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Smoothly attaching bow flows with constant vorticity

Published online by Cambridge University Press:  17 February 2009

S. W. McCue  and
L. K. Forbes
S. W. McCue
Affiliation:
School of Mathematical Sciences, University of Nottingham, University Park, Nottingham NG7 2RD, United Kingdom; e-mail: Scott.McCue@nottingham.ac.uk
L. K. Forbes
Affiliation:
School of Mathematics and Physics, University of Tasmania, GPO Box 252-37, Hobart, Tas 7001, Australia; e-mail: Larry.Forbes@utas.edu.au
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Abstract

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The free surface flow of a finite depth fluid past a semi-infinite body is considered. The fluid is assumed to have constant vorticity throughout and the free surface is assumed to attach smoothly to the front face of the body. Numerical solutions are found using a boundary integral method in the physical plane and it is shown that solutions exist for all supercritical Froude numbers. The related problem of the cusp-like flow due to a submerged sink in a comer is also considered. Vorticity is included in the flow and it is shown that the behaviour of the solutions is qualitatively the same as that found in the problem described above.

Type
Research Article
Information
The ANZIAM Journal , Volume 42 , Issue 3 , January 2001 , pp. 354 - 371
Copyright
Copyright © Australian Mathematical Society 2001

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