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An intrusion layer in stationary incompressible fluids: Part 1: Periodic waves


Forbes, LK and Hocking, GC and Farrow, DE, An intrusion layer in stationary incompressible fluids: Part 1: Periodic waves, European Journal of Applied Mathematics, 17, (10.1017/S0956792506006693) pp. 557-575. ISSN 0956-7925 (2006) [Refereed Article]

DOI: doi:10.1017/S0956792506006693


Waves on a neutrally buoyant intrusion layer moving into otherwise stationary fluid are studied. There are two interfacial free surfaces, above and below the moving layer, and a train of waves is present. A small amplitude linearized theory shows that there are two different flow types, in which the two interfaces are either in phase or else move oppositely. The former flow type occurs at high phase speed and the latter is a low-speed solution. Nonlinear solutions are computed for large amplitude waves, using a spectral type numerical method. They extend the results of the linearized analysis, and reveal the presence of limiting flow types in some circumstances. © 2006 Cambridge University Press.

Item Details

Item Type:Refereed Article
Research Division:Engineering
Research Group:Fluid mechanics and thermal engineering
Research Field:Microfluidics and nanofluidics
Objective Division:Expanding Knowledge
Objective Group:Expanding knowledge
Objective Field:Expanding knowledge in the mathematical sciences
UTAS Author:Forbes, LK (Professor Larry Forbes)
ID Code:42735
Year Published:2006
Funding Support:Australian Research Council (DP0450225)
Web of Science® Times Cited:6
Deposited By:Mathematics
Deposited On:2006-08-01
Last Modified:2011-10-04

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