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

journal contribution
posted on 2023-05-16, 18:40 authored by Lawrence ForbesLawrence Forbes, Hocking, GC, Farrow, DE
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.

Funding

Australian Research Council

History

Publication title

European Journal of Applied Mathematics

Volume

17

Issue

10.1017/S0956792506006693

Pagination

557-575

ISSN

0956-7925

Department/School

School of Natural Sciences

Publisher

Cambridge University Press

Place of publication

New York, USA

Repository Status

  • Restricted

Socio-economic Objectives

Expanding knowledge in the mathematical sciences

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