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Structure of turbulent boundary layers on smooth and rough walls

Published online by Cambridge University Press:  26 April 2006

P.-Å. Krogstad
Affiliation:
Division of Mechanics, Thermo- and Fluid Dynamics, Norwegian Institute of Technology, N-7034 Trondheim, Norway
R. A. Antonia
Affiliation:
Department of Mechanical Engineering, University of Newcastle, NSW, 2308, Australia

Abstract

The structure of turbulent boundary layers which develop with zero pressure gradient on a smooth wall and a k-type rough wall was examined using arrays of X-wires. Although the data were obtained only on two orthogonal planes, the technique provides some information on the three-dimensionality of the large-scale structures. The major effect of the roughness is to tilt the inclination of the structures towards the wall-normal direction. This is caused by the reduced damping of the wall-normal velocity fluctuations close to the rough surface and the break-up of structures whose scales are comparable to the size of the roughness elements. Both effects cause a reduction in the streamwise lengthscales, as suggested by all the measured two-point correlations. The correlations also show that the roughness tends to reduce the overall anisotropy of the large-scale motion. There is evidence to suggest that the magnitude of the vorticity field is larger over the rough wall.

Type
Research Article
Copyright
© 1994 Cambridge University Press

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References

Acharya, M. & Escudier, M. 1987 Turbulent flow over mesh roughness. In Turbulent Shear Flows 5 (ed. F. Durst, B. E. Launder, J. L. Lumley, F. W. Schmidt & J. H. Whitelaw), pp. 176185. Springer.
Antonia, R. A. 1972 Conditionally sampled measurements near the outer edge of a turbulent boundary layer. J. Fluid Mech. 56, 118.Google Scholar
Antonia, R. A. & Bisset, D. K. 1991 Three-dimensional aspects of the organized motion in a turbulent boundary layer. In Turbulence and Coherent Structures (ed. O. Métais & M. Lesieur), pp. 141157. Dordrecht: Kluwer.
Antonia, R. A., Bisset, D. K. & Browne, L. W. B. 1990a Effect of Reynolds number on the organized motion in a turbulent boundary layer. J. Fluid Mech. 213, 267286.Google Scholar
Antonia, R. A., Browne, L. W. B. & Bisset, D. K. 1990b Effect of Reynolds number on the organized motion in a turbulent boundary layer. In Near-Wall Turbulence (ed. S. J. Kline & N. H. Afgan), pp. 488506. Hemisphere.
Antonia, R. A. & Fulachier, L. 1989 Topology of a turbulent boundary layer with and without wall suction. J. Fluid Mech. 198, 429451.Google Scholar
Antonia, R. A. & Rajagopalan, S. 1990 Performance of lateral vorticity probe in a turbulent wake. Exps Fluids 9, 118120.Google Scholar
Balint, J.-L., Wallace, J. M. & Vukoslavcevic, P. 1991 The velocity and vorticity vector fields of a turbulent boundary layer. Part 2. Statistical properties. J. Fluid Mech. 228, 5386.Google Scholar
Bandyopadhyay, P. R. 1987 Rough-wall turbulent boundary layers in the transitional regime. J. Fluid Mech. 180, 231266.Google Scholar
Bisset, D. K., Antonia, R. A. & Browne, L. W. B. 1990 Spatial organization of large structures in the turbulent far wake of a cylinder. J. Fluid Mech. 218, 439461.Google Scholar
Dumas, R. 1989 Observations on the boundary layer based on measured correlations with various improvements. In Near-Wall Turbulence (ed. S. J. Kline & N. H. Afgan), pp. 437452. Hemisphere.
Frenkiel, F. N. 1948 On the kinematics of turbulence. J. Aero. Sci. 52, 5764.Google Scholar
Furuya, Y. & Fujita, H. 1967 Turbulent boundary layers on a wire-screen roughness. Bull. JSME 10, 7786.Google Scholar
Grant, H. L. 1958 The large eddies of turbulent motion. J. Fluid Mech. 4, 149190.Google Scholar
Grass, A. J. 1971 Structural features of turbulent flow over smooth and rough boundaries. J. Fluid Mech. 50, 233255.Google Scholar
Grass, A. J., Stuart, R. J. & Mansour-Tehrani, M. 1993 Common vortical structure of turbulent flows over smooth and rough boundaries. AIAA J. 31 (5), 837847.Google Scholar
Hama, F. R. 1954 Boundary layer characteristics for smooth and rough surfaces. Trans. Soc. Naval Arch. Marine Engrs 62, 333358.Google Scholar
Hinze, J. O. 1975 Turbulence, 2nd edn. McGraw-Hill.
Johansson, A. V., Alfredsson, P. H. & Kim, J. 1991 Evolution and dynamics of shear-layer structures in near-wall turbulence. J. Fluid Mech. 224, 579599.Google Scholar
Kim, J. 1989 On the structure of pressure fluctuations in simulated turbulent channel flow. J. Fluid Mech. 205, 421451.Google Scholar
Kim, J. & Hussain, F. 1992 Propagation velocity and space-time correlation of perturbations in turbulent channel flow. NASA TM 103932.
Klewicki, J. C. 1989 Velocity-vorticity correlations related to the gradients of the Reynolds stresses in parallel turbulent wall flows. Phys. Fluids A 1, 12851288.Google Scholar
Klewicki, J. C. & Falco, R. E. 1990 On accurately measuring statistics associated with small-scale structure in turbulent boundary layers using hot-wire probes. J. Fluid Mech. 219, 119142.Google Scholar
Kovasznay, L. S. G., Kibens, V. & Blackwelder, R. F. 1970 Large-scale motion in the intermittent region of a turbulent boundary layer. J. Fluid Mech. 41, 283326.Google Scholar
Krogstad, P.-Å., Antonia, R. A. & Browne, L. W. B. 1992a Comparison between rough- and smooth-wall turbulent boundary layers. J. Fluid Mech. 245, 599617.Google Scholar
Krogstad, P.-Å., Antonia, R. A. & Browne, L. W. B. 1992b Structure investigation in a turbulent boundary using orthogonal X-wire arrays. In Proc. 11th Australasian Fluid Mech. Conf. Hobart, Tasmania (ed. M. R. Davis & G. J. Walker), pp. 251254.
Krogstad, P.-Å., Antonia, R. A. & Browne, L. W. B. 1993 The use of orthogonal X-wire arrays for structure investigation in a turbulent boundary layer. Exps Fluids 15, 231239.Google Scholar
Krogstad, P.-Å. & Browne, L. W. B. 1991 Turbulent boundary layer flow over a rough surface. Rep. TN FM 91/1, Department of Mechanical Engineering, University of Newcastle, Australia.
Lu, S. S. & Willmarth, W. W. 1973 Measurements of the structure of the Reynolds stress in a turbulent boundary layer. J. Fluid Mech. 60, 481511.Google Scholar
Michel, R., Quemard, C. & Durant, R. 1968 Hypotheses on the mixing length and application to the calculation of the turbulent boundary layers. In Proc. Computation of Turbulent Boundary Layers (ed. S. J. Kline, M. V. Morkovin, G. Sovran & D. J. Cockrell). Stanford.
Osaka, H. & Mochizuki, S. 1988 Coherent structure of a d-type rough wall boundary layer. In Transport Phenomena in Turbulent Flows: Theory, Experiment and Numerical Simulation (ed. M. Hirata & N. Kasagi), pp. 199211. Hemisphere.
Perry, A. E., Lim, K. L. & Henbest, S. M. 1987 An experimental study of the turbulence structure in smooth- and rough-wall boundary layers. J. Fluid Mech. 177, 437466.Google Scholar
Pimenta, M. M., Moffat, R. J. & Kays, W. M. 1979 The structure of a boundary layer on a rough wall with blowing and heat transfer. J. Heat Transfer 101, 193198.Google Scholar
Rajagopalan, S. & Antonia, R. A. 1993 RMS spanwise vorticity measurements in a turbulent boundary layer. Exps Fluids 14, 142144.Google Scholar
Raupach, M. R., Antonia, R. A. & Rajagopalan, S. 1991 Rough-wall turbulent boundary layers. Appl. Mech. Rev. 44, 125.Google Scholar
Rotta, J. C. 1962 Turbulent boundary layers in incompressible flow. Prog. Aero. Sci. 2, 1219.Google Scholar
Sano, M. & Hirayama, N. 1986 The structure of the outer intermittent region of turbulent boundary layers with injection and suction through a slit. Bull. JSME 29, 24692475.Google Scholar
Tani, I. 1988 Turbulent boundary layer development over rough surfaces. In Perspectives in Turbulence Studies (ed. H. U. Meier & P. Bradshaw), pp. 223249. Springer.
Tennekes, H. & Lumley, J. L. 1972 A First Course in Turbulence. MIT Press.
Townsend, A. A. 1976 The Structure of Turbulent Shear Flow, 2nd edn. Cambridge University Press.