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  • Free surface flows emerging from beneath a semi-infinite plate with constant vorticity

    Author(s)
    McCue, Scott William
    Forbes, Lawrence K.
    Griffith University Author(s)
    McCue, Scott W.
    Year published
    2002
    Metadata
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    Abstract
    The free surface flow past a semi-infinite horizontal plate in a finite-depth fluid is considered. It is assumed that the fluid is incompressible and inviscid and that the flow approaches a uniform shear flow downstream. Exact relations are derived using conservation of mass and momentum for the case where the downstream free surface is flat. The complete nonlinear problem is solved numerically using a boundary integral method and these waveless solutions are shown to exist only when the height of the plate above the bottom is greater than the height of the uniform shear flow. Interesting results are found for various ...
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    The free surface flow past a semi-infinite horizontal plate in a finite-depth fluid is considered. It is assumed that the fluid is incompressible and inviscid and that the flow approaches a uniform shear flow downstream. Exact relations are derived using conservation of mass and momentum for the case where the downstream free surface is flat. The complete nonlinear problem is solved numerically using a boundary integral method and these waveless solutions are shown to exist only when the height of the plate above the bottom is greater than the height of the uniform shear flow. Interesting results are found for various values of the constant vorticity. Solutions with downstream surface waves are also considered, and nonlinear results of this type are compared with linear results found previously. These solutions can be used to model the flow near the stern of a (two-dimensional) ship.
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    Journal Title
    Journal of Fluid Mechanics
    Volume
    461
    DOI
    https://doi.org/10.1017/S0022112002008510
    Subject
    Mathematical Sciences
    Engineering
    Publication URI
    http://hdl.handle.net/10072/55140
    Collection
    • Journal articles

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