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


McCue, S and Forbes, LK, Free-surface flows emerging from beneath a semi-infinite plate with constant vorticity, Journal of Fluid Mechanics, 461 pp. 387-407. ISSN 0022-1120 (2002) [Refereed Article]

DOI: doi:10.1017/S0022112002008510


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.

Item Details

Item Type:Refereed Article
Research Division:Engineering
Research Group:Fluid mechanics and thermal engineering
Research Field:Microfluidics and nanofluidics
Objective Division:Expanding Knowledge
Objective Group:Expanding knowledge
Objective Field:Expanding knowledge in the mathematical sciences
UTAS Author:Forbes, LK (Professor Larry Forbes)
ID Code:24269
Year Published:2002
Web of Science® Times Cited:15
Deposited By:Mathematics
Deposited On:2002-08-01
Last Modified:2011-08-02

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