%V 348 %D 1997 %T Vortex/inflectional-wave interactions with weakly three-dimensional input %K BOUNDARY-LAYER-TRANSITION, TOLLMIEN-SCHLICHTING WAVES, OBLIQUE INSTABILITY WAVES, TAYLOR-GORTLER VORTICES, PLANE PARALLEL FLOW, NONLINEAR EVOLUTION, SHEAR FLOWS, RESONANT-TRIAD, CROSS-FLOW, STREAMWISE VORTICES %P 247 - 294 %X The subtle impact of the spanwise scaling in nonlinear interactions between oblique instability waves and the induced longitudinal vortex field is considered theoretically for the case of a Rayleigh-unstable boundary-layer flow, at large Reynolds numbers. A classification is given of various flow regimes on the basis of Reynolds-stress mechanisms of mean vorticity generation, and a connection between low-amplitude non-parallel vortex/wave interactions and less-low-amplitude non-equilibrium critical-layer flows is discussed in more detail than in previous studies. Two new regimes of vortex/wave interaction for increased spanwise lengthscales are identified and studied. In the first, with the cross-scale just slightly larger than the boundary-layer thickness, the wave modulation is governed by an amplitude equation with a convolution and an ordinary integral term present due to nonlinear contributions from all three Reynolds-stress components in the cross-momentum balance. In the second regime the cross-scale is larger; and the wave modulation is found to be governed by an integral/partial differential equation. In both cases the main-flow non-parallelism contributes significantly to the coupled wave/vortex development. %A SN Timoshin %A FT Smith %J J FLUID MECH %O © 1997 Cambridge University Press %I CAMBRIDGE UNIV PRESS %L discovery82782