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Nonlinear bow flows with spray

Published online by Cambridge University Press:  26 April 2006

Frédéric Dias and
Jean-Marc Vanden-Broeck
Frédéric Dias
Affiliation:
Institut Non-Linéaire de Nice, UMR CNRS 129, Université de Nice Sophia-Antipolis, Faculté des Sciences, 06108 Nice, cedex 2, France
Jean-Marc Vanden-Broeck
Affiliation:
Department of Mathematics and Center for the Mathematical Sciences, University of Wisconsin-Madison, Madison, WI 53705, USA
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Abstract

The steady flow past the bow of a two-dimensional ship in water of infinite depth is considered. The ship is assumed to be a semi-infinite flat-bottomed body terminated by a face inclined at an angle β with the horizontal. The spray is modelled by a layer of water rising along the bow and falling back as a jet. A series truncation method is used to solve the fully nonlinear problem numerically. It is shown that for a prescribed value of β, there is a one-parameter family of solutions. Values of the drag and of the jet thickness are presented for different values of β.

Information

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 255 , October 1993, pp. 91 - 102
Copyright
© 1993 Cambridge University Press

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