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  • Smoothly attaching bow flows with constant vorticity

    Author(s)
    McCue, Scott William
    Forbes, Lawrence K.
    Griffith University Author(s)
    McCue, Scott W.
    Year published
    2001
    Metadata
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    Abstract
    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 ...
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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.
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    Journal Title
    ANZIAM Journal
    Volume
    42
    Issue
    3
    Publisher URI
    http://journal.austms.org.au/ojs/index.php/ANZIAMJ
    Subject
    Mathematical Sciences
    Engineering
    Publication URI
    http://hdl.handle.net/10072/55042
    Collection
    • Journal articles

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