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Turbulent gravity-stratified shear flows

Published online by Cambridge University Press:  20 April 2006

Vincent H. Chu
Affiliation:
Department of Civil Engineering and Applied Mechanics, McGill University, Montreal, Canada
Raouf E. Baddour
Affiliation:
Faculty of Engineering Science, The University of Western Ontario, London, Canada

Abstract

Two simple turbulent shear flows, namely a surface jet and a mixing layer, under the influence of stable gravity stratification, were investigated experimentally. The shear flows were generated in the laboratory by letting fresh water flow over saline water in a two-dimensional channel. Velocity and salinity measurements were made using a hot-film probe and a single-electrode conductivity probe. The experimental results for the two flows were correlated each using a different set of length and velocity scales. The initial development of the flows was relatively unaffected by the stable stratification. As the shear flows grew in thickness, they were observed to have a tendency to approach a ‘neutrally stable state’ in which the turbulent motion neither extracted energy from nor lost energy to the mean flow. The gradient Richardson number in this neutrally stable state was found to have the critical value predicted by linear inviscid stability theory. The decay of turbulent intensity in the longitudinal direction was observed to follow a power-law relationship similar to the one obtained by Comte-Bellot & Corrsin (1966) for the decay of grid-generated turbulence.

Type
Research Article
Copyright
© 1984 Cambridge University Press

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References

Baddour, R. E & Chu, V. H. 1975 Buoyant surface discharge on a step and on a sloping bottom. Fluid Mech. Lab. Tech. Rep. 75–2 (FML), Dept Civ. Engng & Appl. Mech., McGill Univ.Google Scholar
Baddour, R. E. & Chu, V. H. 1977 Development of turbulent mixing layer at high exit Richardson number. In Proc. 17th Cong. IAHR, vol. 1, pp. 317324.
Baddour, R. E. & Chu, V. H. 1978 Turbulent gravity-stratified shear flows. Fluid Mech. Lab. Tech. Rep. 78–3, Dept Civ. Engng & Appl. Mech., McGill Univ.Google Scholar
Brown, G. L. & Roshko, A. 1974 On density effects and large structure in turbulent mixing layer J. Fluid Mech. 64, 775816.Google Scholar
Businger, J. A., Wyngaard, J. C., Izumi, I. & Bradley, E. 1971 Flux profile relationships in atmospheric surface layer J. Atmos. Sci. 28, 181188.Google Scholar
Champagne, F. H., Pao, Y. H. & Wygnanski, I. J. 1976 On the two-dimensional mixing region J. Fluid Mech. 74, 209250.Google Scholar
Chu, V. H. 1976 The collapse of shear layers in density stratified flows. In Turbulent Buoyant Convection (ed. D. B. Spalding), pp. 625636. Hemisphere.
Chu, V. H. & Baddour, R. E. 1980 Stability of turbulence in plane shear layers. In Proc. 2nd Intl Symp. on Stratified Flows, Trondheim, Norway, vol. 1, pp. 367377.
Chu, V. H. & Vanvari, M. R. 1976 Experimental study of turbulent stratified shear flows J. Hydraul. Div. ASCE 102, 691706.Google Scholar
Comte-Bellot, G. & Corrsin, S. 1966 The use of a contraction to improve the isotropy of grid turbulence J. Fluid Mech. 25, 657682.Google Scholar
Corcos, G. M. & Hopfinger, E. J. 1976 J. de Phys. (Coll. C1, Suppl. 1) 37, C1-95C1-99.
Ellison, T. H. 1957 Turbulent transport of heat and momentum from an infinite rough plane J. Fluid Mech. 2, 456466.Google Scholar
Ellison, T. H. & Turner, J. S. 1959 Turbulent entrainment in stratified flows J. Fluid Mech. 6, 423448.Google Scholar
Ellison, T. H. & Turner, J. S. 1960 Mixing of dense fluid in a turbulent pipe flow, Parts 1 and 2 J. Fluid Mech., 8, 514545.Google Scholar
Gutmark, E. & Wygnanski, I. 1976 The planar turbulent jet J. Fluid Mech. 73, 465495.Google Scholar
Hazel, P. 1972 Numerical studies of the stability of inviscid stratified shear flows J. Fluid Mech. 51, 3961.Google Scholar
Hopfinger, E. J. 1972 Development of a stratified turbulent shear flow. In Proc. Intl Symp. on Stratified Flows, Novosibirsk, pp. 553565.
Koh, R. C. Y. 1971 Two-dimensional surface warm jets J. Hydraul. Div. ASCE 97, 819836.Google Scholar
Koop, C. G. 1976 Instability and turbulence in a stratified shear layer. Report Dept Aerospace Engng, Univ. Southern California.Google Scholar
Koop, C. G. & Browand, F. K. 1979 Instability and turbulence in a stratified fluid with shear J. Fluid Mech. 93, 135159.Google Scholar
Liepmann, H. W. & Laufer, J. 1947 Investigation of free turbulent mixing. NACA Tech. Note 1257.Google Scholar
Maslowe, S. A. & Thompson, J. M. 1971 Stability of a stratified free shear layer Phys. Fluids 14, 453458.Google Scholar
Mied, R. P. & MERCERET 1970 The construction of a simple conductivity probe. Report Dept Mech., The John Hopkins University.Google Scholar
Piat, J. F. & Hopfinger, E. J. 1981 A boundary layer topped by a density interface J. Fluid Mech. 113, 411432.Google Scholar
Richardson, L. F. 1920 The supply of energy from and to atmosphere Proc. R. Soc. Lond. 97, 354373.Google Scholar
Schwarz, W. H. & Cosart, W. P. 1961 The two-dimensional turbulent wall jet J. Fluid Mech. 10, 481495.Google Scholar
Thorpe, S. A. 1971 Experiments on instability of stratified shear flows J. Fluid Mech. 46, 299319.Google Scholar
Thorpe, S. A. 1973 Experiments on instability and turbulence in a stratified shear flow J. Fluid Mech. 61, 731751.Google Scholar
Townsend, A. A. 1956 The Structure of Turbulent Shear Flow. Cambridge University Press.
Townsend, A. A. 1957 Turbulent flow in a stably stratified atmosphere J. Fluid Mech. 3, 361372.Google Scholar
Townsend, A. A. 1976 The Structure of Turbulent Shear Flow, 2nd edn. Cambridge University Press.
Turner, J. S. 1973 Buoyancy Effects in Fluids. Cambridge University Press.
Vanvari, M. R. & Chu, V. H. 1974 Two-dimensional surface jets of low Richardson number. Fluid Mech. Lab., Tech. Rep. 74–2 (FML), Dept Civ. Engng & Appl. Mech., McGill Univ.Google Scholar
Wilkinson, D. L. & Wood, I. R. 1971 A rapidly varied flow phenomenon in a two-layer system J. Fluid Mech. 47, 241256.Google Scholar