Influence of Streamwise Vortices on Tollmien-Schlichting Waves

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dc.contributorVirginia Techen
dc.contributor.authorNayfeh, Ali H.en
dc.contributor.authorAl-Maaitah, Ayman Adnanen
dc.contributor.departmentBiomedical Engineering and Mechanicsen
dc.date.accessed2014-04-04en
dc.date.accessioned2014-04-24T18:34:14Zen
dc.date.available2014-04-24T18:34:14Zen
dc.date.issued1988-12-01en
dc.description.abstractAn analysis is presented of the influence of steady quasiperiodic streamwise vortices on Tollmien-Schlichting (TS) waves. The vortices act as parametric exciters for the TS waves. The present analysis is for the subharmonic resonance in which the spanwise wavenumber of the vortices is twice that of the TS wave. Floquet theory is used to derive an eigenvalue problem for the complex streamwise wavenumber, which is then solved using a shooting technique. The results show that there are two components of the solution, one is stabilized and the other is destabilized by the vortices. For the same flow characteristics, calculations were obtained from the theory which Nayfeh [J. Fluid Mech. 1 0 7, 441 (1981)] developed using the method of multiple scales. The results obtained from both approaches are in excellent agreement.en
dc.description.sponsorshipONR N00014-85-K-0011, NR 4325201en
dc.format.mimetypeapplication/pdfen
dc.identifier.citationNayfeh, A. H.; Almaaitah, A., "influence of streamwise vortices on Tollmien-Schlichting waves," Phys. Fluids 31, 3543 (1988); http://dx.doi.org/10.1063/1.866921en
dc.identifier.doihttps://doi.org/10.1063/1.866921en
dc.identifier.issn1070-6631en
dc.identifier.urihttp://hdl.handle.net/10919/47630en
dc.identifier.urlhttp://scitation.aip.org/content/aip/journal/pof1/31/12/10.1063/1.866921en
dc.language.isoen_USen
dc.publisherAIP Publishingen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.titleInfluence of Streamwise Vortices on Tollmien-Schlichting Wavesen
dc.title.serialPhysics of Fluidsen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

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