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The development of a mixing layer under the action of weak streamwise vorticesThe action of weak, streamwise vortices on a plane, incompressible, steady mixing layer is examined in the large Reynolds number limit. The outer, inviscid region is bounded by a vortex sheet to which the viscous region is confined. It is shown that the local linear analysis becomes invalid at streamwise distances O(epsilon sup -1), where (epsilon much less than 1) is the crossflow amplitude, and a new nonlinear analysis is constructed for this region. Numerical solutions of the nonlinear problem show that the vortex sheet undergoes an O(1) change in position and that the solution is ultimately terminated by a breakdown in the numerical procedure. The corresponding viscous layer shows downstream thickening, but appears to remain well behaved up to the terminal location.
Document ID
19930046137
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
External Source(s)
Authors
Goldstein, M. E.
(NASA Lewis Research Center Cleveland, OH, United States)
Mathew, Joseph
(NASA Lewis Research Center Cleveland, OH, United States)
Date Acquired
August 16, 2013
Publication Date
March 1, 1993
Publication Information
Publication: Physics of Fluids A
Volume: 5
Issue: 3
ISSN: 0899-8213
Subject Category
Fluid Mechanics And Heat Transfer
Accession Number
93A30134
Distribution Limits
Public
Copyright
Other

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