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Waves on a static water surface beneath a layer of moving air

Published online by Cambridge University Press:  21 April 2006

I. H. Grundy
Affiliation:
Applied Mathematics Department, University of Adelaide, GPO Box 498, Adelaide, South Australia 5001, Australia
E. O. Tuck
Affiliation:
Applied Mathematics Department, University of Adelaide, GPO Box 498, Adelaide, South Australia 5001, Australia

Abstract

Large-amplitude waves can exist on an air-water interface where the air is in steady non-uniform flow and the water is stationary. Computations of such waves are provided here, both for periodic nonlinear Stokes-like waves, and for a specific wave-making configuration in which the periodic solution appears as the downstream far field. The wavemaker geometry chosen here is relevant to the edge region of a hovercraft, and the large-amplitude free-surface disturbance caused by the escaping air is computed as a function of the Froude number based on air-jet velocity and thickness.

Type
Research Article
Copyright
© 1987 Cambridge University Press

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