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The relaxation of a turbulent boundary layer in an adverse pressure gradient

Published online by Cambridge University Press:  26 April 2006

Andrew D. Cutler  and
James P. Johnston
Andrew D. Cutler
Affiliation:
The George Washington University JIAFS, NASA Langley Research Center, Hampton, VA 23665, USA
James P. Johnston
Affiliation:
Department of Mechanical Engineering, Stanford University, Stanford, CA 94305, USA
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Abstract

The relaxation of a reattached turbulent boundary layer downstream of a wall fence has been investigated. The boundary layer has an adverse pressure gradient imposed upon it which is adjusted in an attempt to bring the boundary layer into equilibrium. This is done by adjusting the pressure gradient so as to bring the Clauser parameter (G) down to a value of about 11.4 and then maintain it constant. In the region from the reattachment point to 2 or 3 reattachment lengths downstream, the boundary layer recovers from the initial major effects of reattachment. Farther downstream (where G is constant) the pressure-gradient parameter changes very slowly and profiles of non-dimensionalized eddy viscosity appear self-similar. However, pressure gradient and eddy viscosity are both roughly twice as large as expected on the basis of previous studies of equilibrium turbulent boundary layers. It is not known whether equilibrium has been achieved in this downstream region. This is another illustration of the great sensitivity of boundary-layer structure to perturbations.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 200 , March 1989 , pp. 367 - 387
Copyright
© 1989 Cambridge University Press

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References

Barlow, R. S. & Johnston, J. P., 1985 Roll-cell structure in a concave turbulent boundary layer. AIAA-85–0297.Google Scholar
Bradshaw, P.: 1967 The structure of equilibrium boundary layers. J. Fluid Mech. 29, 625–645.Google Scholar
Bradshaw, P.: 1971 An Introduction to Turbulence and Its Measurement. Pergamon.
Bradshaw, P.: 1975 Review - complex turbulent flows. Trans. ASME I: J. Fluids Engng 97, 146–154.Google Scholar
Bradshaw, P., Ferriss, D. H. & Atwell, N. P., 1967 Calculation of boundary layer development using the turbulent energy equation. J. Fluid Mech. 28, 593–616.Google Scholar
Bradshaw, P. & Wong, F. Y., 1972 The reattachment and relaxation of a turbulent shear layer. J. Fluid Mech. 52, 113–135.Google Scholar
de Brederode, V. & Bradshaw, P. 1978 Influence of side walls on the turbulent center-plane boundary-layer in a square duct. Trans. ASME I: J. Fluids Engng 100, 91–96.Google Scholar
Castro, I. P.: 1981 Measurements in shear layers separating from surface mounted bluff bodies. J. Wind Engng Ind. Aero. 7, 253–272.Google Scholar
Castro, I. P. & Fackrell, J. E., 1978 A note on two-dimensional fence flows, with emphasis on wall constraint. J. Ind. Aero. 3, 1–20.Google Scholar
Cebeci, T. & Bradshaw, P., 1977 Momentum Transfer in Boundary Layers. Hemisphere.
Clauser, F. H.: 1954 Turbulent boundary layers in adverse pressure gradients. J. Aeronaut. Sci. 21, 91–108.Google Scholar
Clauser, F. H.: 1956 The turbulent boundary layer. Adv. Appl. Mech. 4, 1–51.Google Scholar
Coles, D. E. & Hirst, E. A. (eds.) 1968 Proceedings, Computation of Turbulent Boundary Layers- 1968 AFOSR-IFP-Stanford Conference, vol II. Dept. of Mech. Engng, Stanford University.
Cutler, A. D.: 1984 Adverse pressure gradient and separating turbulent boundary layer flows: the effect of disequilibrium in initial conditions. Ph.D. Thesis (also Rep. MD-31), Dept of Mech. Engng, Stanford University, available from University Microfilms.
Driver, D. M. & Seegmiller, H. L., 1985 Features of a reattaching shear layer in a divergent channel flow. AIAA J. 23, 163–171.Google Scholar
East, L. F.: 1981 A representation of second-order boundary layer effects in the momentum integral equation and in viscous-inviscid interactions. RAE Tech. Rep. 81002.Google Scholar
East, L. F. & Sawyer, W. G., 1979 An investigation of the structure of equilibrium turbulent boundary layers. Turbulent Boundary Layers: Experiment, Theory and Modeling, AGARD CP-271.Google Scholar
Galbraith, R. A. McD. & Head, M. R. 1975 Eddy viscosity and mixing length from measured boundary layer developments. Aero. Q. 26, 133–154.Google Scholar
Hunt, J. C. R., Spalart, P. R. & Mansour, N. N., 1987 A general form for the dissipation length scale in turbulent shear flows. Center For Turbulence Research, Proc. Summer Program 1987.Google Scholar
Hunt, J. C. R., Stretch, D. D. & Britter, R. E., 1988 Length scales in stably stratified turbulent flows and their use in turbulence models, Proc. IMA Conference on Stably Stratified Flows and Dense Gas Dispersion, Chester, April 9–10.Google Scholar
Hussain, A. K. M. F. & Reynolds, W. C. 1975 Measurements in a fully developed turbulent channel flow. Trans. ASME I: J. Fluids Engng 97, 568–580.Google Scholar
Kim, J., Kline, S. J. & Johnston, J. P., 1980 Investigation of a reattaching turbulent shear layer: flow over a backward facing step. Trans. ASME I: J. Fluids Engng 102, 302–308.Google Scholar
Moser, R. D. & Moin, P., 1984 Direct numerical simulation of curved turbulent channel flow. Rep. TF-20. Dept. of Mech. Engng, Stanford University.
Nash, J. F.: 1965 Turbulent-boundary-layer behaviour and the auxiliary equation. In AGARDograph 97, Part 1, pp. 245–249.Google Scholar
Shiloh, K., Shivaprasad, B. G. & Simpson, R. L., 1981 The structure of a separating turbulent boundary layer. Part 3. The transverse velocity measurements. J. Fluid Mech. 113, 75–90.Google Scholar
Simpson, R. L.: 1985 Two-dimensional separated flow. AGARDograph 287, Vol. 1.Google Scholar
Smits, A. J. & Wood, D. H., 1985 The response of turbulent boundary layers to sudden perturbations. Ann. Rev. Fluid Mech. 17, 321–358.Google Scholar
Townsend, A. A.: 1960 Equilibrium layers and wall turbulence. J. Fluid Mech. 11, 97–120.Google Scholar
Townsend, A. A.: 1976 The Structure of Turbulent Shear Flow (2nd edn.). Cambridge University Press.
Westphal, R. V. & Johnston, J. P., 1983 Experimental study of flow reattachment in a single-sided sudden expansion. Rep. PD -41, Dept. of Mech. Engng, Stanford University.
White, F. M.: 1974 Viscous Fluid Flow. McGraw-Hill.