Author:
TIMOSHIN S. N.,SMITH F. T.
Abstract
The upper-branch neutral modes of inviscid instability in a
boundary-layer flow with significant longitudinal vortices present
are shown to possess typically a logarithmically
singular, non-inflectional, critical layer. This contrasts with
previous linear and nonlinear suggestions implemented in
vortex–wave interaction and secondary instability theories,
which are re-examined. The analysis here is based first on
perturbation techniques applied to a Rayleigh unstable planar
motion supplemented by a vortex centred around the inflection
level, followed by the extension to more general cases. Flows
with order one and larger spanwise scales are considered. Multiple
solutions, their limit properties and parametric continuations
are illustrated with concrete examples.
Publisher
Cambridge University Press (CUP)
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Cited by
3 articles.
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