Please use this identifier to cite or link to this item: http://hdl.handle.net/2440/87467
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Type: Journal article
Title: Steady periodic waves in a three-layer fluid with shear in the middle layer
Author: Chen, M.
Forbes, L.
Citation: Journal of Fluid Mechanics, 2008; 594:157-181
Publisher: Cambridge University Press
Issue Date: 2008
ISSN: 0022-1120
1469-7645
Statement of
Responsibility: 
Michael J. Chen and Lawrence K. Forbes
Abstract: A three-layer intrusion flow is considered, in which all three layers are in motion, with different speeds, relative to the observer. Shear is present in the middle layer, and the lowest fluid may even move oppositely to the upper two (so giving an exchange flow). Two thin interfaces are present, above and below the moving middle layer. A linearized analysis is presented for small wave amplitudes. Nonlinear periodic solutions are then obtained using a Fourier technique, and reveal a range of nonlinear phenomena, including limiting waves, multiple solutions and resonances.
Rights: © 2008 Cambridge University Press
RMID: 0030008585
DOI: 10.1017/S0022112007008877
Appears in Collections:Mathematical Sciences publications

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