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The nonlinear interaction of Tollmien-Schlichting waves and Taylor-Goertler vortices in curved channel flowsIt is known that a viscous fluid flow with curved streamlines can support both Tollmien-Schlichting and Taylor-Goertler instabilities. In a situation where both modes are possible on the basis of linear theory a nonlinear theory must be used to determine the effect of the interaction of the instabilities. The details of this interaction are of practical importance because of its possible catastrophic effects on mechanisms used for laminar flow control. This interaction is studied in the context of fully developed flows in curved channels. A part form technical differences associated with boundary layer growth the structures of the instabilities in this flow are very similar to those in the practically more important external boundary layer situation. The interaction is shown to have two distinct phases depending on the size of the disturbances. At very low amplitudes two oblique Tollmein-Schlichting waves interact with a Goertler vortex in such a manner that the amplitudes become infinite at a finite time. This type of interaction is described by ordinary differential amplitude equations with quadratic nonlinearities.
Document ID
19870012730
Acquisition Source
Legacy CDMS
Document Type
Preprint (Draft being sent to journal)
Authors
Hall, P.
(NASA Langley Research Center Hampton, VA, United States)
Smith, F. T.
(University Coll. London, United Kingdom)
Date Acquired
September 5, 2013
Publication Date
April 1, 1987
Subject Category
Fluid Mechanics And Heat Transfer
Report/Patent Number
NASA-CR-178283
NAS 1.26:178283
ICASE-87-25
Accession Number
87N22163
Funding Number(s)
CONTRACT_GRANT: NAS1-18107
PROJECT: RTOP 505-90-21-01
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.
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