Abstract
The article discusses the plane unsteady-state problem of the development of a region of turbulent pulsations in an incompressible stratified liquid. At the initial moment of time, the energy of the turbulence is given inside a region of finite dimensions. A semiempirical system of equations describing this process is proposed. The article gives the data from numerical calculations, illustrating the original expansion of the region as a result of turbulent diffusion, its subsequent compression along a vertical (“collapse”) under the action of the forces of buoyancy, and the internal waves generated by the collapse.
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Wu Jin, “Mixed region collapse with internal wave generation in a density stratified medium,” J. Fluid Mech.,35, No. 3, 531–541 (1969).
W. R. Wessel, “Numerical study of the collapse of a perturbation in an infinite density stratified fluid,” Phys. Fluids,12, No. 2, 170–176 (1969).
H. Padmanabhan, W. F. Ames, J. F. Kennedy, and Hung Tin-Kan, “A numerical investigation of wake deformation in density stratified fluids,” J. Engng. Math.,4, No. 3, 229–241 (1970).
C. C. Mei, “Collapse of a homogeneous fluid mass in a stratified fluid,” Proc. 12-th Internat. Congress Appl. Mech, Stanford Univ. (1968).
A. H. Schooley and B. A. Hughes, “An experimental and theoretical study of internal waves generated by the collapse of a two-dimensional mixed region in a density gradient,” J. Fluid. Mech.,51, No. 1, 159–175 (1972).
R. C. Y. Koh, “Transition motions induced by local disturbances in linearly density-stratified fluid,” J. Hydraulic Res.,9, No. 3, 335–353 (1971).
R. I. Hartman and H. W. Lewis, “Wake collapse in a stratified fluid: linear treatment,” J. Fluid. Mech.,51, No. 3, 613–618 (1972).
A. H. Schooley, “Wave collapse in a stratified fluid,” Science,157, No. 3787, 421–423 (1967).
N. N. Yanenko, The Method of Fractional Spacings in the Solution of Multidimensional Problems in Mathematic Physics [in Russian], Izd. Nauka, Novosibirsk (1967).
E. Naudascher, “Flow in the wake of self-propelled bodies and related sources of turbulence,” J. Fluid Mech.,22, No. 4, 625–656 (1965).
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The work was reported at the International Symposium on Stratified Flows (Novosibirsk, August 29–31, 1972).
Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 3, pp. 45–52, May–June, 1974.
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Vasil'ev, O.F., Kuznetsov, B.G., Lytkin, Y.M. et al. Development of the region of a turbulized liquid in a stratified medium. Fluid Dyn 9, 368–373 (1974). https://doi.org/10.1007/BF01025517
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DOI: https://doi.org/10.1007/BF01025517