Journal of Nonlinear Mathematical Physics

Volume 2, Issue 2, May 1995, Pages 158 - 171

Internal Gravity Waves with Free Upper Surface Over an Obstacle

Authors
M.B. Abd-El-Malek, A.H. Tewfick
Corresponding Author
M.B. Abd-El-Malek
Received 10 March 1995, Available Online 1 May 1995.
DOI
10.2991/jnmp.1995.2.2.6How to use a DOI?
Abstract

In this paper we discuss a theoretical model for both the free-surface and interfacial profiles of progressive nonlinear waves which result from introducing an obstacle of finite height, in the form of a ramp of gentle slope, attached to the bottom below the flow of a stratified, ideal, two-layer fluid. The derived equations are solved by using a nonlinear perturbation method. The effect of the height of the ramp, also some flow parameters, such as the ratios of depths and densities of the two fluids, have been studied and illustrated.

Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
2 - 2
Pages
158 - 171
Publication Date
1995/05/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.1995.2.2.6How to use a DOI?
Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - JOUR
AU  - M.B. Abd-El-Malek
AU  - A.H. Tewfick
PY  - 1995
DA  - 1995/05/01
TI  - Internal Gravity Waves with Free Upper Surface Over an Obstacle
JO  - Journal of Nonlinear Mathematical Physics
SP  - 158
EP  - 171
VL  - 2
IS  - 2
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.1995.2.2.6
DO  - 10.2991/jnmp.1995.2.2.6
ID  - Abd-El-Malek1995
ER  -