Wave-mean flow interactions in thermally stratified Poiseuille flow

James P. Denier*, Jillian A K Stott

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

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).

Original languageEnglish
Pages (from-to)121-136
Number of pages16
JournalStudies in Applied Mathematics
Volume102
Issue number2
Publication statusPublished - Feb 1999
Externally publishedYes

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