Hostname: page-component-8448b6f56d-cfpbc Total loading time: 0 Render date: 2024-04-17T02:30:57.863Z Has data issue: false hasContentIssue false

Comparison between rough- and smooth-wall turbulent boundary layers

Published online by Cambridge University Press:  26 April 2006

P.-å. Krogstad
Affiliation:
Division of Hydro- and Gas Dynamics, Norwegian Institute of Technology, Trondheim, 7034, Norway
R. A. Antonia
Affiliation:
Department of Mechanical Engineering, University of Newcastle, NSW 2308, Australia
L. W. B. Browne
Affiliation:
Department of Mechanical Engineering, University of Newcastle, NSW 2308, Australia

Abstract

Measurements in a zero-pressure-gradient turbulent boundary layer over a mesh-screen rough wall indicate several differences, in both inner and outer regions, in comparison to a smooth-wall boundary layer. The mean velocity distribution indicates that, apart from the expected k-type roughness function shift in the inner region, the strength of the rough-wall outer region ‘wake’ is larger than on a smooth wall. Normalizing on the wall shear stress, there is a significant increase in the normal turbulence intensity and a moderate increase in the Reynolds shear stress over the rough wall. The longitudinal turbulence intensity distribution is essentially the same for both surfaces. Normalized contributions to the Reynolds shear stress from the second (Q2) and fourth (Q4) quadrants are greater over the rough wall. The data indicate that not only are Q2 and Q4 events stronger on the rough wall but their frequency of occurrence is nearly twice as large for the rough wall as for the smooth wall. Comparison between smooth- and rough-wall spectra of the normal velocity fluctuation suggests that the strength of the active motion may depend on the nature of the surface.

Type
Research Article
Copyright
© 1992 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

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.
Andreopoulos, J. & Bradshaw P. 1981 Measurements of turbulence structure in the boundary layer on a rough surface. Boundary-Layer Met. 20, 201213.Google Scholar
Antonia R. A., Bisset, D. K. & Browne L. W. B. 1990 Effect of Reynolds number on the topology of the organised motion in a turbulent boundary layer. J. Fluid Mech. 213, 267286.Google Scholar
Bandyopadhyay P. R. 1987 Rough-wall turbulent boundary layers in the transition regime. J. Fluid Mech. 180, 231266.Google Scholar
Bandyopadhyay, P. R. & Watson R. D. 1988 Structure of rough-wall turbulent boundary layers. Phys. Fluids 31, 18771883.Google Scholar
Bradshaw P. 1967 Inactive motion and pressure fluctuations in turbulent boundary layers. J. Fluid Mech. 30, 241258.Google Scholar
Bradshaw P. 1987 Wall flows. In Turbulent Shear Flows 5 (ed. F. Durst, B. E. Launder, J. L. Lumley, F. W. Schmidt & J. H. Whitelaw), pp. 171175. Springer.
Browne L. W. B., Antonia, R. A. & Chua L. P. 1989a Calibration of x -probes for turbulent flow measurements. Expts. Fluids 7, 201208.Google Scholar
Browne L. W. B., Antonia, R. A. & Chua L. P. 1989b Velocity vector cone angle in turbulent flows. Expts. Fluids 8, 1316.Google Scholar
Clauser F. H. 1956 The turbulent boundary layer. Adv. Appl. Mech. 4, 151.Google Scholar
Coles D. E. 1956 The law of the wake in the turbulent boundary layer. J. Fluid Mech. 1, 191226.Google Scholar
Coles D. E. 1987 Coherent structures in turbulent boundary layers. In Perspectives in Turbulence Studies (ed. H. U. Meier & P. Bradshaw), pp. 93114. Springer.
Finley P. J., Khoo Chong Phoe & Chin Jeck Poh 1966 Velocity measurements in a thin turbulent wake layer. La Houille Blanche 21, 713721.Google Scholar
Furuya, Y. & Fujita H. 1967 Turbulent boundary layers on a wire-screen roughness. Bull JSME 10, 7786.Google Scholar
Granville P. S. 1976 A modified law of the wake for turbulent shear layers. Trans. ASME I: J. Fluids Engng 98, 578580.Google Scholar
Granville P. S. 1988 Eddy viscosities and mixing lengths for turbulent boundary layers on flat plates, smooth or rough. J. Ship Res. 32, 229237.Google Scholar
Grass A. J. 1971 Structural features of turbulent flow over smooth and rough boundaries. J. Fluid Mech. 50, 233255.Google Scholar
Hama F. R. 1954 Boundary layer characteristics for smooth and rough surfaces. Trans. Soc. Naval Archit. Mar. Engrs 62, 333358.Google Scholar
Klebanoff P. S. 1955 Characteristics of turbulence in a boundary layer with zero pressure gradient. NACA Rep. 1247.Google Scholar
Kline, S. J. & Robinson S. K. 1990 Quasi-coherent structures in the turbulent boundary layer. Part I: Status report on a community-wide summary of the data. In Near-Wall Turbulence (ed. S. J. Kline & N. H. Afgan), pp. 200217. Hemisphere.
Krogstad, P.-áR. & 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, NSW.Google Scholar
Ligrani, P. M. & Moffat R. J. 1986 Structure of transitionally rough and fully rough turbulent boundary layers. J. Fluid Mech. 162, 6998.Google Scholar
Lu, S. S. & Willmarth W. W. 1973 Measurements of the structure of the Reynolds stress in a turbulent boundary layer. J. Fluid Mech. 60, 481571.Google Scholar
Nakagawa, H. & Zezu I. 1977 Prediction of the contributions to the Reynolds stress from bursting events in open-channel flows. J. Fluid Mech. 80, 99128.Google Scholar
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. & Abell C. J. 1977 Asymptotic similarity of turbulence structures in smooth- and rough-walled pipes. J. Fluid Mech. 79, 785799.Google Scholar
Perry, A. E. & Li J. D. 1990 Experimental support for the attached-eddy hypothesis in zero-pressure-gradient turbulent boundary layers. J. Fluid Mech. 218, 405438.Google Scholar
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. 1975 The turbulent boundary layer: an experimental study of the transport of momentum and heat with the effect of roughness, Rep. HMT-21. Thermosciences Division, Stanford University.
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. Trans. ASME C: J. Heat Transfer 101, 193198.Google Scholar
Raupach M. R. 1981 Conditional statistics of Reynolds stress in rough-wall and smooth-wall turbulent boundary layers. J. Fluid Mech. 108, 363382.Google Scholar
Raupach M. R., Antonia, R. A. & Rajagopalan S. 1991 Rough-wall turbulent boundary layers. Appl. Mech. Rev. 44, 125.Google Scholar
Sabot J., Saleh, I. & Comte-Bellot G. 1977 Effect of roughness on the intermittent maintenance of Reynolds shear stress in pipe flow. Phys. Fluids 20, S150S155.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.
Tani I., Munakata H., Matsumoto, A. & Abe K. 1988 Turbulence management by groove roughness. In Turbulence Management and Relaminarisation (ed. H. W. Liepmann & R. Narasimha), pp. 161172. Springer.
Teitel, M. & Antonia R. A. 1991 Comparison between a turbulent boundary layer and a turbulent duct flow. Expts. Fluids 11, 203204.Google Scholar
Townsend A. A. 1976 The Structure of Turbulent Shear Flow. Cambridge University Press.
Wallace J. M., Eckelmann, H. & Brodkey R. S. 1972 The wall region in turbulent shear flow. J. Fluid Mech. 54, 3948.Google Scholar
Willmarth, W. W. & Lu S. S. 1972 Structure of the Reynolds stress near the wall. J. Fluid Mech. 55, 6592.Google Scholar