Literature cited
R. Betchov, “Transition,” in: Turbulence, Principles and Applications [in Russian], Mir, Moscow (1980).
Yu. S. Kachanov, V. D. Kozlov, and V. Ya. Levchenko, Occurrence of Turbulence in a Boundary Layer [in Russian], Nauka, Novosibirsk (1982).
S. A. Maslou, “Instability and transition in shear flows,” in: Hydrodynamic Instability and Transition Toward Turbulence [Russian translation], Mir, Moscow (1984).
R. F. Hama, “On transition from laminar to turbulent flow,” J. Appl. Phys.,28, No. 4 (1957).
P. S. Klebanoff, K. D. Tidstrom, and L. M. Sargent, “The three-dimensional nature of boundary layer instability,” J. Fluid. Mech.,12, No. 1 (1962).
C. F. Knapp and P. J. Roache, “A combined visual and hotwire anemometer investigation of boundary layer transition,” AIAA J.,6, No. 1 (1968).
V. D. Kozlov and M. P. Ramazanov, “Resonance reaction of disturbances in Poiseuille flow,” Dokl. Akad. Nauk SSSR,275, No. 6 (1984).
A. S. W. Thomas, “The control of boundary layer transition using a wave superposition principle,” J. Fluid Mech.,137 (1983).
V. V. Kozlov, V. Ya. Levchenko, and V. S. Sarik, “Formation of three-dimensional structures with transition toward turbulence in a boundary layer,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 6 (1984).
R. F. Blackwelder, “Analogy between transitional and turbulent boundary layers,” Phys. Fluids,26, No. 10 (1983).
D. J. Benney and C. C. Lin, “On the secondary motion induced by oscillations in a shear flow,” Phys. Fluids,3, No. 4 (1960).
D. J. Benney, “Finite amplitude effects in an unstable laminar boundary layer,” Phys. Fluids,7, No. 3 (1964).
D. J. Benney and R. F. Bergeron, “A new class of nonlinear waves in parallel flows,” Stud. Appl. Math.,48, No. 3 (1969).
V. P. Reutov, “Nonsteady critical layer and nonlinear stage of instability in planar Poiseuille flow,” Zh. Prikl. Mekh. Tekh. Fiz., No. 4 (1982).
V. P. Keutov, “Nonlinear waves and stabilization of two-dimensional instability in a boundary layer,” Zh. Prikl. Mekh. Tekh. Fiz., No. 4 (1985).
A. D. Craik, “Nonlinear resonant instability in boundary layers,” J. Fluid Mech., No. 2 (1971).
A. G. Volodin and M. B. Zel'man, “Three-wave resonance reaction of disturbances in a boundary layer,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 5 (1978).
Yu. V. Kachanov and V. Ya. Levchenko, “Resonance reaction of disturbances with transition to turbulence in a boundary layer,” Preprint No. 10-82, ITPM, SO AN SSSR, Novosibirsk (1982).
M. A. Gol'dshtik, A. M. Livshits, and V. N. Shtern, “Reynolds number for transition in a planar channel,” Dokl. Akad. Nauk SSSR,273, No. 1 (1983).
A. Leonard, “Vortex simulation of three-dimensional spotlike disturbances in a laminar boundary layer,” in: Turbulent Shear Flows, Vol. 2, Springer, Berlin (1980).
G. K. Batchelor, Introduction to Fluid Mechanics, Cambridge Univ. Press, New Rochelle, NY (1967).
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Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 5, pp. 107–115, September–October, 1987.
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Reutov, V.P. Nonlinear critical layer and formation of linear vortices with reaction of waves in shear flows. J Appl Mech Tech Phys 28, 742–750 (1987). https://doi.org/10.1007/BF00912028
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DOI: https://doi.org/10.1007/BF00912028