Hostname: page-component-6b989bf9dc-94dtm Total loading time: 0 Render date: 2024-04-15T04:06:12.180Z Has data issue: false hasContentIssue false

Effect of Reynolds number on the topology of the organized motion in a turbulent boundary layer

Published online by Cambridge University Press:  26 April 2006

R. A. Antonia
Affiliation:
Department of Mechanical Engineering, University of Newcastle, N.S.W., 2308, Australia
D. K. Bisset
Affiliation:
Department of Mechanical Engineering, University of Newcastle, N.S.W., 2308, Australia
L. W. B. Browne
Affiliation:
Department of Mechanical Engineering, University of Newcastle, N.S.W., 2308, Australia

Abstract

The influence of Reynolds number on the topology of the organized motion in a turbulent boundary layer is studied with the use of an array of eight ×-probes in the plane of mean shear. Instantaneous sectional streamlines and contours of large-scale approximations to the spanwise vorticity and strain rate suggest that the motion is relatively complicated at all Reynolds numbers. Contours, conditioned on the spatially coherent increase in the velocity fluctuation u, extend to larger distances from the wall at the smaller Reynolds numbers. Reasonable correspondence is found between the location of this increase in the near-wall region and the end of a burst. Associated with this increase is an important contribution to the Reynolds shear stress throughout the layer. This contribution is larger at the smaller Reynolds numbers.

Type
Research Article
Copyright
© 1990 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

Alfredsson, P. H. & Johansson, A. V. 1984 Phys. Fluids 27, 1974–1981.
Andreopoulos, J., Durst, F., Zaric, Z. & Jovanovic, J. 1984 Expts Fluids 2, 716.
Antonia, R. A. 1972 J. Fluid Mech. 56, 118.
Antonia, R. A., Browne, L. W. B. & Bisset, D. K. 1989 In Near-Wall Turbulence: 1988 Zoran Zaric Memorial Conference. Hemisphere (referred to as I).
Antonia, R. A., Browne, L. W. B., Bisset, D. K. & Fulachier, L. 1987 J. Fluid Mech. 184, 423444.
Antonia, R. A. & Fulachier, L. 1989 J. Fluid Mech. 198, 429451.
Antonia, R. A., Fulachier, L., Krishnamoorthy, L. V., Benabid, T. & Anselmet, F. 1988 J. Fluid Mech. 190, 217240.
Antonia, R. A., Rajagopalan, S., Subramanian, C. S. & Chambers, A. J. 1982 J. Fluid Mech. 121, 123140.
Barlow, R. S. & Johnston, J. P. 1988 J. Fluid Mech. 191, 177195.
Blackwelder, R. F. & Kovasznay, L. S. G. 1972 Phys. Fluids 15, 15451554.
Bogard, D. G. & Tiederman, W. G. 1986 J. Fluid Mech. 162, 389413.
Brodkey, R. S., Aouad, Y. G., Valizadeh-Alavi, H. & Eckelmann, H. 1985 In Flow of Real Fluids. Lecture Notes in Physics, vol. 235, pp. 279291 Springer.
Brown, G. L. & Thomas, A. S. W. 1977 Phys. Fluids 20, S243–S252.
Browne, L. W. B., Antonia, R. A. & Chua, L. P. 1989 Expts Fluids 8, 1316.
Chen, C.-H. P. & Blackwelder, R. F. 1978 J. Fluid Mech. 89, 131.
Coles, D. 1962 Rand Corp. Rep. R-403-PR, ARC 24478.
Coles, D. 1982 In Surveys in Fluid Mechanics (ed. R. Narasimha & S. M. Deshpande), pp. 1733. Bangalore: Indian Academy of Sciences.
Erm, L. P., Smits, A. J. & Joubert, P. N. 1987 In Turbulent Shear Flows 5 (ed. F. Durst, B. E. Launder, J. L. Lumley, F. W. Schmidt & J. H. Whitelaw), pp. 186196. Springer.
Falco, R. E. 1974 AIAA Paper 74–99, presented at AIAA 12th Aerospace Sciences Meeting, Washington.
Falco, R. E. 1977 In Turbulence in Internal Flows (ed. S. N. B. Murthy), pp. 113130. Hemisphere.
Falco, R. E. 1980 Trans. ASME I: J. Fluids Engng 102, 174182.Google Scholar
Fiedler, H. & Head, M. R. 1966 J. Fluid Mech. 25, 719735.
Fleischmann, S. T. & Wallace, J. M. 1984 AIAA J. 22, 766769.
Head, M. R. & Bandyopadhyay, P. 1981 J. Fluid Mech. 107, 297338 (referred to as HB).
Hussain, A. K. M. F. 1986 J. Fluid Mech. 173, 303356.
Kim, J. 1985 Phys. Fluids 28, 5258.
Kim, J. 1988 In Transport Phenomena in Turbulent Flows (ed. M. Hirata & N. Kasagi), pp. 715729. Hemisphere.
Klebanoff, P. S. 1955 NACA Rep. 1247.
Kline, S. J. 1989 In Near-Wall Turbulence: 1988 Zoran Zaric Memorial Conference. Hemisphere.
Kovasznay, L. S. G., Kibens, V. & Blackwelder, R. F. 1970 J. Fluid Mech. 41, 283325.
Lu, S. S. & Willmarth, W. W. 1973 J. Fluid Mech. 60, 481512.
Luchik, T. S. & Tiederman, W. G. 1987 J. Fluid Mech. 174, 529552.
Murlis, J., Tsai, H. M. & Bradshaw, P. 1982 J. Fluid Mech. 122, 1356.
Perry, A. E. & Chong, M. S. 1987 Ann. Rev. Fluid Mech. 19, 125155.
Piomelli, U., Balint, J.-L. & Wallace, J. M. 1989 Phys. Fluids A 1, 609611
Purtell, L. P., Klebanoff, P. S. & Buckley, F. T. 1981 Phys. Fluids 24, 802811.
Robinson, S. K., Kline, S. J. & Spalart, P. R. 1989 In Near-Wall Turbulence: 1988 Zoran Zaric Memorial Conference. Hemisphere.
Shah, D. A. & Antonia, R. A. 1989 Phys. Fluids A 1, 318325
Smith, C. R. & Metzler, S. P. 1983 J. Fluid Mech. 129, 2754.
Spalart, P. R. 1988 J. Fluid Mech. 187, 6198.
Subramanian, C. S. & Antonia, R. A. 1981 Intl J. Heat Mass Transfer 24, 18331846.
Subramanian, C. S., Rajagopalan, S., Antonia, R. A. & Chambers, A. J. 1982 J. Fluid Mech. 123, 335362.
Tiederman, W. G. 1989 In Near-Wall Turbulence: 1988 Zoran Zaric Memorial Conference. Hemisphere.
Townsend, A. A. 1956 The Structure of Turbulent Shear Flow. Cambridge University Press.
Wallace, J. M. 1984 In Turbulence and Chaotic Phenomena in Fluids (ed. T. Tatsumi), pp. 447452. North-Holland.
Wallace, J. M., Balint, J.-L., Mariaux, J.-L. & Morel, R. 1983 In Recent Advances in Engineering Mechanics and Their Impact on Civil Engineering Practice (ed. W. F. Chen & A. D. M. Lewis), pp. 11981201. Purdue University.
Wallace, J. M., Brodkey, R. S. & Eckelmann, H. 1977 J. Fluid Mech. 83, 673693.
Willmarth, W. W. 1978 In Workshop on Coherent Structure of Turbulent Boundary Layers (ed. C. R. Smith & D. E. Abbott), pp. 130162. Lehigh University.