.D. dissertation, The Pennsylvania State University.Google Scholar
Corino, R. E. & Brodkey, R. S. 1969 J. Fluid Mech. 37, 1.Google Scholar
Hedley, T. B. & Keffer, J. F. 1974 J. Fluid Mech. 64, 625.Google Scholar
Heidrick, T. R. 1974 Ph.D. dissertation, The University of Manitoba.Google Scholar
Heidrick, T. R., Banerjee, S. & Azad, R. S. 1977 J. Fluid Mech. 81, 137.Google Scholar
Kaplan, R. E. & Laufer, J. 1969 Proc. 12th Int. Cong. Appl. Mech. Springer.Google Scholar
Kim, H. T., Kline, S. J. & Reynolds, W. C. 1968 Thermosci. Div., Dept. Mech. Engng, Stanford Univ. Rep. MD-20.Google Scholar
Kim, H. T., Kline, S. J. & Reynolds, W. C. 1971 J. Fluid Mech. 50, 133.Google Scholar
Kline, S. J., Reynolds, W. C., Schraub, F. A. & Runstadler, P. W. 1967 J. Fluid Mech. 30, 741.Google Scholar
Kovasznay, L. S. G., Komoda, H. & Vasudeva, B. R. 1962 Proc. Heat Transfer Fluid Mech. Inst. p. 1. Stanford University Press.Google Scholar
Lahey, R. T. & Kline, S. J. 1971 Thermosci. Div., Dept. Mech. Engng, Stanford Univ. Rep. MD-26.Google Scholar
Laufer, J. 1954 N.A.C.A. Rep. no. 1174.Google Scholar
Lu, S. S. & Willmarth, W. W. 1973 J. Fluid Mech. 60, 481.Google Scholar
Offen, G. R. & Kline, S. J. 1975 In Turbulence in Liquids (ed. J. L. Zakin & G. K. Patterson), p. 289. University of Missouri Rolla Press.Google Scholar
Rao, K. N., Narasimha, R. & Badri Narayanan, M. A. 1971 J. Fluid Mech. 48, 339.Google Scholar
Richardson, F. M. & Beatty, K. O. 1959 Phys. Fluids 2, 718.Google Scholar
Saltvold, J. S. 1971 Proc. DECUS (Digital Equipment Users Soc.) Symp., Fredericton, New Brunswick.Google Scholar
Schraub, F. A. & Kline, S. J. 1965 Thermosci. Div., Dept. Mech. Engng, Stanford Univ. Rep. MD-12.Google Scholar
Wallace, J. M., Eckelmann, H. & Brodkey, R. S. 1972 J. Fluid Mech. 54, 39.Google Scholar