Abstract
In this paper, we have identified a new type of resonant triad which operates in a parallel or nearly parallel shear flow with a symmetric profile. The triad consists of a planar sinuous mode, an oblique sinuous mode and an oblique varicose mode, but is not of the usual subharmonic-resonance form. We show that the quadratic resonance can cause both the oblique sinuous and varicose modes to grow super-exponentially. We suggest that this resonant-triad is a viable mechanism for the development of three-dimensional structures and varicose components observed in the later stage of a plane wake transition.
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© 1996 Kluwer Academic Publishers
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Wu, X. (1996). An Active Resonant Triad of Mixed Modes in a Symmetric Shear flow. In: Duck, P.W., Hall, P. (eds) IUTAM Symposium on Nonlinear Instability and Transition in Three-Dimensional Boundary Layers. Fluid Mechanics and Its Applications, vol 35. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-1700-2_3
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DOI: https://doi.org/10.1007/978-94-009-1700-2_3
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-7261-8
Online ISBN: 978-94-009-1700-2
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