Weakly nonlinear wave motions in a thermally stratified boundary layer

James P. Denier, Eunice W. Mureithi

Research output: Contribution to journalArticlepeer-review

14 Citations (Scopus)

Abstract

We consider weakly nonlinear wave motions in a thermally stratified boundary layer. Attention is focused on the upper branch of the neutral stability curve, corresponding to small wavelengths and large Reynolds number. In this limit the motion is governed by a first harmonic/mean flow interaction theory in which the wave-induced mean flow is of the same order of magnitude as the wave component of the flow. We show that the flow is governed by a system of three coupled partial differential equations which admit finite-amplitude periodic solutions bifurcating from the linear, neutral points.

Original languageEnglish
Pages (from-to)293-316
Number of pages24
JournalJournal of Fluid Mechanics
Volume315
Publication statusPublished - 25 May 1996
Externally publishedYes

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