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NARIMOUSA, SIAVASH; LONG, ROBERT R.; KITAIGORODSKII, SERGEI A. (2011)
Publisher: Co-Action Publishing
Journal: Tellus A
Languages: English
Types: Article
Subjects:
An investigation is made of the entrainment due to turbulent shear flow at the interface of a stably stratified fluid between an upper turbulent layer and a lower non-turbulent layer in which the flow is generated by a disc pump in a recirculating channel, first introduced by Odell and Kovasznay. It is found that, based on friction velocity u* and on mean velocity U, the plots of the entrainment rates as functions of the corresponding Richardson numbers for two-fluid systems and for linearly stratified systems are in agreement and collapse, so that the two systems follow the same entrainment law. The entrainment rates of the present investigation agree with those of Kantha et al., and for the most part with entrainment rates of Kranenburg. The entrainment rates of Moore and Long are also in agreement with those of present study, as are the heat-stratified entrainment rates of Deardorff and Willis. Using δb for the buoyancy jump and h for mixed-layer depth, limiting values of Ri* = hδb/u2* ≅ 2000 and Riu = hδb/U2 ≅ 20 are obtained experimentally as E* = ue/ue and Eu = ue/U approach zero and turbulent entrainment ceases, in agreement with an argument of Kantha. Also, limiting values of E* ≃ 0.3 and Eu ≃ 0.03, are found for small values of Ri*, based on an argument of Tennekes and Lumley. Although no simple power-law dependence of entrainment rates on Richardson number is obtained for the whole range of Ri*, it was possible to obtain such dependence when the range 15 < Ri* < 1500 is divided into 3 smaller subranges.DOI: 10.1111/j.1600-0870.1986.tb00454.x
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    • Cushman-Roisin, B. 1981. Deepening of the wind-mixed layer: a model of the vertical structure. Tellus 33, 564.
    • Deardorff, J. W. and Willis, G. E. 1982. Dependence of mixed-layer entrainment on shear stress and velocity jump. J. FluidMech. 115. 123-150.
    • Deardorff, J. W. and Yoon, S. C. 1984. On the use of an annulus to study mixed-layer entrainment. J. Fluid Mech. 142,97.
    • Ellison, T. H. and Turner, J. S. 1959. Turbulent entrainment in stratified flows. J . Fluid Mech. 6 , 4 2 3 4 4 8 .
    • Kantha, L. H. 1975. Turbulent entrainment at the density interface of a two-layer stably stratified fluid system. Earth and Planetary Sciences, GFDL, Rep. 75-1.
    • Kantha, L. H. 1978. On surface-stress-induced entrainment at a buoyancy interface. Earth and PInnernry Sciences, GFDL, Rep. 78-1.
    • Kantha, L. H., Phillips, 0. M. and Azad, R. S. 1977. On turbulent entrainment at a stable density interface. J . Fluid Mech. 79, 753-768.
    • Kato, H. and Phillips, 0. M. 1969. On the penetration of a turbulent layer into stratified fluid. J. Fluid Mech. 37, 643-65 5.
    • Kitaigorodskii, S. A. (1981). On the theory of the surfacestress induced entrainment at a buoyancy interface (toward interpretation of K P and KPA experiments). Tellus 33,89- 101.
    • Kranenburg, C. 1984. Wind-induced entrainment in a stably stratified fluid. J. FluidMech. 145, 253-273.
    • Linden, P. F. 1975. The deepening of a mixed layer in a stratified fluid. J. Fluid Mech. 7 1 , 3 8 5 4 0 5 .
    • Lofquist, K. 1960. Flow and stress near an interface between stratified fluids. Phys. Fluids 3, 158-1 75.
    • Long, R. R. 1978. A theory of mixing in a stably stratified fluid. J . Fluid Mech. 84, 113-124.
    • Mellor, G. L. and Durbin, P. A. 1975. The structure and dynamics of the ocean surface mixed layer. J . Phys. Oceanogr. 5,718-728.
    • Moore, M. J. and Long, R. R. 1971. An experimental investigation of turbulent stratified shearing flow. J . Fluid Mech. 4 9 , 6 3 5 6 5 5 .
    • Odell, G. M. and Kavasznay, L. S. G. 1971. A new type of water channel with density stratification. J . Fluid Mech. 50,535-543.
    • Phillips, 0 . M. 1977. Dynamics of the upper ocenn, 2nd edition. Cambridge University Press.
    • Pollard, R. T., Rhines, P. B. and Thompson, R. 0. R. Y. 1973. The deepening of the wind-mixed layer. Geophys. Fluid Dyn. 3 , 3 8 1 4 0 4 .
    • Price, J. F. 1979. On the scaling of stress-driven entrainment experiments. J. Fluid Mech. 90,509-529.
    • Schlichting, H. 1979. Boundary luyer rheory, McGrawHill, New York.
    • Scranton, D. R. and Lindberg, W. R. 1983. An experimental study of entraining stress-driven, stratified flow in an annulus. Phys. Fluids 26, 1198.
    • Tennekes, H. and Lumley, J. L. 1972. A firsf Course in turbulence. The MIT Press.
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