Free surface flows emerging from beneath a semi-infinite plate with constant vorticity
McCue, Scott W. & Forbes, Lawrence K. (2002) Free surface flows emerging from beneath a semi-infinite plate with constant vorticity. Journal of Fluid Mechanics, 461, pp. 387-407.
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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|Item Type:||Journal Article|
|Keywords:||Free surface flow, constant vorticity, Laplace's equation, semi, infinite plate, finite, depth, boundary, integral method, Wiener, Hopf technique, water waves|
|Subjects:||Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000)|
|Divisions:||Past > QUT Faculties & Divisions > Faculty of Science and Technology|
|Copyright Owner:||Copyright 2002 Cambridge University Press|
|Copyright Statement:||Reproduced in accordance with the copyright policy of the publisher.|
|Deposited On:||04 Aug 2008|
|Last Modified:||10 Aug 2011 14:08|
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