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Stern waves with vorticity

Published online by Cambridge University Press:  17 February 2009

Y. Kang
Affiliation:
Department of Mathematics and Center for the Mathematical Sciences, University of Wisconsin Madison53706, USA.
J.-M. Vanden-Broeck
Affiliation:
School of Mathematics, University of East Anglia, Norwich NR4 7TJ, UK.
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Abstract

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Steady two-dimensional free surface flow past a semi-infinite flat plate is considered. The vorticity in the flow is assumed to be constant. For large values of the Froude number F, an analytical relation between F, the vorticity parameter ω and the steepness s of the waves in the far field is derived. In addition numerical solutions are calculated by a boundary integral equation method.

Information

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 2002