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Asymptotic Analysis of Resonant Interactions in a Boundary Layer

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Nonlinear Instability of Nonparallel Flows

Abstract

Nonlinear evolution of boundary layer eigen modes is considered in terms of unsteady three-dimensional triple-deck theory. It is taken that nonlinear effects come into play far downstream from the lower branch of the linear stability neutral curve. Such an assumption leads to clear separation of the critical layer and provides the basis for successive application of the asymptotic expansion technique. As a result, the equations governing the evolution of resonant triads are obtained and the growth rates of unstable subharmonics are calculated.

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© 1994 Springer-Verlag, Berlin Heidelberg

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Khokhlov, A.P. (1994). Asymptotic Analysis of Resonant Interactions in a Boundary Layer. In: Lin, S.P., Phillips, W.R.C., Valentine, D.T. (eds) Nonlinear Instability of Nonparallel Flows. International Union of Theoretical and Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-85084-4_5

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  • DOI: https://doi.org/10.1007/978-3-642-85084-4_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-85086-8

  • Online ISBN: 978-3-642-85084-4

  • eBook Packages: Springer Book Archive

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