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Wind-induced entrainment in a stably stratified fluid

Published online by Cambridge University Press:  20 April 2006

C. Kranenburg
Affiliation:
Laboratory of Fluid Mechanics, Department of Civil Engineering, Delft University of Technology, 2628CN Delft, The Netherlands

Abstract

Experiments on mixed-layer deepening in a straight wind flume initially containing a two-layer fluid were carried out. In order to simulate an effectively unlimited water body, or a situation where the presence of end walls is not yet noticeable, the water from the upper layer was withdrawn at the downstream end, and supplied again at the upstream end in part of the experiments. Upper-layer depths, and mean-density and mean-velocity profiles were measured for overall Richardson numbers (based on the surface friction velocity) ranging from 22 to 1090. Gradient Richardson numbers in the transition layer (between the mixed layer and the undisturbed layer) and in the mixed layer were estimated. The correction of the results for the effects of recirculation is discussed.

Type
Research Article
Copyright
© 1984 Cambridge University Press

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References

Deardorff, J. W. & Willis, G. E. 1982 Dependence of mixed-layer entrainment on shear stress and velocity jump. J. Fluid Mech. 115, 123150.Google Scholar
Imberger, J. & Hamblin, P. F. 1982 Dynamics of lakes, reservoirs, and cooling ponds. Ann. Rev. Fluid Mech. 14, 153187.Google Scholar
Jones, I. S. F. & Mulhearn, P. J. 1983 The influence of external turbulence on sheared interfaces. Geophys. Astrophys. Fluid Dyn. 24, 4962.Google Scholar
Kantha, L. H., Phillips, O. M. & Azad, R. S. 1977 On turbulent entrainment at a stable density interface. J. Fluid Mech. 79, 753768.Google Scholar
Kato, H. & Phillips, O. M. 1969 On the penetration of a turbulent layer into stratified fluid. J. Fluid Mech. 37, 643655.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
Kranenburg, C. 1983 The influence of side-wall friction on shear-stress driven entrainment experiments. J. Hydraul. Res. 21, 99117.Google Scholar
Kundu, P. K. 1980 A numerical investigation of mixed-layer dynamics. J. Phys. Oceanogr. 10, 220236.Google Scholar
Kundu, P. K. 1981 Self-similarity in stress-driven entrainment experiments. J. Geophys. Res. 86, 19791988.Google Scholar
Mellor, G. L. & Strub, P. T. 1980 Similarity solutions for the stratified turbulent Rayleigh problem. J. Phys. Oceanogr. 10, 455460.Google Scholar
Mitsuyasu, H. & Honda, T. 1982 Wind-induced growth of water waves. J. Fluid Mech. 123, 425442.Google Scholar
Moore, M. J. & Long, R. R. 1971 An experimental investigation of turbulent stratified shearing flow. J. Fluid Mech. 49, 635655.Google Scholar
Phillips, O. M. & Banner, M. L. 1974 Wave breaking in the presence of wind drift and swell. J. Fluid Mech. 66, 625640.Google Scholar
Pia J.-F. & Hopfinger, E. J. 1981 A boundary layer topped by a density interface. J. Fluid Mech. 113, 411432.Google Scholar
Price, J. F. 1979a On the scaling of stress-driven entrainment experiments. J. Fluid Mech. 90, 509529.Google Scholar
Price, J. F. 1979b Observations of a rain-formed mixed layer. J. Phys. Oceanogr. 9, 643649.Google Scholar
Scranton, D. R. & Lindbebg, W. R. 1983 An experimental study of entraining, stress driven, stratified flow in an annulus. Phys. Fluids 26, 11981205.Google Scholar
Spigel, R. H. & Imberger, J. 1980 The classification of mixed-layer dynamics in lakes of small to medium size. J. Phys. Oceanogr. 10, 11041121.Google Scholar
Thompson, R. O. R. Y. 1979 A reinterpretation of the entrainment process in some laboratory experiments. Dyn. Atmos. Oceans 4, 4555.Google Scholar
Thorpe, S. A. 1968 A method of producing a shear flow in a stratified fluid. J. Fluid Mech. 32, 693704.Google Scholar
Wu, J. 1973 Wind-induced turbulent entrainment across a stable density interface. J. Fluid Mech. 61, 275287.Google Scholar
Wu, J. 1975 Wind-induced drift currents. J. Fluid Mech. 68, 4970.Google Scholar
Wyatt, L. R. 1978 The entrainment interface in a stratified fluid. J. Fluid Mech. 86, 293312.Google Scholar