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Relaxing wakes behind surface-mounted obstacles in rough wall boundary layers

Published online by Cambridge University Press:  19 April 2006

I. P. Castro
Affiliation:
Department of Mechanical Engineering, University of Surrey

Abstract

Detailed measurements in the wakes behind two-dimensional square section blocks (height h) mounted in thick rough wall boundary layers (height δ) are presented for cases in which h/δ [Lt ] 1. The data provides some insight into the relaxing flow downstream of reattachment, confirming the conclusion of Bradshaw & Wong (1972) that reattaching flows are surprisingly complicated and involve considerable distortion of the separated shear layer. In particular, the measurements show that eddy length scales are considerably reduced and, since the flow eventually relaxes to a boundary layer similar to that upstream, turbulence models based on eddy viscosity concepts cannot, in principle, be expected to be satisfactory. Using the present data this is demonstrated by a more detailed comparison with the theoretical predictions of Counihan, Hunt & Jackson (1974) than has been previously possible. It is shown that, whilst their theory does not predict the behaviour of the turbulent stresses, it does give reasonable agreement with the mean velocity perturbations at least in the near wake −10 < x/h < 30. Except in the near wall region, where the roughness provides the dominant length scale, it is argued that the rate at which the perturbation flow decays is governed largely by the amount by which the separated shear layer is distorted prior to reattachment, which in turn is determined by, say, a turbulence Reynolds number of the body, (hU/v0)h, or, in other words, by the characteristics of the upstream flow at, say, the body height.

Type
Research Article
Copyright
© 1979 Cambridge University Press

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References

Baker, S. 1977 Ph.D. thesis, University of Surrey.
Bradshaw, P. 1969 Aero. Res. Counc. R. & M. no. 3603.
Bradshaw, P. 1971 An Introduction to Turbulence and its Measurement. Pergamon.
Bradshaw, P. 1975 J. Fluids Engng, Trans. A.S.M.E. 97, 146.
Bradshaw, P. & Wong, F. Y. F. 1972 J. Fluid Mech. 52, 113.
Castro, I. P. 1973 Ph.D. thesis, Imperial College, London.
Castro, I. P. 1978a The numerical prediction of recirculating flows. In Proc. Conf. on Numerical Methods in Laminar and Turbulent Flows, p. 329. Pentech Press.
Castro, I. P. 1978b G.E.G.B. Rep. R/M/N 1006.
Castro, I. P. 1979 Numerical difficulties in the calculation of complex turbulent flows. In Turbulent Shear Flows. I (ed. Durst et al.). Springer.
Castro, I. P. & Bradshaw, P. 1976 J. Fluid Mech. 73, 265.
Castro, I. P. & Fackrell, J. E. 1978 J. Ind. Aero. 3, 1.
Castro, I. P. & Robins, A. G. 1977 J. Fluid Mech. 79, 307.
Chandrsuda, 1975 Ph.D. thesis, Imperial College, London.
Coles, D. 1956 J. Fluid Mech. 1, 191.
Counihan, J. 1969 Atmos. Environ. 3, 197.
Counihan, J., Hunt, J. C. R. & Jackson, P. S. 1974 J. Fluid Mech. 64, 529.
Crabb, D., Durão, D. F. G. & Whitelaw, J. H. 1977 Velocity characteristics in the vicinity of a two-dimensional rib. Paper presented at the 4th Brazilian Cong. Mech. Eng.
Etheridge, D. W. & Kemp, P. H. 1978 J. Fluid Mech. 86, 545.
Gibson, M. 1979 (To appear).
Good, M. C. & Joubert, P. N. 1968 J. Fluid Mech. 31, 547.
Launder, B. E. & Spalding, D. B. 1972 Mathematical Models of Turbulence. London: Academic Press
Lawn, C. J. 1971 J. Fluid Mech. 48, 477.
Peterka, J. A. & Cermak, J. F. 1975 Turbulence in building wakes. In Proc. 4th Int. Conf. on Wind Effects on Buildings and Structures, Heathrow. Cambridge University Press.
Plate, E. J. 1964 A.S.M.E. Paper no. 64-FE-17.
Raju, R. K. G., Loeser, J. & Plate, E. J. 1976 J. Fluid Mech. 76, 383.
Robins, A. G. 1979 J. Ind. Aero. 4, 71.
Shieh, C. F., Frost, W. & Bitte, J. 1976 Rep. under NAS8-29584, Atmosph. Sci. Div. Univ. Tennessee Space Inst.
Tani, I., Iuchi, M. & Komoda, H. 1961 Aero. Res. Inst. University of Tokyo Rep. no. 364.
Townsend, A. A. 1965 J. Fluid Mech. 22, 773.
Tutu, N. K. & Chevray, R. 1975 J. Fluid Mech. 71, 785.