Hostname: page-component-78c5997874-m6dg7 Total loading time: 0 Render date: 2024-11-05T03:50:58.611Z Has data issue: false hasContentIssue false
  • English
  • Français

The response of a turbulent boundary layer to a step change in surface roughness. Part 2. Rough-to-smooth

Published online by Cambridge University Press:  11 April 2006

R. A. Antonia  and
R. E. Luxton
R. A. Antonia
Affiliation:
Department of Mechanical Engineering, The University of Sydney
R. E. Luxton
Affiliation:
Department of Mechanical Engineering, The University of Sydney
Get access Rights & Permissions [Opens in a new window]

Abstract

An experimental study of the structure of the internal layer which grows down-stream from a rough-to-smooth surface change shows it to be essentially different from that studied by Antonia & Luxton (1971 b) for the case of a smooth-to-rough perturbation. The rate of growth of the internal layer is less than that for the smooth-to-rough step and it appears that the more intense initial rough-wall flow dictates the rate of diffusion of the disturbance for a considerable distance. Inside the internal layer the mixing length I is increased relative to the equilibrium distribution I = KY. A turbulent energy budget shows that the advection is comparable with the production or dissipation, whilst there seems to be some diffusion of energy into the internal-layer region close to the wall. The boundary layer, as a whole, recovers much more slowly following a rough-to-smooth change than following a smooth-to-rough change, and at the last measuring station (16 boundary-layer thicknesses from the start of the smooth surface) the distributions of mean velocity and Reynolds shear stress are far from self-preserving.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 53 , Issue 4 , 27 June 1972 , pp. 737 - 757
Copyright
© 1972 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. & Luxton, R. E. 1971a Phys. Fluids, 14, 1027.
Antonia, R. A. & Luxton, R. E. 1971 J. Fluid Mech. 48, 721.
Badrinarayanan, M. A. & RAO, K. N. 1968 Aero. Soc. of India, Joint Technical Sessions, Bangalore.
Bradley, E. F. 1965 Ph.D. thesis, Australian National University.
Bradshaw, P. 1967 N.P.L. Aero Rep. no. 1219.
Bradshaw, P. 1969 J. Atmos. Sci. 26, 1353.
Bradshaw, P. & Ferriss, D. H. 1965 N.P.L. Aero Res. no. 1145.
Busch, N. E. & Panofspy, H. A. 1968 Quart. J. Roy. Met. Soc. 94, 132.
Clauser, F. H. 1956 Advances in Appl. Mech. 4, 1.
Elliott, W. P. 1958 Trans. Am. Geophys. Union, 39, 1048.
Head, M. R. & Rechenberct, I. 1962 J. Fluid Mech. 14, 1.
Jacobs, W. 1939 Z. angew. Math. Mech. 19, 87. (Trans. 1940 N.A.C.A. Tech. Memo. no. 951.)
Luxton, R. E., Swenson, G. G. BE Chadwick, B. S. 1967 The Collection and Processing of Field Data (ed. E. F. Bradley & O. T. Denmead), p. 497. Interscience.
Makita, H. 1968 M. Eng. thesis, University of Tokyo.
Mueller, R. J. & Robertson, J. M. 1962 Proc. 1st South. Conf. Theor. Appl. Mech. Gatlinburg, Tenn. p. 326.
Panofsky, H. A. & Townsend, A. A. 1964 Quart. J. Roy. Met. Soc. 90, 147.
Petrye, S. & Brundrett, E. 1967 Dept. of Mech. Eng, University of Waterloo Research Rep. no. 2.
Tani, I. 1968 Proc. Computation of Turbulent Boundary Layers, Afosr-IFP-Stanford University.
Taylor, R. J. 1962 J. Fluid Mech. 13, 529.
Townsend, A. A. 1956 The Structure of Turbulent Shear Flow. Cambridge University Press.
Townsend, A. A. 1961 J. Fluid Mech. 11, 97.
Townsend, A. A. 1965 J. Fluid Mech. 22, 773.