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Asymptotic behavior of localized perturbations in free shear layers. (English. Russian original) Zbl 0638.76059

Fluid Dyn. 22, No. 2, 173-179 (1987); translation from Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza 1987, No. 2, 8-14 (1987).

MSC:

76E05 Parallel shear flows in hydrodynamic stability
76M99 Basic methods in fluid mechanics
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References:

[1] A. G. Kulikovskii and I. S. Shikina, ?Development of two-dimensional perturbations on the surface of a shear discontinuity,? Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 3, 12 (1979).
[2] A. G. Kulikovskii and I. S. Shikina, ?Asymptotic behavior of localized perturbations during Kelvin-Helmholtz instability,? Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 2, 23 (1985).
[3] M. Gaster and A. Davey, ?The development of three-dimensional wave-packets in unbounded parallel flows,? J. Fluid Mech.,32, 801 (1968). · Zbl 0159.28103
[4] R. Betchov and W. O. Criminale (Jr), Problems of Hydrodynamic Stability [Russian translation], Mir, Moscow (1971) (possibly translation of: Stability of Parallel Flows, Academic Press, New York (1967)).
[5] S. A. Maslou, ?Instabilities and transition in shear flows,? in: Hydrodynamic Instabilities and the Transition to Turbulence [Russian translation], Mir, Moscow (1984), p. 218.
[6] A. Michalke, ?The instability of free shear layers,? Prog. Aeronaut. Sci.,12, 213 (1972).
[7] A. Michalke, ?On the inviscid instability of the hyperbolic tangent velocity profile,? J. Fluid Mech.,19, 543 (1964). · Zbl 0129.20302
[8] A. Michalke, ?On spatially growing disturbances in an inviscid shear layer,? J. Fluid Mech.,23 521 (1965).
[9] A. I. Akhiezer and R. V. Polovin, ?Criteria for the growth of waves,? Usp. Fiz. Nauk,104, 185 (1971).
[10] M. V. Fedoryuk, The Method of Steepest Descent [in Russian], Nauka, Moscow (1977). · Zbl 0463.41020
[11] Chia Chiao Lin, The Theory of Hydrodynamic-Stability, C.U.P. (1955).
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