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

Published online by Cambridge University Press:  21 December 2006

LAWRENCE K. FORBES
Affiliation:
School of Mathematics and Physics, University of Tasmania, Hobart 7001, Tasmania, Australia email: larry.forbes@utas.edu.au
GRAEME C. HOCKING
Affiliation:
School of Mathematics and Statistics, Division of Science, Murdoch University, Murdoch 6150, Western Australia
DUNCAN E. FARROW
Affiliation:
Mathematics and Statistics, DSE, Murdoch University, Murdoch 6150, Western Australia

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.

Type
Papers
Copyright
2006 Cambridge University Press

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