The nonlinear evolution of secondary instabilities in boundary layers

dc.contributor.authorCrouch, Jeffrey D.en
dc.contributor.committeechairHerbert, Thorwalden
dc.contributor.committeememberMook, Dean T.en
dc.contributor.committeememberHendricks, Scott L.en
dc.contributor.committeememberRagab, Saad A.en
dc.contributor.committeememberRenardy, Michaelen
dc.contributor.departmentEngineering Mechanicsen
dc.date.accessioned2015-06-24T13:35:33Zen
dc.date.available2015-06-24T13:35:33Zen
dc.date.issued1988en
dc.description.abstractFollowing the concepts of stability analysis, a study is made of the pre-breakdown stage of transition to turbulence in boundary layers. The first step consists of a ’decoupling’ of the primary and secondary instabilities. A perturbation method is used to solve for the primary wave, in the absence of any secondary disturbances. Once the wave is calculated, it is decomposed into a basic flow portion and an interaction portion. The basic flow portion acts as a parametric excitation for the secondary wave. The interaction portion then captures the resonance effects of the secondary back onto the primary. A perturbation method is also used for the secondary and interaction components. The results obtained are in three principal forms: Landau constants, amplitude growth curves, and velocity functions. While in good agreement with experiments and simulations, these results offer new explanations to the observed processes. In addition, a physically-based transition criteria is established.en
dc.description.degreePh. D.en
dc.format.extentv, 130 leavesen
dc.format.mimetypeapplication/pdfen
dc.identifier.urihttp://hdl.handle.net/10919/53684en
dc.language.isoen_USen
dc.publisherVirginia Polytechnic Institute and State Universityen
dc.relation.isformatofOCLC# 18361154en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.lccLD5655.V856 1988.C768en
dc.subject.lcshBoundary layeren
dc.subject.lcshLaminar flowen
dc.subject.lcshTurbulenceen
dc.titleThe nonlinear evolution of secondary instabilities in boundary layersen
dc.typeDissertationen
dc.type.dcmitypeTexten
thesis.degree.disciplineEngineering Mechanicsen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.leveldoctoralen
thesis.degree.namePh. D.en

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