Hostname: page-component-6b989bf9dc-wj8jn Total loading time: 0 Render date: 2024-04-14T08:27:39.825Z Has data issue: false hasContentIssue false

Measurements in the turbulent boundary layer on an ‘infinite’ swept wing

Published online by Cambridge University Press:  20 April 2006

P. Bradshaw
Affiliation:
Department of Aeronautics, Imperial College, London SW7 2BY, England
N. S. Pontikos
Affiliation:
Department of Aeronautics, Imperial College, London SW7 2BY, England

Abstract

The results are presented of turbulence measurements on an ‘infinite’ swept wing, simulated by a duct attached to a blower tunnel. The configuration is close to that used at the Netherlands NLR except that the boundary layer does not quite separate. The measurements include triple products, and a balance of the transport equation for turbulent energy is presented. The results confirm the NLR finding of a significant decrease in the magnitude of shear stress compared with an equivalent two-dimensional boundary layer: this is evidently the effect of crossflow on large eddies that have initially developed in a two-dimensional boundary layer. This unexpected effect of three-dimensionality is at least as important in prediction of real-life flows as the better-known lag between the direction of the shear stress and that of the mean-velocity gradient. Tentative suggestions for modelling the reduction in shear-stress magnitude are advanced.

Type
Research Article
Copyright
© 1985 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

Berg, B. V. D., Elsenaar, A., Lindhout, J. P. F. & Wesseling, P. 1975 Measurements in an incompressible three-dimensional turbulent boundary layer under infinite swept-wing conditions, and comparison with theory. J. Fluid Mech. 70, 127.Google Scholar
Bradshaw, P. 1972 Two more low-turbulence wind tunnels driven by centrifugal blowers. Imperial College Aero Rep. 72–10.
Bradshaw, P. & Terrell, M. G. 1969 The response of a turbulent boundary layer on an ‘infinite’ swept wing to the sudden removal of pressure gradient. NPL Aero Rep. 1305.
Cebeci, T. 1984 Problems and opportunities with three dimensional boundary layers. Presented at AGARD Fluid Dynamics Panel meeting, Von Kármán Institute, May 1984.
East, L. F. 1975 Computation of three-dimensional turbulent boundary layers. Euromech 60, Trondheim 1975. FFA TN AE-1211.
Elsenaar, A. & Boelsma, S. H. 1974 Measurements of the Reynolds stress tensor in a three-dimensional turbulent boundary layer under infinite swept wing conditions. NLR TR 74095U.
Fanneløp, T. K. & Krogstad, P. A. 1975 Three-dimensional turbulent boundary layers in external flows: a report on Euromech 60. J. Fluid Mech. 71, 815.Google Scholar
Fernholz, H. H. (ed.) 1982 Proc. IUTAM Symp. on Three Dimensional Boundary Layers. Springer.
Goldberg, U. C. & Reshotko, E. 1984 Scaling and modeling of three dimensional pressure driven turbulent boundary layers. AIAA J. 22, 914.Google Scholar
Gruschwitz, E. 1935 Turbulente Reibungsschichten mit Sekundärströmungen. Ing.-Arch. 6, 355.Google Scholar
Hawthorne, W. R. 1951 Secondary circulation in fluid flow. Proc. R. Soc. Lond. A 206, 374.Google Scholar
Johnston, J. P. 1957 Three dimensional turbulent boundary layers. MIT Gas Turbine Lab. Rep. 39.
Johnston, J. P. 1960 On the three dimensional turbulent boundary layer generated by secondary flow. Trans. ASME D: J. Basic Engng 82, 233.Google Scholar
Johnston, J. P. 1970 Measurements in a three-dimensional turbulent boundary layer induced by a swept, forward-facing step. J. Fluid Mech. 42, 823.Google Scholar
Johnston, J. P. 1976 Experimental studies in three-dimensional turbulent boundary layers. Stanford Univ. Thermosci. Divn Rep. MD-34 (also, Lockheed Georgia Co. Rep. LG77 ER 0044, 1977).
Pierce, F. J., Mcallister, J. E. & Tennant, M. H. 1983 A review of near-wall similarity models in three dimensional turbulent boundary layers. Trans. ASME I: J. Fluids Engng 105, 251.Google Scholar
Pontikos, N. S. 1982 The structure of three dimensional turbulent boundary layers. Ph.D. Thesis, Imperial College, London. (Available on microfiche from Department of Aeronautics.)
Pontikos, N. S. & Bradshaw, P. 1981 Miniature pressure probe for measuring the shear stress vector in turbulent flow. Aero. Quart. 32, 43.Google Scholar
Rotta, J. C. 1979 A family of turbulence models for three dimensional thin shear layers. In Turbulent Shear Flows I (ed. F. Durst, B. E. Launder, F. W. Schmidt & J. H. Whitelaw), Springer. Also DFVLR-AVA IB 251-76A25 (1976).
Shabaka, I. M. M. A., Mehta, R. D. & Bradshaw, P. 1985 Longitudinal vortices imbedded in turbulent boundary layers. J. Fluid Mech. 155, 37.Google Scholar
Smits, A. J., Young, S. T. B. & Bradshaw, P. 1979 The effect of short regions of high surface curvature on turbulent boundary layers. J. Fluid Mech. 94, 209.Google Scholar
Squire, H. B. & Winter, K. G. 1951 The secondary flow in a cascade of aerofoils in a uniform stream. J. Aero. Sci. 18, 271.Google Scholar