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Fully developed asymmetric flow in a plane channel

Published online by Cambridge University Press:  29 March 2006

K. Hanjalić
Affiliation:
Masinski fakultet, Sarajevo, Jugoslavia
B. E. Launder
Affiliation:
Imperial College, London

Abstract

The paper presents the results of a detailed experimental examination of fully developed asymmetric flow between parallel planes. The asymmetry was introduced by roughening one of the planes while the other was left smooth; the ratio of the shear stresses at the two surfaces was typically about 4:1.

The main emphasis of the research has been on establishing the turbulence structure, particularly in the central region of the channel where the two dissimilar wall flows (generated by the smooth and rough surfaces) interact. Measurements have included profiles of all non-zero double and triple velocity correlations; spectra of the same correlations at several positions in the channel; skewness and flatness factors; and lateral two-point space correlations of the streamwise velocity fluctuation.

The region of greatest interaction is characterized by strong diffusional transport of turbulent shear stress and kinetic energy from the rough towards the smooth wall region, giving rise, inter alia, to an appreciable separation between the planes of zero shear stress and maximum mean velocity. The profiles of length scales of the larger-scale motion are, in contrast to the turbulent velocity field, nearly symmetric. Moreover, it appears that at high Reynolds numbers the small-scale motion may in many respects be treated as isotropic.

Type
Research Article
Copyright
© 1972 Cambridge University Press

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References

Beguier, M. C. 1965 Mesures des tensions de Reynolds dans un écoulement dissymétrique en régime turbulent incompressible. J. Mécanique, 4, 320334.Google Scholar
Bradshaw, P. 1969 Conditions for the existence of an inertial subrange in turbulent flow. N.P.L. Aero. Rep. 1220 (ARC 28664).
Bradshaw, P. & Ferriss, D. H. 1965 The spectral energy balance in a turbulent mixing layer. N.P.L. Aero Rep. 1144-Aero. Res. Counc. 26743.
Champagne, F. H., Harris, V. G. & Corrsin, S. 1970 Experiments on nearly homogeneous turbulent shear flow. J. Fluid Mech. 41, 131141.Google Scholar
Champagne, F. H., Sleicher, C. A. & Wehrmass, O. H. 1967 Turbulence measurements with inclined hot-wires. Parts 1 and 2. J. Fluid Mech. 28, 153193.Google Scholar
Clark, J. A. 1968 A study of incompressible turbulent boundary layers in channel flow. J. Bas. Engng. Trans. A.S.M.E. 68-FE-26.Google Scholar
Coantic, M. 1967 A study of turbulcnt pipe flow and of the structure of its viscous sublayer. 4th Euromech Colloquium.
Coles, D. E. 1962 The turbulent boundary layer in a compressible fluid. R.A.N.D. Rep. 403-PR.
Collis, D. C. & Williams, M. J. 1959 Two-dimensional convection from heated wires at low Reynolds numbers. J. Fluid Mech. 6, 357.Google Scholar
Comte-Bellot, G. 1965 Écoulement turbulent entre deux parois-peralèles. Publ. Scientifiques et Techniques du Ministère de l'Air, no. 419. Translated as Aero. Res. Counc. 31 609, FM4102 (1969).
Escudier, M. P. 1966 The turbulent incompressible hydrodynamic boundary layer. Ph.D. Thesis, University of London.
Frenkiel, F. H. 1956 Effects of wire length in turbulence investigations with a hot wire anemometer. Aeron. Quart. 5, 125.Google Scholar
Hanjalć, K. 1970 Two-dimensional asymmetric flow in ducts. Ph.D. Thesis, University of London.
Hanjalić, K. & Launder, B. E. 1968 Fully-developed flow in rectangular ducts of non-uniform surface texture. Part I. An experimental investigation. Imperial College, Dept. of Mech. Engng. TWF/TN/48.
Hanratty, T. J. & Engen, J. M. 1957 J. Am. Instn. Chem. Engrs. 3, 299.
Head, M. R. & Rechenberg, I. 1962 The Preston tube as a means of measuring skin friction. J. Fluid Mech. 14, 117.Google Scholar
Kjellstrom, B. & Hedberg, S. 1968 Turbulence and shear stress measurements in a circular channel for testing of hot-wire anemometer measurements techniques and evaluation methods. Aktiebolagat Atomenergi Rep. RTL-1001.
Klebanoff, P. S. 1955 Characteristics of turbulence in a boundary layer with zero pressure gradient. N.A.C.A. Rep. 1247.
Laufer, J. 1951 Investigation of turbulent flow in a two-dimensional channel. N.A.C.A. Rep. 1053.
Laufer, J. 1954 The structure of turbulence in fully developed pipe flow. N.A.C.A. Rep. 1174.
Lawn, C. J. 1970 Application of the turbulence energy equation to fully developed flow in simple ducts. C.E.G.B. RD/B 1575.
MacMillan, F. A. 1954 Viscous effects on flattened Pitot tubes at low speeds. J. Roy. Aero. Soc. 58, 8379.Google Scholar
MacMillan, F. A. 1956 Experiments on Pitot tubes in shear flow. Aero. Res. Counc. R. & M. 3028.
Mathieu, J. 1961 Contribution a l'étude aérothermique d'un jet plan évoluant en presence d'un paroi. Publ. Scientifiques et Techniques du Ministère de l'Air, no. 374.
Patel, V. C. 1965 Calibration of the Preston tube and limitations on its use in pressure gradient. J. Fluid Mech. 23, 185208.Google Scholar
Perry, A. E. & Joubert, P. N. 1963 Rough-wall boundary layers in adverse pressure gradients. J. Fluids Mech. 17, 193211.Google Scholar
Tailland, A. & Mathieu, J. 1967 Jet pariétal. J. Mécanique, 6, no. 1.Google Scholar
Townsend, A. A. 1956 The Structure of Turbulent Shear Plow. Cambridge University Press.
Van Trinh, N. M. 1967 Sur le mesure de la vitesse dans un B coulement turbulent par anémometrie à fil chaud, au voisinage d'une paroi lisse. C.R. Acad. Sci. Paris, 264, 11501152.Google Scholar
Wilrie, D., Cowin, M., Burnett, P. & Burgoyne, T. 1967 Friction factor measurements in a rectangular channel with walls of identical and non-identical roughness.
Wyngaard, J. C. 1968 Measurements of small-scale turbulence structure with hot wires. J. Scient. Instrum. (Phys. E.) Ser. 2, 1, 11051108.Google Scholar
Zarie, Z. 1967 Turbulent heat transfer in a divergent convergent channel. Jap Soc. Mech. Engineers, Semi-Int. Symposium, Tokyo.