Skip Navigation

The Quarterly Journal of Mechanics and Applied Mathematics 1995 48(1):21-38; doi:10.1093/qjmam/48.1.21
© 1995 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 MONI, J. N.
Right arrow Articles by KING, A. C.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

GUIDED AND UNGUIDED INTERFACIAL SOLITARY WAVES

J. N. MONI{dagger} and A. C. KING{dagger}

( Department of Mathematics, University of Keele Keele, Staffordshire ST5 5BG )

{dagger} Present address: Department of Theoretical Mechanics, University of Nottingham, University Park, Nottingham NG7 2RD.

This paper deals with progressing solitary waves at the interface of two superimposed fluids of different densities. In the case of a two-fluid system bounded above and below by rigid walls, we refer to the wave as guided. If the top wall is absent, that is, the top fluid has its free surface exposed to air, the wave is unguided. The problem is formulated by using a generalized Schwartz-Christoffel transformation technique which results in a system of nonlinear integro-differential equations for the interfacial angle {theta}i, free surface angle {theta}3, and a connection equation for the jump in the potential across the interface. Numerical solutions for the system are presented for a range of Froude numbers showing the effect of density and depth ratios.


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.