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Bow and stern flows with constant vorticity

McCue, Scott W. & Forbes, Lawrence K. (1999) Bow and stern flows with constant vorticity. Journal of Fluid Mechanics, 399, pp. 277-300.

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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.

    Impact and interest:

    11 citations in Scopus
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    10 citations in Web of Science®

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    ID Code: 40049
    Item Type: Journal Article
    Additional URLs:
    Keywords: free surface flows, constant vorticity, bow flows, stern flows, boundary integral method
    ISSN: 0022-1120
    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 1999 Cambridge University Press
    Deposited On: 15 Feb 2011 09:35
    Last Modified: 11 Aug 2011 00:08

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