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The dynamics of a cylindrical zone of turbulent mixing in a longitudinal shear flow of a linearly stratified medium

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Thermophysics and Aeromechanics Aims and scope

Abstract

A numerical model has been constructed and the investigation of the dynamics of a cylindrical localized region of turbulent disturbances in a longitudinal horizontally homogeneous shear flow of a linearly stratified fluid has been carried out. Computational results have shown a considerable generation of turbulence energy at the expense of shear flow gradients. It was also found that the shear flow affects weakly the internal waves generated at the evolution of the turbulent mixing zone.

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References

  1. A.S. Monin and A.M. Yaglom, Statistical fluid mechanics, Vol. 1, Mechanics of turbulence, Dover Books on Physics, 2007.

    Google Scholar 

  2. A.H. Schooley, Wake collapse in a stratified fluid, Science, 1967, Vol. 157, No. 3787, P. 421–423.

    Article  ADS  Google Scholar 

  3. Yu.N. Vlasov, V.N. Nekrasov, A.M. Trokhan, and Yu.D. Chashechkin, Development of turbulent mixing in a fluid, J. Appl. Mech. Tech. Phys., 1973, Vol. 14, No. 2, P. 222–225.

    Article  ADS  Google Scholar 

  4. O.F. Vasil’ev, B.G. Kuznetsov, Yu.M. Lytkin, and G.G. Chernykh, Development of the region of a turbulized liquid in a stratified medium, Fluid Dyn., 1974, Vol. 9, No. 3, P. 368–373.

    Article  ADS  Google Scholar 

  5. A.M. Trokhan and Yu.D. Chashechkin, Generation of internal waves in a stratified fluid by a hydrodynamically linear source (two-dimensional problem), in: Theory of Diffraction and Propagation of Waves (brief texts of the talks of the 7th All-Union Symp. on diffraction and propagation of waves), Vol. 3, Rostov-na-Donu, 1977, P. 186–189.

    Google Scholar 

  6. Yu.M. Lytkin and G.G. Chernykh, Flow similarity in terms of the density Froude number and energy balance at the evolution of the turbulent mixing zone in a stratified medium, in: Mathematical Problems of Continuum Mechanics: a collection of scientific works, Inst. Hydrodynamics of the Siberian Branch of the USSR Acad. Sci., 1980, iss. 47, P. 70–89.

    Google Scholar 

  7. Yu.D. Chashechkin, G.G. Chernykh, and O.F. Voropayeva, The propagation of a passive admixture from a local instantaneous source in a turbulent mixing zone, Int. J. Comput. Fluid Dyn., 2005, Vol. 19, No. 7, P. 517–529.

    Article  MATH  Google Scholar 

  8. G.G. Chernykh and O.F. Voropayeva, Numerical modeling of momentumless turbulent wake dynamics in a linearly stratified medium, Comp. Fluids, 1999, Vol. 28, No. 3, P. 281–306.

    Article  MATH  Google Scholar 

  9. A. Pal, M.B. De Stadler, and S. Sarkar, The spatial evolution of fluctuations in a self-propelled wake compared to a patch of turbulence, Phys. Fluids, 2013, Vol. 25, P. 095106-1–095106-20.

    Article  ADS  Google Scholar 

  10. H.J.S. Fernando, Turbulent patches in a stratified shear flow, Phys. Fluids, 2003, Vol. 15, No. 10, P. 3164–3169.

    Article  ADS  MATH  Google Scholar 

  11. S.N. Yakovenko, T.G. Thomas, and I.P. Castro, A turbulent patch arising from a breaking internal wave, J. Fluid Mech., 2011, Vol. 677, P. 103–133.

    Article  ADS  MathSciNet  MATH  Google Scholar 

  12. Chernykh G.G., Voropaeva O.F. Dynamics of a momentumless turbulent wake in a shear flow // J. Engng Thermophysics. 2015. Vol. 24, No. 1. P. 12–21.

    Article  Google Scholar 

  13. O.F. Voropaeva and G.G. Chernykh, Dynamics of local regions of turbulized fluid under the conditions of background disturbances of hydrophysical fields, Fundam. i Prikladn. Gidrofizika, 2015, Vol. 8, No. 4, P. 12–17.

    Google Scholar 

  14. O.F. Voropaeva and G.G. Chernykh, Dynamics of momentumless turbulent wake in a shear flow of a linearly stratified medium, Thermophysics and Aeromechanics, 2016, Vol. 23, No. 1, P. 59–68.

    Article  ADS  Google Scholar 

  15. G.G. Chernykh and A.V. Fomina, Dynamics of cylindrical turbulent spot in a longitudinal shear flow of a passive stratified fluid, Sci. Evolution, 2016, Vol. 1, Iss. 2, P. 102–107.

    Article  Google Scholar 

  16. W. Rodi, Turbulence Models and Their Application in Hydraulics, University of Karlsruhe, 1980.

    Google Scholar 

  17. W. Rodi, Examples of calculation methods for flow and mixing in stratified fluids, J. Geophys. Res., 1987, Vol. 92, No. C5, P. 5305–5328.

    Article  ADS  Google Scholar 

  18. G.G. Chernykh, A.V. Fomina, and N.P. Moshkin, Numerical simulation of dynamics of turbulent wakes behind towed bodies in linearly stratified media, J. Engng Thermophys., 2009, Vol. 18, No. 4, P. 279–305.

    Article  Google Scholar 

  19. J.T. Lin and Y.H. Pao, Wakes in stratified fluids, Annu. Rev. Fluid Mech., 1979, Vol.11, P. 317–338.

    Article  ADS  Google Scholar 

  20. S. Hassid, Collapse of turbulent wakes in stable stratified media, J. Hydronautics, 1980, Vol. 14, No. 1, P. 25–32.

    Article  ADS  Google Scholar 

  21. O.V. Kaptsov, A.V. Fomina, G.G. Chernykh, and A.V. Schmidt, Self-similar decay of the momentumless turbulent wake in a passive stratified medium, Matem. Modelirovanie, 2015, Vol. 27, No. 1, P. 84–98.

    MATH  Google Scholar 

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Correspondence to N. P. Moshkin, A. V. Fomina or G. G. Chernykh.

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The work was financially partially supported by the Russian Foundation for Basic Research (Project No. 17-01-00332).

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Moshkin, N.P., Fomina, A.V. & Chernykh, G.G. The dynamics of a cylindrical zone of turbulent mixing in a longitudinal shear flow of a linearly stratified medium. Thermophys. Aeromech. 26, 37–45 (2019). https://doi.org/10.1134/S0869864319010050

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  • DOI: https://doi.org/10.1134/S0869864319010050

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