Hostname: page-component-8448b6f56d-wq2xx Total loading time: 0 Render date: 2024-04-24T02:31:18.141Z Has data issue: false hasContentIssue false

On the role of wall-pressure fluctuations in deterministic motions in the turbulent boundary layer

Published online by Cambridge University Press:  20 April 2006

A. S. W. Thomas
Affiliation:
Department of Mechanical Engineering, University of Adelaide, South Australia Present address: Lockheed-Georgia Company, Marietta, Georgia 30063, U.S.A.
M. K. Bull
Affiliation:
Department of Mechanical Engineering, University of Adelaide, South Australia

Abstract

The wall-pressure fluctuations beneath a turbulent boundary layer have been conditionally sampled on a basis of the high-frequency activity of the pressure fluctuations themselves, the high-frequency activity of the streamwise velocity fluctuations in the vicinity of the wall, and the excursions in velocity in the vicinity of the wall. This has led to the identification of a characteristic wall-pressure fluctuation pattern which is associated with the burst–sweep cycle of events in the wall region. The pattern has the form of an overpressure over a streamwise extent of about 1·5−2·0δ*, with a region of underpressure and a pressure minimum to either side of it, the distance between pressure minima being about 3·0−3·5δ*. This pattern is convected at a velocity 0·67 times the freestream velocity. Its phase relationship with velocity fluctuations close to the wall and the wall shear-stress fluctuations during the burst–sweep cycle have been established. It appears to be produced by the inclined shear layer which forms the upstream surface of the large organized structures in the layer, and calculated pressure patterns support this conclusion.

The phase relationships indicate that fluid involved in the bursting process is subjected to a favourable streamwise pressure gradient by the characteristic wall-pressure pattern at the time that the lift-up of low-speed streaks in the wall region begins. In addition, order-of-magnitude estimates suggest that the adverse pressure gradients associated with the characteristic pressure pattern, even if their phasing with streak lift-up were appropriate, would be insufficient to initiate the lift-up. It is therefore concluded that the streamwise pressure gradients associated with the pressure patterns do not play an active role in the dynamics of the wall flow and are not the direct cause of the bursting process.

Type
Research Article
Copyright
© 1983 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

Antonia, R. A. 1972 J. Fluid Mech. 56, 1.
Blackwelder, R. 1977 Phys. Fluids Suppl. 20, S232.
Blackwelder, R. F. & Haratonidis, J. H. 1980 Bull. Am. Phys. Soc. 25, 1094.
Blackwelder, R. F. & Kaplan, R. E. 1976 J. Fluid Mech. 76, 89.
Brown, G. L. & Davey, R. F. 1971 Rev. Sci. Instrum. Notes 42, 1729.
Brown, G. L. & Thomas, A. S. W. 1977 Phys. Fluids Suppl. 20, S243.
Bull, M. K. 1967 J. Fluid Mech. 28, 719.
Bull, M. K. & Lim, K. B. 1968 In Proc. 3rd Australasian Hydraul. and Fluid Mech. Conf., p. 143.
Bull, M. K. & Thomas, A. S. W. 1976 Phys. Fluids 19, 597.
Burton, T. E. 1974 M.I.T. Acoustics and Vibration Lab. Rep. no. 7020810.
Cantwell, B. J. 1981 Ann. Rev. Fluid Mech. 13, 457.
Chen, E. P. & Blackwelder, R. F. 1978 J. Fluid Mech. 89, 1.
Corino, E. R. & Brodkey, R. S. 1969 J. Fluid Mech. 37, 1.
Dinckelacker, A., Hessel, M., Meier, G. E. A. & Schewe, G. 1977 Phys. Fluids Suppl. 20, S216.
Emmerling, R. 1973 Max-Planck-Institut für Strömungsforschung, Bericht no. 9.
Falco, R. E. 1977 Phys. Fluids Suppl. 20, S124.
Kaplan, R. E. & Laufer, J. 1969 In Proc. 12th Int. Congr. Appl. Mech., p. 236.
Kim, H. T., Kline, S. J. & Reynolds, W. C. 1971 J. Fluid Mech. 50, 133.
Kline, S. J., Reynolds, W. C., Schraub, F. A. & Rundstadtler, P. W. 1967 J. Fluid Mech. 30, 741.
Kreplin, H. P. & Eckelmann, H. 1979 J. Fluid Mech. 95, 305.
Kovasznay, L. S. G., Kibens, V. & Blackwelder, R. F. 1970 J. Fluid Mech. 41, 283.
Kraichnan, R. H. 1956 J. Acoust. Soc. Am. 28, 378.
Laufer, J. 1972 1st Naz. Alta. Mat. Symp. Math. 9, 299.
Laufer, J. 1975 Ann. Rev. Fluid Mech. 7, 307.
Laufer, J. & BADRI NARAYANAN, M. A. 1971 Phys. Fluids 14, 282.
Lilley, G. M. & Hodgson, T. H. 1960 AGARD Rep. no. 276.
Lim, K. B. 1971 Ph.D. thesis, Dept Mech. Engng, University of Adelaide.
Lu, S. S. & Willmarth, W. W. 1973 J. Fluid Mech. 60, 481.
Mollo-Christensen, E. 1971 A.I.A.A. J. 9, 1217.
Nychas, S. G., Hershey, H. C. & Brodkey, R. S. 1973 J. Fluid Mech. 61, 513.
Offen, G. R. & Kline, S. J. 1974 J. Fluid Mech. 62, 223.
Offen, G. R. & Kline, S. J. 1975 J. Fluid Mech. 70, 209.
Rao, K. N., Narasimha, R. & Badri Narayanan, M. A. 1971 J. Fluid Mech. 48, 339.
Reichardt, H. 1951 Z. angew. Math. Phys. 31, 208.
Thomas, A. S. W. 1977 Ph.D. thesis, Dept Mech. Engng, University of Adelaide.
Thomas, A. S. W. 1979 AGARD-CPP-271, Turbulent Boundary Layers – Experiments, Theory and Modeling.
Thomas, A. S. W. & Brown, G. L. 1977 In Proc. 6th Australasian Hydraul. and Fluid Mech. Conf., p. 407.
Willmarth, W. W. 1975 Adv. Appl. Mech. 15, 159.
Willimarth, W. W. & Wooldridge, C. E. 1962 J. Fluid Mech. 14, 187.
Willmarth, W. W. & Wooldridge, C. E. 1963 AGARD Rep. no. 456.