Abstract
The low-amplitude interaction of a 2D wave with a 3D detuned wave in parallel shear flows is considered. Experiments and numerical simulation have shown that detuned wave interaction provides an alternate route to transition. When the interaction is quasiperiodic (irrationally related streamwise wavenumbers) the nonlinear theory for the wave interaction is difficult because of small divisors. Spatial centre-manifold theory and normal form transformations are used to construct a theory for bifurcating spatially quasiperiodic (q-p) states. The q-p interaction is shown to be a general feature of parallel shear flows with a thumb neutral curve.
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© 1992 Springer-Verlag New York, Inc.
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Bridges, T.J. (1992). Spatially-Quasiperiodic States in Shear Flows. In: Hussaini, M.Y., Kumar, A., Streett, C.L. (eds) Instability, Transition, and Turbulence. ICASE NASA LaRC Series. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-2956-8_14
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DOI: https://doi.org/10.1007/978-1-4612-2956-8_14
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