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Nonlinear interaction of two waves in boundary-layer flowsFirst-order nonlinear interactions of Tollmien-Schlichting waves of different frequencies and initial amplitudes in boundary-layer flows are analyzed using the method of multiple scales. Numerical results for flow past a flat plate show that the spatial detuning wipes out resonant interactions unless the initial amplitudes are very large. Thus, a wave having a moderate amplitude has little influence on its subharmonic although it has a strong influence on its second harmonic. Moreover, two waves having moderate amplitudes have a strong influence on their difference frequency. The results show that the difference frequency can be very unstable when generated by the nonlinear interaction, even though it may be stable when introduced by itself in the boundary layer.
Document ID
19800046365
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
External Source(s)
Authors
Nayfeh, A. H.
(Virginia Polytechnic Inst. and State Univ. Blacksburg, VA, United States)
Bozatli, A. N.
(Virginia Polytechnic Institute and State University Blacksburg, Va., United States)
Date Acquired
August 10, 2013
Publication Date
March 1, 1980
Publication Information
Publication: Physics of Fluids
Volume: 23
Subject Category
Fluid Mechanics And Heat Transfer
Accession Number
80A30535
Funding Number(s)
CONTRACT_GRANT: N00014-75-C-0381
CONTRACT_GRANT: NSG-1255
Distribution Limits
Public
Copyright
Other

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