Smoothly attaching bow flows with constant vorticity

McCue, Scott W. & Forbes, Lawrence K. (2001) Smoothly attaching bow flows with constant vorticity. ANZIAM Journal, 42(3), pp. 354-371.

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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 corner 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.

Impact and interest:

2 citations in Scopus
2 citations in Web of Science®
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57 since deposited on 22 Feb 2011
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ID Code: 40254
Item Type: Journal Article
Refereed: Yes
Keywords: free surface flow, constant vorticity, bow flows, boundary integral method, withdrawal flow, cusp-like flow
DOI: 10.1017/S1446181100011998
ISSN: 1446-8735
Subjects: Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000) > APPLIED MATHEMATICS (010200) > Theoretical and Applied Mechanics (010207)
Divisions: Past > QUT Faculties & Divisions > Faculty of Science and Technology
Past > Schools > Mathematical Sciences
Copyright Owner: Copyright 2001 Australian Mathematical Society
Deposited On: 22 Feb 2011 22:38
Last Modified: 10 Aug 2011 14:08

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