Nonlinear Wave Motions in Stratified Boundary Layers |
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| Authors: | James P Denier Jillian AK Stott Eunice W Mureithi |
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| Institution: | (1) Department of Applied Mathematics, University of Adelaide, Adelaide, SA 5005, Australia, AU;(2) School of Mathematics, University of New South Wales, Sydney, NSW 2052, Australia, AU |
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| Abstract: | 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.
Received 10 December 1996 and accepted 14 April 1997 |
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