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An experimental study of the instability of a stably stratified free shear layer

Published online by Cambridge University Press:  29 March 2006

Yu-Hwa Wang
Yu-Hwa Wang
Affiliation:
Coastal and Oceanographic Engineering Laboratory, University of Florida, Gainesville
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Abstract

A stably stratified free shear layer is created in a continuously circulating water channel in the laboratory. Two streams of salt water of different concentrations are brought together at the entrance to the open channel and a layered uniform flow field with a distinct sharp interface is produced in the test section. The maximum density difference between the two layers is Δρx = 0·0065ρw, where ρw is the density of water. The velocity of each layer can be adjusted at will to create free shear across the interface. At the end of the open channel, a mechanical device to separate the layers for recirculation is provided. The resulting flow field has a viscous region approximately 15 times larger than the scale of the salinity diffusion layer. Visual observations are made with hydrogen bubbles and dye traces. Interfacial waves are initiated by artificial excitation. The perturbation frequencies range from 0·476 to 10·40Hz. The measured wavelengths range from 0·46 to 3·02 cm. Damped waves as well as growing waves are observed at various exciting frequencies. Velocity profiles and instantaneous velocities are measured by a hot-film anemometer designed for use in salt water. Experimental values of the Richardson number, the dominant parameter characterizing the instability process, range from 1·23 to 14·45. The stability boundary is determined experimentally. Comparisons with Hazel's numerical results and the earlier results of Scotti & Corcos for low values of the Richardson number are also made.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 71 , Issue 3 , 14 October 1975 , pp. 563 - 575
Copyright
© 1975 Cambridge University Press

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References

Drazin, P. C. & Howard, L. N. 1966 Adv. in Appl. Mech. 9, 1.
Fabula, A. C. 1967 Proc. of International Symposium on Hot-Wire Anemometry, University of Maryland.
Gibson, C. H. & Schwarz, W. H. 1963 J. Fluid Mech. 16, 357.
Hazel, P. 1972 J. Fluid Mech. 51, 39.
Hinze, J. O. 1959 Turbulence. McGraw-Hill.
Howard, L. N. 1961 J. Fluid Mech. 10, 509.
Klebanoff, P. S., Tidstrom, K. D. & Sargent, L. M. 1962 J. Fluid Mech. 12, 1.
Kovasznay, L. S. G. 1949 Proc. Roy. Soc. A 198, 174.
Lock, R. C. 1951 Quart. J. Appl. Math. 4, 42.
Miles, J. W. 1961 J. Fluid Mech. 10, 496.
Roshko, A. 1954 N.A.C.A. Rep. no. 1191.
Scotti, R. S. & Corcos, G. M. 1972 J. Fluid Mech. 52, 499.
Taylor, G. I. 1931 Proc. Roy. Soc. A 132, 499.
Thorpe, S. A. 1969 J. Fluid Mech. 36, 673.
Thorpe, S. A. 1971 J. Fluid Mech. 46, 299.
Tritton, D. J. 1971 J. Fluid Mech. 45, 203.