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dc.contributorVirginia Techen_US
dc.contributor.authorNayfeh, Ali H.en_US
dc.contributor.authorBozatli, A. N.en_US
dc.date.accessioned2014-04-24T18:34:17Z
dc.date.available2014-04-24T18:34:17Z
dc.date.issued1979
dc.identifier.citationNayfeh, A. H.; Bozatli, A. N., "secondary instability in boundary-layer flows," Phys. Fluids 22, 805 (1979); http://dx.doi.org/10.1063/1.862680
dc.identifier.issn1070-6631
dc.identifier.urihttp://hdl.handle.net/10919/47650
dc.description.abstractThe stability of a secondary Tollmien–Schlichting wave, whose wavenumber and frequency are nearly one half those of a fundamental Tollmien–Schlichting instability wave, is analyzed using the method of multiple scales. Under these conditions, the fundamental wave acts as a parametric exciter for the secondary wave. The results show that the amplitude of the fundamental wave must exceed a critical value to trigger this parametric instability. This value is proportional to a detuning parameter which is the real part of k − 2K, where k and K are the wavenumbers of the fundamental and its subharmonic, respectively. For Blasius flow, the critical amplitude is approximately 29% of the mean flow, and hence many other secondary instabilities take place before this parametric instability becomes significant. For other flows where the detuning parameter is small, such as free‐shear layer flows, the critical amplitude can be small, thus the parametric instability might play a greater role.
dc.description.sponsorshipONR NR061-201
dc.description.sponsorshipNASA NSG-1255
dc.format.mimetypeapplication/pdfen_US
dc.language.isoen_US
dc.publisherAIP Publishing
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.titleSecondary Instability in Boundary-Layer Flowsen_US
dc.typeArticle - Refereeden_US
dc.contributor.departmentBiomedical Engineering and Mechanicsen_US
dc.identifier.urlhttp://scitation.aip.org/content/aip/journal/pof1/22/5/10.1063/1.862680
dc.date.accessed2014-04-04
dc.title.serialPhysics of Fluids
dc.identifier.doihttps://doi.org/10.1063/1.862680
dc.type.dcmitypeTexten_US


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