Skip Navigation

The Quarterly Journal of Mechanics and Applied Mathematics 1987 40(1):129-158; doi:10.1093/qjmam/40.1.129
© 1987 by Oxford University Press
This Article
Right arrow Full Text (PDF)
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by ROBERTS, A. J.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

TRANSIENT FREE-SURFACE FLOWS GENERATED BY A MOVING VERTICAL PLATE

A. J. ROBERTS

( Department of Applied Mathematics, University of Adelaide GPO Box 498, Adelaide, South Australia 5001 )

The point of contact between a surface-piercing solid body and the free surface of water is of great interest. In particular, numerical simulations of the interaction between a floating body and water waves often have difficulties in their implementation at this point. Here we consider the analytic nature of the transient unsteady motion near such a point for some relatively simple flows. For power-law displacements of a vertical plate the flow develops a dispersing wavetrain which emanates from the intersection point at the initial instant. The amplitude of the wavetrain depends on the exponent of the power-law motion, being larger for smaller exponents, and this constrains the type of motion of the plate.


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?




Disclaimer:
Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.