Hostname: page-component-cd9895bd7-mkpzs Total loading time: 0 Render date: 2024-12-18T17:54:09.706Z Has data issue: false hasContentIssue false
  • English
  • Français

Comparison of conditional sampling and averaging techniques in a turbulent boundary layer

Published online by Cambridge University Press:  20 April 2006

C. S. Subramanian ,
S. Rajagopalan ,
R. A. Antonia  and
A. J. Chambers
C. S. Subramanian
Affiliation:
Department of Mechanical Engineering, University of Newcastle, N.S.W. 2308, Australia
S. Rajagopalan
Affiliation:
Department of Mechanical Engineering, University of Newcastle, N.S.W. 2308, Australia
R. A. Antonia
Affiliation:
Department of Mechanical Engineering, University of Newcastle, N.S.W. 2308, Australia
A. J. Chambers
Affiliation:
Department of Mechanical Engineering, University of Newcastle, N.S.W. 2308, Australia
Get access Rights & Permissions [Opens in a new window]

Abstract

Visual examination of simultaneous temperature traces from a rake of cold wires placed across a turbulent boundary layer had enabled the identification of coherent temperature fronts. An X-wirelcold-wire arrangement was used simultaneously with the rake to provide measurements of the velocity fluctuations u (longitudinal) and v (normal) and the temperature fluctuation θ. Conditional averages of u, v, θ and products uv, uθ, vθ were obtained by application of conditional techniques based on the detection of the temperature fronts using information obtained at only one point in space. These averages, obtained at various positions across the layer, have been compared with those obtained when the rake was used to detect the fronts. The comparison has indicated that none of the one-point detection techniques is in good quantitative agreement with the rake detection technique, the largest correspondence between the rake technique and any ofthe other one-point techniques being only 51 yo. With the exception of the hole technique used in conjunction with the quadrant decomposition analysis, conditional averages obtained from one-point techniques are in reasonable qualitative agreement with those deduced using the rake.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 123 , October 1982 , pp. 335 - 362
Copyright
© 1982 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. 1980 The organized motion in a turbulent boundary layer. In Proc. 7th Australasian Conf. on Hydraulics and Fluid Mechanics, Brisbane, pp. 155–162.
Antonia, R. A. 1981 Conditional sampling in turbulence measurement. Ann. Rev. Fluid Mech. 13, 131–156.Google Scholar
Antonia, R. A., Rajagopalan, S., Subramanian, C. S. & Chambers, A. J. 1982 Reynolds-number dependence of the structure of a turbulent boundary layer. J. Fluid Mech. 121, 123–140.Google Scholar
Beljaars, A. 1979 A model for turbulent exchange in boundary layers. Ph.D. thesis, Eindhoven University of Technology, Holland.
Blackwelder, R. F. & Kaplan, R. E. 1976 On the wall structure of the turbulent boundary layer. J. Fluid Mech. 76, 89–112.Google Scholar
Bradshaw, P. 1971 An Introduction to Turbulence and Its Measurement. Pergamon.
Brown, G. L. & Thomas, A. S. W. 1977 Large structure in a turbulent boundary layer. Phys. Fluids Suppl. 20, S243–S252.Google Scholar
Champagne, F. G. 1979 The temperature sensitivity of hot wire. In Proc. Dynamic Flow Conf. – Dynamic Measurements in Unsteady Flows, 1978, Marseille/Baltimore, pp. 101–114.
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, 1–31.Google Scholar
Comte-Bellot, G., Sabot, J. & Saleh, I. 1979 Detection of intermittent events maintaining Reynolds stress. In Proc. Dynamic Flow Conf. - Dynamic Measurements in Unsteady Flows, 1978, Marseille/Baltimore, pp. 213–229.
Corino, E. R. & Brodkey, R. S. 1969 A visual investigation of the wall region in turbulent flow. J. Fluid Mech. 37, 1–30.Google Scholar
Eckelmann, G. & Wallace, J. M. 1980 A comparison of characteristic features of coherent turbulent structures found using the variable interval time average (VITA) technique and using the pattern recognition technique. In The Role of Coherent Structures in Modelling Turbulence and Mixing (ed. J. Jimenez). Lecture Notes in Physics, vol. 136, pp. 292–303. Springer.
Falco, R. E. 1977 Coherent motions in the outer region of turbulent boundary layers. Phys. Fluids Suppl. 20, S124–S132.Google Scholar
Grass, A. J. 1971 Structural features of turbulent flow over smooth and rough boundaries. J. Fluid Mech. 50, 233–256.Google Scholar
Head, M. R. & Bandyopadhyay, P. 1978 Combined flow visualization and hot-wire measurements in turbulent boundary layers. In Proc. Workshop on Coherent Structures of Turbulent Boundary Layers, Lehigh University, pp. 98–129.
Head, M. R. & Bandyopadhyay, P. 1981 New aspects of turbulent boundary-layer structure. J. Fluid Mech. 107, 297–338.Google Scholar
Kaplan, R. E. 1973 Conditional sampling techniques. In Turbulence in Liquids (ed. G. K. Patterson & J. L. Zakin), pp. 274–283. University of Missouri–Rolla.
Kaplan, R. E. & Laufer, J. 1968 The intermittently turbulent region of the boundary layer. University of Southern California Rep. USCAE110.Google Scholar
Kline, S. J., Reynolds, W. C., Schraub, F. A. & Runstadler, P. W. 1967 The structure of turbulent boundary layers. J. Fluid Mech. 30, 741–774.Google Scholar
Lu. S. S. & Willmarth, W. W. 1973 Measurements of the structure of the Reynolds stress in a turbulent boundary layer. J. Fluid Mech. 60, 481–512.Google Scholar
Offen, G. R. & Kline, S. J. 1973 Experiments on the velocity characteristics of ‘bursts’ and on the interactions between the inner and outer regions of a turbulent boundary layer. Stanford University Dep. Mech. Engng Rep. MD-31.Google Scholar
Offen, G. R. & Kline, S. J. 1975 A comparison and analysis of detection methods for the measurement of production in a boundary layer. In Turbulence in Liquids (ed. G. K. Patterson & J. L. Zakin), pp. 289–318. University of Missouri–Rolla.
Perry, A. E. & Hoffmann, P. H. 1976 An experimental study of turbulent convective heat transfer from a flat plate. J. Fluid Mech. 77, 355–368.Google Scholar
Rajagopalan, S. & Antonia, R. A. 1980 Interaction between large and small scale motions in a two-dimensional turbulent duct flow. Phys. Fluids 23, 1101–1110.Google Scholar
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, 261–281.Google Scholar
Sreenivasan, K. R., Antonia, R. A. & Britz, D. 1979 Local isotropy and large structures in a heated turbulent jet. J. Fluid Mech. 94, 745–775.Google Scholar
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.
Sunyach, M. 1971 Contribution à l’étude des frontières d’écoulements turbulents libres. Thèse Docteur d'Etat, Université de Lyon, France.
Thomas, A. S. W. 1977 Organized structures in turbulent boundary layers. Ph.D. thesis, University of Adelaide, Australia.
Thomas, A. S. W. & Brown, G. L. 1977 Large structure in a turbulent boundary layer. In Proc. 6th Australasian Conf. on Hydraulics and Fluid Mechanics, Adelaide, pp. 407–410.
Van Atta, C. W. 1980 Conditional sampling techniques. In Handbook of Turbulence, vol. 2. Plenum.
Wallace, J. M., Brodkey, R. S. & Eckelmann, H. 1977 Pattern recognized structures in bounded turbulent shear flows. J. Fluid Mech. 83, 673–693.Google Scholar
Wallace, J. M., Eckelmann, H. & Brodkey, R. S. 1972 The wall region in turbulent shear flow. J. Fluid Mech. 54, 39–48.Google Scholar
Willmarth, W. W. & Lu, S. S. 1972 Structure of the Reynolds stress near the wall. J. Fluid Mech. 55, 65–92.Google Scholar