| Issue |
ESAIM: Proc.
Volume 1, 1996
Vortex flows an related numerical methods II
|
|
|---|---|---|
| Page(s) | 295 - 305 | |
| DOI | https://doi.org/10.1051/proc:1996025 | |
| Published online | 15 August 2002 | |
Instability to longitudinal vortices in wavy shear flow
Department of Theoretical and Applied Mechanics University of Illinois at Urbana-Champaign Urbana IL 61801-2935, USA
Initially spanwise-independent small but finite-amplitude two-dimensional rotational waves and their nonlinear interaction with unidirectional O(1) shear flows are reviewed from the viewpoint of their instability to longitudinal vortex form. The wave-mean interaction is described by a generalized Lagrangian-mean formulation in combination with a separate theory to account for the back effect of the developing mean flow on the wave field. Both the inviscid and viscid eigenvalue problems relevant to the instability are discussed.
© EDP Sciences, ESAIM, 1996
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