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An intrusion layer in stationary incompressible fluids: Part 1: Periodic waves
Citation
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
Abstract
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: | Physical Sciences |
| Research Group: | Classical Physics |
| Research Field: | Fluid Physics |
| Objective Division: | Expanding Knowledge |
| Objective Group: | Expanding Knowledge |
| Objective Field: | Expanding Knowledge in the Mathematical Sciences |
| 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 |
| Downloads: | 0 |
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