Skip to main content Accessibility help
×
Home

Reynolds-number dependence of the structure of a turbulent boundary layer

  • R. A. Antonia (a1), S. Rajagopalan (a1), C. S. Subramanian (a1) and A. J. Chambers (a1)

Abstract

Conditional averages of longitudinal, normal velocity and temperature fluctuations and of their products have been obtained in a slightly heated boundary layer with zero pressure gradient over a momentum-thickness Reynolds-number range 990 ≤ Rm ≤ 7100. These averages are based on the identification of coherent temperature fronts that extend across most of the layer. The average period between fronts is approximately independent of Rm when Rm is greater than about 1500. The streamwise length scale of the fronts and the magnitude of velocity and temperature derivatives associated with the fronts scale on the thickness of the layer except for Rm, less than about 3000. This scaling is consistent with the Reynolds-number independence, for Rm greater than about 3000, of both mean and turbulent velocity and temperature fields. Conditional averages are discussed in the context of Head & Bandyopadhyay's (1978) suggestion, based on smoke-flow visualization, that the boundary layer consists almost exclusively of hairpin eddies.

Copyright

References

Hide All
Andreopoulos, J. 1978 Symmetric and asymmetric near wake of a flat plate. Ph.D. thesis, Imperial College, University of London.
Antonia, R. A. 1972 Conditionally sampled measurements near the outer edge of a turbulent boundary layer. J. Fluid Mech. 56, 118.
Antonia, R. A., Subramanian, C. S., Rajagopalan, S. & Chambers, A. J. 1980 Reynolds number dependence of the large structure in a slightly heated turbulent boundary layer. Presented at ICHMT/IUTAM Symp. on Heat & Mass Transfer and the Structure of Turbulence, Dubrovnik.
Bandyopadhyay, P. 1980 Large structure with a characteristic upstream interface in turbulent boundary layers. Phys. Fluids 23, 23262327.
Blackwelder, R. F. 1978 The bursting process in turbulent boundary layers. In Coherent Structure of Turbulent Boundary Layers; AFOSR/Lehigh University Workshop (ed. C. R. Smith & D. E. Abbott); pp. 211224.
Chen, C. H. P. 1975 The large scale motion in a turbulent boundary layer: a study using temperature contamination. Ph.D. thesis, University of Southern California.
Chen, C.-H. P. & Blackwelder, R. F. 1978 Large-scale motion in a turbulent boundary layer: a study using temperature contamination. J. Fluid Mech. 89, 131.
Coles, D. 1962 The turbulent boundary layer in a compressible fluid. Rand Corporation Rep. R-403-PR, ARC 24478.
Falco, R. E. 1974 Some comments on turbulent boundary layer structure inferred from the movements of a passive contaminant. A.I.A.A. Paper no. 74–99.
Falco, R. E. 1977 Coherent motions in the outer region of turbulent boundary layers. Phys. Fluids Suppl. 20, S124S132.
Falco, R. E. 1979 Comments on “Large structure in a turbulent boundary layer”. Phys. Fluids 22, 20422043.
Head, M. R. & Bandyopadhyay, P. 1978 Combined flow visualisation and hot-wire measurements in turbulent boundary layers. In Coherent Structure of Turbulent Boundary Layers; AFOSR/Lehigh University Workshop (ed. C. R. Smith & D. E. Abbott); pp. 98125.
Head, M. R. & Bandyopadhyay, P. 1979 Flow visualisation of turbulent boundary layer structure. AGARD Conf. Proc. CP271, 25.1–25.12.
Head, M. R. & Bandyopadhyay, P. 1981 New aspects of turbulent boundary-layer structure. J. Fluid Mech. 107, 297338.
Huffman, G. D. & Bradshaw, P. 1972 A note on von Kármán's constant in low Reynolds number turbulent flows. J. Fluid Mech. 53, 4560.
Kovasznay, L. S. G., Kibens, V. & Blackwelder, R. F. 1970 Large scale motion in the intermittent region of a turbulent boundary layer. J. Fluid Mech. 41, 283325.
Lu, S. S. & Willmarth, W. W. 1973 Measurements of the structure of the Reynolds stress in a turbulent boundary layer. J. Fluid Mech. 60, 481512.
Murlis, J. 1975 The structure of a turbulent boundary layer at low Reynolds number. Ph.D. thesis, Imperial College, University of London.
Murlis, J., Tsai, H. M. & Bradshaw, P. 1980 The structure of turbulent boundary layers at low Reynolds numbers. Private communication.
Offen, G. R. & Kline, S. J. 1973 Experiments on the velocity characteristics of ‘bursts’ and on the interaction between the inner and outer regions of a turbulent boundary layer. Rep. MD-31, Dept Mech. Engng, Stanford University.
Phong-Anant, D., Antonia, R. A., Chambers, A. J. & Rajagopalan, S. 1980 Features of the organised motion in the atmospheric surface layer. J. Geophys. Res. 85, 424432.
Purtell, L. P. 1978 The turbulent boundary layer at low Reynolds number. Ph.D. thesis, University of Maryland.
Purtell, L. P., Klebanoff, P. S. & Buckley, F. T. 1981 Turbulent boundary layer at low Reynolds number. Phys. Fluids 24, 802811.
Rajagopalan, S. & Antonia, R. A. 1981 Properties of the large structure in a slightly heated turbulent mixing layer of a plane jet. J. Fluid Mech. 105, 261281.
Subramanian, C. S. 1981 Some properties of the large scale structure in a slightly heated turbulent boundary layer. Ph.D. thesis, University of Newcastle, Australia.
Subramanian, C. S. & Antonia, R. A. 1979 Some properties of the large structure in a slightly heated turbulent boundary layer. In Proc. 2nd Int. Symp. on Turbulent Shear Flows, London, pp. 4.18–4.21.
Subramanian, C. S. & Antonia, R. A. 1981 Effect of Reynolds number on a slightly heated turbulent boundary layer. Int. J. Heat Mass Transfer 24, 18331846.
Subramanian, C. S., Rajagopalan, S., Antonia, R. A. & Chambers, A. J. 1981 Comparison of conditional sampling and averaging techniques in a turbulent boundary layer. Rep. TN FM58, Dept of Mech. Engng, University of Newcastle.
Townsend, A. A. 1956 The Structure of Turbulent Shear Flow. Cambridge University Press.
Wallace, J. M., Brodkey, R. S. & Eckelmann, H. 1977 Pattern-recognized structures in bounded turbulent shear flows. J. Fluid Mech. 83, 673693.
Wallace, J. M., Eckelmann, H. & Brodkey, R. S. 1972 The wall region in turbulent shear flow. J. Fluid Mech. 54, 3948.
Willmarth, W. W. & Lu, S. S. 1972 Structure of the Reynolds stress near the wall. J. Fluid Mech. 55, 6592.
MathJax
MathJax is a JavaScript display engine for mathematics. For more information see http://www.mathjax.org.

Reynolds-number dependence of the structure of a turbulent boundary layer

  • R. A. Antonia (a1), S. Rajagopalan (a1), C. S. Subramanian (a1) and A. J. Chambers (a1)

Metrics

Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed