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Turbulent Mass Exchange in a Stratified Fluid and the Conditions of Its Fine Structure Layering

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Physical and Mathematical Modeling of Earth and Environment Processes

Abstract

The basic aim of the investigation is to study the regularities of fine structure layering of the stratified fluid (i.e., the oceanic pycnocline) under vertically homogeneous turbulent stirring. By means of physical (laboratory) modeling turbulent exchange through the density (salinity) interface, as well as the structure of this interface between two quasi-homogeneous layers of different salinity is investigated. The layers are continuously stirred by a system of horizontally oscillating vertical rods, passing through both layers. The rods produce vertically homogeneous turbulent stirring of a two-layered fluid media. During every experimental run the salinity in the upper layer is measured with the four electrode conductometer. In a part of experiments vertical profiles of salinity are periodically measured using a single-electrode conductivity microsensor. These measurements are used to calculate the turbulent flux of salt (mass) between layers and to relate these measurements with the structure of the density interface, as well as to determine the dependences of the mass flux and thickness of the interface on the defining dimensionless parameter—the Richardson number. It is shown that the interface with a decrease in the Richardson number first sharpens and then expands (diffuses). In this case, the mass flux between the layers reaches a maximum at a sharpened interface between the layers just before the interface begin to sharpen.

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References

  1. Balmforth, N.J., Llewellyn Smith, S.G., Young, W.R. Dynamics of interfaces and layers in a stratified turbulent fluid // J. Fluid Mech. 1997. 355, 329–358.

    Google Scholar 

  2. Barenblatt, G.I., Bertsch, M., Dal Passo, R., Prostokishin, V.M., Ughi, K. A mathematical model of turbulent heat and mass transfer in stably stratified shear flow // J. Fluid Mech. 1993. 253, 341–358.

    Google Scholar 

  3. Dmitrenko I., Golovin P., Dehn J., Kassens H., Zatsepin A. Influence of sea ice on under-ice mixing under stratified conditions: potential impacts on particle distribution //Estuarine, Coastal and Shelf Science. 1998. V. 46. No. 4. p. 523–529.

    Google Scholar 

  4. Fedorov K. N. The thermohaline finestructure of the ocean – Pergamon press. 1978.

    Google Scholar 

  5. Fedorov K. N. The Physical Nature and Structure of Oceanic Fronts - Springer-Verlag, New York, 1986, 333pp.

    Google Scholar 

  6. Krylov A.D., Zatsepin A.G. Frazil ice formation due to difference in heat and salt exchange across a density interface // Journal of Marine Systems. 1992. V. 3. No. 6. p. 497–506.

    Google Scholar 

  7. Linden, P.F. Mixing in stratifled fluids // Geophys. Astrophys. Fluid Dyn. 1979. 13, 3(23).

    Google Scholar 

  8. Linden, P.F. Mixing across a density interface produced by grid turbulence// J. Fluid Mech. 1980. 100, 691–703.

    Google Scholar 

  9. Park, Y.-G., Whitehead, J.A., Gnanadesikan, A. Turbulent mixing in stratified fluids: layer formation and energetics // J. Fluid Mech. 1994. 279, 279–311.

    Google Scholar 

  10. Pelegri J. L., Sangra P. A mechanism for layer formation in stratified geophysical flows // Journal of Geophysical Research. 1998. V. 103, №. C13. P. 30,679–30,693.

    Google Scholar 

  11. Phillips, O. M. Turbulence in a strongly stratified fluid: Is it unstable? // Deep Sea Res. Oceanogr. Abstr. 1972. 19. 7–81.

    Google Scholar 

  12. Posmentier, E. S. The generation of salinity fine structure by vertical diffusion // J. Phys. Oceanogr. 1977. 7. 298–300.

    Google Scholar 

  13. Ruddick, B.R., McDougall, T.J., Turner, J. S. The formation of layers in a uniformly stirred density gradient // Deep-Sea Res. 1989. 36, 597–609.

    Google Scholar 

  14. Thorpe, S. A. Experiments on the instability of stratified shear flow: miscible fluids // J. Fluid Mech., V.46. No. 2. p. 299–319, 1971.

    Google Scholar 

  15. Zatsepin A.G. On peculiarities and similarities of the coherent structure formation in stratified and rotating fluid // In: Turbulent mixing in geophysical flows (P.F. Linden and J.M. Redondo – Eds.). 2001. p. 211–299. CIMNE, Barcelona.

    Google Scholar 

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Acknowledgements

The work was carried out within the framework of the state assignment â„–-FMWE-2021-0002 and with the support of the RFBR grant â„– 20-05-0496.

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Correspondence to A. G. Zatsepin .

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Zatsepin, A.G., Gerasimov, V.V. (2022). Turbulent Mass Exchange in a Stratified Fluid and the Conditions of Its Fine Structure Layering. In: Karev, V.I. (eds) Physical and Mathematical Modeling of Earth and Environment Processes. Springer Proceedings in Earth and Environmental Sciences. Springer, Cham. https://doi.org/10.1007/978-3-030-99504-1_22

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