QUT ePrints

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.

View at publisher

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 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.

Impact and interest:

10 citations in Scopus
Search Google Scholar™
9 citations in Web of Science®

Citation countsare sourced monthly from Scopus and Web of Science® citation databases.

These databases contain citations from different subsets of available publications and different time periods and thus the citation count from each is usually different. Some works are not in either database and no count is displayed. Scopus includes citations from articles published in 1996 onwards, and Web of Science® generally from 1980 onwards.

Citations counts from the Google Scholar™ indexing service can be viewed at the linked Google Scholar™ search.

Full-text downloads:

191 since deposited on 04 Aug 2008
36 in the past twelve months

Full-text downloadsdisplays the total number of times this work’s files (e.g., a PDF) have been downloaded from QUT ePrints as well as the number of downloads in the previous 365 days. The count includes downloads for all files if a work has more than one.

ID Code: 14255
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
DOI: 10.1017/S0022112002008510
ISSN: 0022-1120
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: 11 Aug 2011 00:08

Export: EndNote | Dublin Core | BibTeX

Repository Staff Only: item control page