creators_name: Chen, MJ
creators_name: Forbes, LK
creators_id: Michael.Chen@utas.edu.au
creators_id: Larry.Forbes@utas.edu.au
type: article
datestamp: 2008-04-07 14:29:03
lastmod: 2008-11-21 02:02:36
metadata_visibility: show
title: A study of nonlinear waves and resonance in intrusion flows
ispublished: pub
subjects: 240502
full_text_status: restricted
note: © Australian Mathematical Society 2007 
abstract: A stratified intrusion flow is considered in which there are three moving (horizontal) fluid layers and two interfaces. The top and bottom layers move with different speeds and may even move in opposite directions, producing an exchange flow. The middle layer is in motion relative to the outer two, and possesses shear so that the speed in the three-fluid system is continuous when the interfaces are both unperturbed. The flow configuration supports the propagation of periodic waves. A linearized analysis for small wave amplitudes is presented. This is compared to some nonlinear periodic solutions found numerically using a Fourier technique. Such solutions permit nonlinear resonances between the various solution modes and these have been computed extensively.
date: 2007
date_type: published
publication: ANZIAM Journal
volume: 49
publisher: Australian Mathematics Publ Assoc Inc
pagerange: C51-C68
refereed: TRUE
issn: 1446-1811
official_url: http://anziamj.austms.org.au/ojs/index.php/ANZIAMJ/article/view/328
citation: Chen, MJ and Forbes, LK (2007) A study of nonlinear waves and resonance in intrusion flows. ANZIAM Journal, 49 . C51-C68. ISSN 1446-1811
document_url: http://eprints.utas.edu.au/4238/1/4238.pdf