Nonlinear Wave Motions in Stratified Boundary Layers

被引:0
|
作者
James P. Denier
Jillian A.K. Stott
Eunice W. Mureithi
机构
[1] Department of Applied Mathematics,
[2] University of Adelaide,undefined
[3] Adelaide,undefined
[4] SA 5005,undefined
[5] Australia,undefined
[6] School of Mathematics,undefined
[7] University of New South Wales,undefined
[8] Sydney,undefined
[9] NSW 2052,undefined
[10] Australia,undefined
关键词
Boundary Layer; Reynolds Number; Wave Solution; Free Convection; Wave Mode;
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摘要
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.
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页码:105 / 114
页数:9
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