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The Study of Shear Layer Stability by the Method of Vortex Particles

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Book cover Laminar-Turbulent Transition

Summary

The questions of the stability of the shear layers with respect to disturbances of its boundary and to the acoustic disturbance are examined. The problem is solved by the method of discrete vortex particles. Linear stage of development of the disturbances has been investigated in great detail, analytically as well as numerically, then nonlinear stage is investigated numerically only.

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References

  1. Ginevskii, A.S.; Vlasov, E.V.; Kolesnikov, A.B.:Aeroacoustical interactions. Moscow: Mechanical Engineering Press1978.

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  2. Crighton, D.G.:Acoustics as a branch of fluid mechanics. J. Fluid Mech. 106 (1981) 261–298.

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  3. Veretentsev, A.N.; Rudyak, V.Ya.; Yanenko, N.N.:Variational method for the construction of discrete vortex models. Preprint of the Institute of Theor. and Appl. Mechanics, N°29, Novosibirsk 1982.

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  4. Veretentsev, A.N.; Rudyak, V.Ya.; Yanenko, N.N.:On constructing the discrete vortex models for the ideal incompressible fluid. J. Comput. Math. and Math. Phys. (Russian, to appear).

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  5. Lamb, H.:Hydrodynamics. Cambridge: Cambridge Univ.Press 1932.

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© 1985 Springer-Verlag, Berlin, Heidelberg

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Yanenko, N.N., Rudyak, V.Y., Veretentsev, A.N. (1985). The Study of Shear Layer Stability by the Method of Vortex Particles. In: Kozlov, V.V. (eds) Laminar-Turbulent Transition. International Union of Theoretical and Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-82462-3_45

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  • DOI: https://doi.org/10.1007/978-3-642-82462-3_45

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-82464-7

  • Online ISBN: 978-3-642-82462-3

  • eBook Packages: Springer Book Archive

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