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On nonlinear Tollmien-Schlichting/vortex interaction in three-dimensional boundary layersThe instability of an incompressible three-dimensional boundary layer (that is, one with cross-flow) is considered theoretically and computationally in the context of vortex/wave interactions. Specifically the work centers on two low amplitude, lower-branch Tollmien-Schlichting waves which mutually interact to induce a weak longitudinal vortex flow; the vortex motion, in turn, gives rise to significant wave-modulation via wall-shear forcing. The characteristic Reynolds number is taken as a large parameter and, as a consequence, the waves' and the vortex motion are governed primarily by triple-deck theory. The nonlinear interaction is captured by a viscous partial-differential system for the vortex coupled with a pair of amplitude equations for each wave pressure. Three distinct possibilities were found to emerge for the nonlinear behavior of the flow solution downstream - an algebraic finite-distance singularity, far downstream saturation or far-downstream wave-decay (leaving pure vortex flow) - depending on the input conditions, the wave angles, and the size of the cross-flow.
Document ID
19940006905
Acquisition Source
Legacy CDMS
Document Type
Technical Memorandum (TM)
Authors
Davis, Dominic A. R. (NASA Lewis Research Center Cleveland, OH, United States)
Smith, Frank T. (University Coll. London, United Kingdom)
Date Acquired
September 6, 2013
Publication Date
May 1, 1993
Subject Category
Fluid Mechanics And Heat Transfer
Report/Patent Number
NASA-TM-106184
ICOMP-93-17
NAS 1.15:106184
E-7889
Accession Number
94N11377
Funding Number(s)
PROJECT: RTOP 505-62-21
CONTRACT_GRANT: NCC3-233
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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