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Steady periodic waves in a three-layer fluid with shear in the middle layer


Chen, MJ and Forbes, LK, Steady periodic waves in a three-layer fluid with shear in the middle layer, Journal of Fluid Mechanics, 594, (2008) pp. 157-181. ISSN 0022-1120 (2008) [Refereed Article]

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Copyright Cambridge University Press 2008.

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DOI: doi:10.1017/S0022112007008877


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.

Item Details

Item Type:Refereed Article
Research Division:Mathematical Sciences
Research Group:Applied mathematics
Research Field:Theoretical and applied mechanics
Objective Division:Expanding Knowledge
Objective Group:Expanding knowledge
Objective Field:Expanding knowledge in the physical sciences
UTAS Author:Chen, MJ (Mr Michael Chen)
UTAS Author:Forbes, LK (Professor Larry Forbes)
ID Code:51527
Year Published:2008
Web of Science® Times Cited:9
Deposited By:Mathematics
Deposited On:2008-04-01
Last Modified:2015-01-27
Downloads:1 View Download Statistics

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