Three-wave non-linear interaction in a three-dimensional compressible boundary layer

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

A perturbation method for analysis of non-linear wave interaction in three-dimensional compressible boundary layer is developed. The method is based on a biorthogonal eigenfunction system for three-dimensional compressible boundary layers. It is assumed that characteristic space and time scales of the disturbances are much less than space and time scales of non-linear development and an averaging technique in intermediate scales may be applied. The method is a generalization of Zelman's results for two-dimensional incompressible boundary layer. As an example, a three-wave interaction is considered. A numerical example for so-called Tollmien - Schlichting wave interaction shows the possibility of amplification for rather broad packets without an exact resonance synchronizm for three-wave interaction.

Original languageEnglish (US)
Pages (from-to)661-671
Number of pages11
JournalInternational Journal of Non-Linear Mechanics
Volume30
Issue number5
DOIs
StatePublished - 1995
Externally publishedYes

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Wave Interaction
Nonlinear Interaction
Boundary Layer
Boundary layers
Three-dimensional
Time Scales
Averaging Technique
Nonlinear Waves
Perturbation Method
Eigenvalues and eigenfunctions
Amplification
Eigenfunctions
Disturbance
Numerical Examples

ASJC Scopus subject areas

  • Mechanical Engineering
  • Mechanics of Materials
  • Applied Mathematics

Cite this

Three-wave non-linear interaction in a three-dimensional compressible boundary layer. / Tumin, Anatoli.

In: International Journal of Non-Linear Mechanics, Vol. 30, No. 5, 1995, p. 661-671.

Research output: Contribution to journalArticle

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