Bow and stern flows with constant vorticity
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Description
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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ID Code: | 40049 | ||
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Item Type: | Contribution to Journal (Journal Article) | ||
Refereed: | Yes | ||
ORCID iD: |
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Keywords: | free surface flows, constant vorticity, bow flows, stern flows, boundary integral method | ||
ISSN: | 0022-1120 | ||
Pure ID: | 60118862 | ||
Divisions: | Past > QUT Faculties & Divisions > Faculty of Science and Technology Past > Research Centres > CRC for Diagnostics |
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Copyright Owner: | Copyright 1999 Cambridge University Press | ||
Copyright Statement: | This work is covered by copyright. Unless the document is being made available under a Creative Commons Licence, you must assume that re-use is limited to personal use and that permission from the copyright owner must be obtained for all other uses. If the document is available under a Creative Commons License (or other specified license) then refer to the Licence for details of permitted re-use. It is a condition of access that users recognise and abide by the legal requirements associated with these rights. If you believe that this work infringes copyright please provide details by email to qut.copyright@qut.edu.au | ||
Deposited On: | 14 Feb 2011 23:35 | ||
Last Modified: | 03 Mar 2024 18:48 |
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