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Wave-Mean Flow Interactions in Thermally Stratified Poiseuille Flow

Authors :
James P. Denier
Jillian A. K. Stott
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