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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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.
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|Item Type:||Journal Article|
|Keywords:||free surface flows, constant vorticity, bow flows, stern flows, boundary integral method|
|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:||14 Feb 2011 23:35|
|Last Modified:||10 Aug 2011 14:08|
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