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Turbulence in a separated boundary layer

Published online by Cambridge University Press:  26 April 2006

M. Dianat
Affiliation:
Department of Mechanical Engineering, University of Surrey, Guildford, Surrey GU2 5XH, UK Present address: Safety Modelling Division, Midlands Research Station, British Gas ple, Solihull. UK.
Ian P. Castro
Affiliation:
Department of Mechanical Engineering, University of Surrey, Guildford, Surrey GU2 5XH, UK

Abstract

This paper presents and discusses the results of an extensive experimental investigation of a flat-plate turbulent boundary subjected to an adverse pressure gradient sufficiently strong to lead to the formation of a large separated region. The pressure gradient was produced by applying strong suction through a porous cylinder fitted with a rear flap and mounted above the boundary layer and with its axis in the spanwise direction. Attention is concentrated on the structure of the turbulent flow within the separated region and it is shown that many features are similar to those that occur in separated regions produced in a very dissimilar manner. These include the fact that structure parameters, like Reynolds stress ratios, respond markedly to the re-entrainment of turbulent fluid transported upstream from the reattachment region, the absence of any logarithmic region in the thin wall boundary layer beneath the recirculation zone and the lack of any effective viscous scaling in this wall region, and the presence of a significant low-frequency motion having timescales much longer than those of the large-eddy structures around reattachment.

Similarities with boundary layers separating under the action of much weaker pressure gradients are also found, despite the fact that the nature of the flow around separation is quite different. These similarities and also some noticeable differences are discussed in the paper, which concludes with some inferences concerning the application of turbulence models to separated flows.

Type
Research Article
Copyright
© 1991 Cambridge University Press

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References

Adams, E. W. & Johnston, J. P., 1988 Flow structure in the near-wall zone of a turbulent separated flow. AIAA J. 26, 932939.Google Scholar
Adams, E. W., Johnston, J. P. & Eaton, J. K., 1984 Experiments on the structure of a turbulent reattaching shear layer. Thermosciences Div., Dept of Mechanical Enging, Stanford University, CA., Rep. MD-43.
Amano, R. S., Goel, P. & Chai, J. C., 1988 Turbulence energy and diffusion transport of third-moments in a separating and reattaching flow. AIAA J. 26, 273283.Google Scholar
Barkey-Wolf, R.: 1987 Swept and unswept separation bubbles. Ph.D. thesis, Cambridge University.
Bradshaw, P.: 1967 The turbulence structure of equilibrium boundary layers. J. Fluid Mech. 29, 625645.Google Scholar
Bradshaw, P. & Wong, F. Y. F. 1972 Reattachment of a turbulent shear layer, J. Fluid Mech. 52, 113135.Google Scholar
Castro, I. P.: 1973 A highly distorted turbulent free shear layer. Ph.D. thesis, Imperial College.
Castro, I. P.: 1981 Measurements in shear layers separating from obstacles in rough wall boundary layers, J. Wind Engng. Indust. Aero. 5, 253272.Google Scholar
Castro, I. P.: 1985 Time domain measurements in separated flows. J. Fluid Mech. 150, 183201.Google Scholar
Castro, I. P. & Bradshaw, P., 1976 The turbulence structure of a highly distorted mixing layer. J. Fluid Mech. 73, 265304.Google Scholar
Castro, I. P. & Cheun, B. S., 1982 The measurement of Reynolds stresses with a pulsed wire anemometer. J. Fluid Mech. 118, 4158.Google Scholar
Castro, I. P. & Dianat, M., 1990 Pulsed wire anemometry near walls. Expt, Fluids 8, 343352.Google Scholar
Castro, I. P., Dianat, M. & Bradbury, L. J. S. 1987 The pulsed wire skin friction measurement technique. In Turbulent Shear Flows V (ed. F. Durst, B. E. Launder, J. L. Lumley, F. W. Schmidt & J. H. Whitelaw), pp. 278290. Springer.
Castro, I. P., Dianat, M. & Haque, A., 1988 Shear layers bounding separated regions. In Turbulent Shear Flows VI (ed. J.-C. Andre, J. Cousteix, F. Durst, B. E. Launder, F. W. Schmidt & J. H. Whitelaw) pp. 299312. Springer.
Castro, I. P. & Haque, A., 1987 The structure of a turbulent shear layer bounding a separation region. J. Fluid Mech. 179, 439468 (referred to herein as CH).Google Scholar
Castro, I. P. & Haque, A., 1988 The structure of a turbulent shear layer bounding a separation region. Part 2. Effects of free-stream turbulence. J. Fluid Mech. 192, 577595.Google Scholar
Chandrsuda, C. & Bradshaw, P., 1981 Turbulent structure of a reattaching mixing layer. J. Fluid Mech. 110, 171194.Google Scholar
Cherry, N. J., Hillier, R. & Latour, M. E. M. P. 1984 Unsteady measurements in a separated and reattaching flow. J. Fluid Mech. 144, 1346.Google Scholar
Chu, J. & Young, A. D., 1976 Measurements in separating two-dimensional turbulent boundary layers. AGARD CP–168, Paper 13.Google Scholar
Dengel, P. & Fernholz, H. H., 1990 An experimental investigation of an incompressible turbulent boundary layer in the vicinity of separation, J. Fluid Mech. 212, 615636.Google Scholar
Devenport, W. J.: 1985 Separation bubbles at high Reynolds number: Measurement and computation. Ph.D thesis, Cambridge University.
Dianat, M. & Castro, I. P., 1989 Measurements in separating boundary layers. AIAA J. 27, 719724.Google Scholar
Driver, D. M. & Seegmiller, H. L., 1985 Features of a reattaching turbulent shear layer in adiverging channel flow. AIAA J. 23, 163171.Google Scholar
Eaton, J. K. & Johnston, J. P., 1980 Turbulent flow reattachment: an experimental study of the flow and structure behind a backward facing step. Rep. MD-39. Thermo-Sciences Div., Dept Mech. Engng, Stanford University.
Eaton, J. K. & Johnston, J. P., 1982 Low frequency unsteadiness of a reattaching turbulent shear layer. In Turbulent Shear Flows 3 (ed. L. J. S. Bradbury, F. Durst, B. E. Launder, F. W. Schmidt & J. H. Whitelaw), p. 162. Springer.
Fox, R. W. & Kline, S. J., 1962 Flow regimes in curved subsonic diffusers. Trans. ASME D: J. Basic Engng 84, 303312.Google Scholar
Jaroch, M.: 1985 Development and testing of pulsed wire probes for measuring fluctuating quantities in highly turbulent flows. Expt Fluids 3, 315322.Google Scholar
Jaroch, M. & Fernholz, H. H., 1989 The three-dimensional character of a nominally two-dimensional separated turbulent shear layer. J. Fluid Mech. 205, 523552.Google Scholar
Kays, W. M. & Crawford, M. E., 1980 Connective Heat and Mass Transfer, pp. 178179. McGraw-Hill.
Kiya, M.: 1988 Separation bubbles. Paper presented at the IUTAM Conference on Separated Flows, Grenoble.Google Scholar
Kiya, M. & Sasaki, K., 1983 Structure of a turbulent separation bubble. J. Fluid Mech. 137, 83113.Google Scholar
Kiya, M., Sasaki, K. & Arie, M., 1982 Discrete-vortex simulation of a turbulent separation bubble. J. Fluid Mech. 120, 219244.Google Scholar
Rodi, W.: 1975 A review of experimental data of uniform density free turbulent boundary layers. In Studies in Convection, vol. 1 (ed. B. E. Launder). Academic.
Ruderich, R. & Fernholz, H. H., 1986 An experimental investigation of a turbulent shear flow with separation, reverse flow and reattachment. J. Fluid Mech. 163, 283322.Google Scholar
Shiloh, K., Shivaprasad, B. G. & Simpson, R. L., 1981 The structure of a separating turbulent boundary layer. Part 3. Transverse velocity measurements. J. Fluid Mech. 113, 7590.Google Scholar
Simpson, R. L.: 1983 A model for the backflow mean velocity profile. AIAA J. 21, 142143.Google Scholar
Simpson, R. L.: 1985 Two-dimensional turbulent separated flow. AGARDograph 287.Google Scholar
Simpson, R. L., Chew, Y. T. & Shivaprasad, B. G., 1981a The structure of a separating turbulent boundary layer. Part 1. Mean flow and Reynolds stresses. J. Fluid Mech. 113, 2352.Google Scholar
Simpson, R. L., Chew, Y. T. & Shivaprasad, B. G., 1981b The structure of a separating turbulent boundary layer. Part 2. Higher-order turbulence results. J. Fluid Mech. 113, 5374.Google Scholar
Simpson, R. L., Strickland, J. H. & Barr, P. W., 1977 Features of a separating turbulent boundary layer in the vicinity of separation. J. Fluid Mech. 79, 553594.Google Scholar
Townsend, A. A.: 1956 The Structure of Turbulent Shear Flow. Cambridge University Press.
Willmarth, W. W. & Roos, F. W., 1965 Resolution and structure of the wall pressure field beneath a turbulent boundary layer. J. Fluid Mech. 22, 8194.Google Scholar
Wood, D. H. & Bradshaw, P., 1982 A turbulent mixing layer constrained by a solid surface. J. Fluid Mech. 182, 5789.Google Scholar
Woodward, D. S.: 1970 An investigation of the flow in separation bubbles. Ph.D. thesis, Queen Mary College, London.