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Bow and stern flows with constant vorticity

Published online by Cambridge University Press:  25 November 1999

SCOTT W. McCUE  and
LAWRENCE K. FORBES
SCOTT W. McCUE
Affiliation:
Department of Mathematics, University of Queensland, Queensland 4072, Australia Present address: Division of Theoretical Mechanics, School of Mathematical Sciences, University of Nottingham, University Park, Nottingham NG7 2RD, UK.
LAWRENCE K. FORBES
Affiliation:
Department of Mathematics, University of Queensland, Queensland 4072, Australia
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Abstract

Free surface flows of a rotational fluid past a two-dimensional semi-infinite body are considered. The fluid is assumed to be inviscid, incompressible, and of finite depth. A boundary integral method is used to solve the problem for the case where the free surface meets the body at a stagnation point. Supercritical solutions which satisfy the radiation condition are found for various values of the Froude number and the dimensionless vorticity. Subcritical solutions are also found; however these solutions violate the radiation condition and are characterized by a train of waves upstream. It is shown numerically that the amplitude of these waves increases as each of the Froude number, vorticity and height of the body above the bottom increases.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 399 , 25 November 1999 , pp. 277 - 300
Copyright
© 1999 Cambridge University Press

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