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- W2000905246 abstract "The transition of an incompressible three-dimensional boundary layer with strong cross-flow is considered theoretically and computationally in the context of vortex/wave interactions. Specifically the work centres on two lower-branch Tollmien–Schlichting waves which mutually interact nonlinearly to induce a longitudinal vortex flow. The vortex motion in turn gives rise to significant wave modulation via wall-shear forcing. The characteristic Reynolds number is large and, as a consequence, the waves’ and the vortex motion are governed primarily by triple-deck theory. The nonlinear interaction is captured by a viscous partial-differential system for the vortex coupled with a pair of amplitude equations for each wave pressure. Following analysis and computation over a wide range of parameters, three distinct responses are found to emerge in the nonlinear behaviour of the flow solution downstream: an algebraic finite-distance singularity, far-downstream saturation or far-downstream wave decay leaving pure vortex flow. These depend on the input conditions, the wave angles and the size of the cross flow." @default.
- W2000905246 created "2016-06-24" @default.
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- W2000905246 date "1994-08-08" @default.
- W2000905246 modified "2023-09-27" @default.
- W2000905246 title "Influence of cross-flow on nonlinear Tollmien–Schlichting/vortex interaction" @default.
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- W2000905246 doi "https://doi.org/10.1098/rspa.1994.0107" @default.
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