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Wave-Mean Flow Interactions in Thermally Stratified Poiseuille Flow
- Source :
- Studies in Applied Mathematics. 102:121-136
- Publication Year :
- 1999
- Publisher :
- Wiley, 1999.
-
Abstract
- We consider nonlinear wave motions in thermally stratified Poiseuille flow. Attention is focused on short wavelength wave modes for which the neutral Reynolds number scales as the square of the wave number. The nonlinear evolution of a single monochromatic wave is governed by a first harmonic/mean-flow interaction theory in which the wave-induced mean flow is comparable in size to the wave component of the flow. An integrodifferential equation is derived which governs the normal variation of the wave amplitude. This equation admits finite-amplitude solutions which bifurcate supercritically from the linear neutral point(s).
Details
- ISSN :
- 14679590 and 00222526
- Volume :
- 102
- Database :
- OpenAIRE
- Journal :
- Studies in Applied Mathematics
- Accession number :
- edsair.doi...........2c908bcf800ba8a976cbbf6f90049a33
- Full Text :
- https://doi.org/10.1111/1467-9590.00106