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Nonlinear interaction of waves in boundary-layer flows
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Bozatli, A. N. Nayfeh, A. H. |
| Copyright Year | 1979 |
| Description | First-order nonlinear interactions of Tollmien-Schlichting waves of different frequencies and initial amplitudes in boundary-layer flows are analyzed by using the method of multiple scales. For the case of two waves, a strong nonlinear interaction exists if one of the frequencies w2 is twice the other frequency w1. Numerical results for flow past a flat plate show that this interaction mechanism is strongly destabilizing even in regions where either the fundamental or its harmonic is damped in the absence of the interaction. For the case of three waves, a strong nonlinear interaction exists when w3 = w2- w1. This combination resonance causes the amplitude of the wave with the difference frequency w3 to multiply many times in magnitude in a short distance even if it is damped in the absence of the interaction. The initial amplitudes play a dominant role in determining the changes in the amplitudes of the waves in both of these mechanisms. |
| File Size | 700279 |
| Page Count | 40 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19790011095 |
| Archival Resource Key | ark:/13960/t2m669q88 |
| Language | English |
| Publisher Date | 1979-02-01 |
| Access Restriction | Open |
| Subject Keyword | Fluid Mechanics And Heat Transfer Numerical Analysis Amplitudes Flat Plates Flow Distribution Tollmien-schlichting Waves Wave Interaction Frequencies Nonlinear Systems Boundary Layer Flow Ntrs Nasa Technical Reports Server (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science |
| Content Type | Text |
| Resource Type | Technical Report |
