We consider nonlinear wave motions in strongly buoyant mixed forced-free convection boundary layer flows. In the natural limit of large Reynolds number the nonlinear evolution of a single monochromatic wave mode is shown to be governed by a novel wave/mean-flow interaction in which the wave amplitude and the wave induced mean-flow are of comparable size. A nonlinear integral equation describing the bifurcation to finite-amplitude travelling wave solutions is derived. Solutions of this equation are presented together with a discussion of their physical significance.
|Number of pages||10|
|Journal||Theoretical and Computational Fluid Dynamics|
|Publication status||Published - 1998|