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The theory of resonance interaction of tollmien-schlichting waves

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Literature cited

  1. Yu. S. Kachanov and V. Ya. Lavchenko, “The resonant interaction of disturbances at laminar-turbulent transition in a boundary layer,” J. Fluid Mech.,138, 209 (1984).

    Google Scholar 

  2. G. S. Raetz, “A new theory of the cause of transition in fluid flows,” Rept. Norair 59-383 (1959).

  3. A. D. D. Craik, “Nonlinear resonant interaction instability in boundary layers,” J. Fluid Mech.,50, Part 2 (1971).

  4. M. B. Zel'man, “Nonlinear evolution of disturbances in weakly inhomogeneous flows of an incompressible viscous gas,” in: Gas Dynamics and Physical Kinetics [in Russian], ITPM Siber. Otd. Akad. Nauk SSSR, Novosibirsk (1974).

    Google Scholar 

  5. A. G. Volodin and M. B. Zel'man, “Three-wave resonance interaction of disturbances in a boundary layer,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaz., No. 5 (1978).

  6. Th. Herbert, “Subharmonic three-dimensional disturbances in unstable shear flows,” AIM Paper 83-1759, New York (1983).

  7. A. D. D. Craik, “Resonant interaction in shear flows,” in: Laminar-Turbulent Transition, IUTAM Symp., Novosibirsk, 1984, Springer-Verlag, Berlin (1985).

    Google Scholar 

  8. F. T. Smith and P. A. Stewart, “The resonant-triad nonlinear interaction in boundary layer transition,” J. Fluid Mech.,179, 227 (1987).

    Google Scholar 

  9. V. V. Sychev, A. I. Ruban, Vik. V. Sychev, and G. L. Korolev, Asymptotic Theory of Fragmentary Flow [in Russian], Nauka, Moscow (1987).

    Google Scholar 

  10. F. T. Smith, “On the non-parallel flow stability of the Blasius boundary layer,” Proc. Roy. Soc. London Ser. A,336, No. 1724 (1979).

  11. V. I. Zhuk and O. S. Ryzhov, “Free interaction and stability of a boundary layer in an incompressible fluid,” Dokl. Akad. Nauk SSSR,253, No. 6 (1980).

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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, No. 4, pp. 65–73, July–August, 1993.

The statement of the problem was suggested by Prof. V. N. Zhigulev. The author is grateful to V. N. Zhigulev, A. V. Fedorov, and the referees of this article for useful comments and additional materials.

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Khokhlov, A.P. The theory of resonance interaction of tollmien-schlichting waves. J Appl Mech Tech Phys 34, 508–515 (1993). https://doi.org/10.1007/BF00851466

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  • DOI: https://doi.org/10.1007/BF00851466

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