Literature cited
R. Betchev and V. Criminale, Questions of Hydrodynamic Stability [Russian translation], Mir, Moscow (1971).
Yu. S. Kachanov, V. V. Kozlov, and V. Ya. Levchenko, Origin of Boundary Layer Turbulence [in Russian], Nauka, Novosibirsk (1982).
A. S. Dryzhov, “On the stability of a compressible boundary layer relative to local perturbations,” Zh. Prikl. Mekh. Tekh. Fiz., No. 3 (1973).
L. H. Gastavsson, “Initial-value problem for boundary layer flows,” Phys. Fluids,22, No. 9 (1979).
M. Gaster, “Propagation of linear wave packets in laminar boundary layers,” AIAA J.,19, No. 4 (1981).
M. Gaster, “The development of a two-dimensional wave packet in a growing boundary layer,” Proc. R. Soc. London, Ser. A,384, 317 (1982).
N. Itoh, “Linear stability theory for wave packet disturbances in parallel flows,” Laminar-Turbulent Transition, Springer-Verlag, Berlin (1980).
A. H. Nayfeh, “Three-dimensional stability of growing boundary layers,” Laminar-Turbulent Transition, Springer-Verlag, Berlin (1980).
B. J. Benney and S. A. Maslow, “The evolution in space and time of nonlinear waves in parallel shear flows,” Stud. Appl. Math.,54, No. 3 (1975).
T. Cebeci and K. Stewartson, “On stability and transition of three-dimensional flows,” AIAA J.,18, No. 4 (1980).
C. E. Grosch and H. Salwen, “The continuous spectrum of the Orr-Sommerfeld equation,” Pt. 1, J. Fluid Mech.,87, No. 1 (1978).
M. B. Zel'man, “On the nonlinear development of perturbations in weakly inhomogeneous incompressible gas flows,” Hydrodynamics and Physical Kinetics [in Russian], Inst. Theor. Appl. Mech., Sib. Branch USSR Acad. Sci. (1974); M. B. Zel'man and A. F. Kakotkin, “On slightly nonlinear stability of nonparallel boundary layers,” Numer. Methods in Continuum Mechanics [in Russian], Vol. 13, No. 3 (1982).
V. K. Chin, “Influence of dissipation and dispersion on slowly varying wave train propagation,” Raket. Kosmon. (AIAA J.),18, No. 4 (1980).
A. M. Tumin and A. V. Fedorov, “Instability wave excitation in the boundary layer on a vibrating surface,” Zh. Prikl. Mekh. Tekh. Fiz., No. 3 (1983).
V. N. Zhigulev, “On instability excitation and development in three-dimensional stationary boundary layers,” Zh. Prikl. Mekh. Tekh. Fiz., No. 4 (1983).
E. Reshotko, “Remark on engineering aspects of transition,” Transition and Turbulence, Academic Press, New York (1981).
V. N. Zhigulev, “Problem of determining the critical Reynolds numbers of laminar boundary layer transition into turbulent,” Models of the Mechanics of a Continuous Medium [in Russian], Inst. Teor. Appl. Math., Sib. Branch, USSR Acad. Sciences, Novosibirsk (1983).
A. B. Mikhailovskii, Theory of Plasma Instability [in Russian], Vol. 1, Atomizdat, Moscow (1970).
F. De Coninck, J. P. Guiraur, and R. Kh. Zeutonian, “A short look at nonlinear hydrodynamic stability theory,” Q. J. Mech. Appl. Math.,36, Pt. 1.
M. I. Rabinovich and L. E. Shtil'man, “On self-action and interaction of waves with a continuous spectrum in slightly nonlinear media,” Izv. Vyssh. Uchebn. Zaved., Radiofiz.,16, No. 11 (1973).
B. B. Kadomtsev, “Plasma turbulence,” Questions of Plasma Theory [in Russian], No. 4, Atomizdat, Moscow (1964).
A. G. Volodin and M. B. Zelman, “On the nature of difference of some forms of transition in the boundary layer,” AIAA J.,19, No. 7 (1981).
M. B. Zel'man and I. I. Maslennikova, “Resonance excitation of spatial perturbation in the the boundary layer,” Instability of Sub- and Supersonic Flows [in Russian], Inst. Theor. Appl. Mech., Sib. Branch, USSR Acad. Sciences (1982).
M. B. Zel'man, “Finite intensity perturbation development in parallel streams,” Preprint No. 10-81, Inst. Theor. Appl. Mech., Sib. Branch, USSR Acad. Sci., Novosibirsk (1981).
V. P. Reutov, “Nonlinear stage of two-dimensional instability in the boundary layer,” Preprint 57, Inst. Appl. Phys. USSR Acad. Sciences, Gorki (1982).
Author information
Authors and Affiliations
Additional information
Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 1, pp. 42–47, January–February, 1985.
In conclusion, the authors are grateful to V. Ya. Levchenko for attention to and useful discussion of the research.
Rights and permissions
About this article
Cite this article
Zel'man, M.B., Kakotkin, A.F. Space-time development of perturbations in the boundary layer. J Appl Mech Tech Phys 26, 36–41 (1985). https://doi.org/10.1007/BF00919621
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00919621