Internal-inertia waves in a fluid of variable depth
- 1 January 1973
- journal article
- research article
- Published by Cambridge University Press (CUP) in Mathematical Proceedings of the Cambridge Philosophical Society
- Vol. 73 (1) , 205-213
- https://doi.org/10.1017/s0305004100047617
Abstract
Waves in a rotating, stratified fluid of variable depth are considered. The perturbation pressure is used throughout as the dependent variable. This proves to have some advantages over the use of the vertical velocity. Some previous three-dimensional solutions for internal waves in a wedge are shown to be incorrect and the correct solutions presented. A WKB analysis is then performed for the general problem and the results compared with the exact solutions for a wedge. The WKB solution is also applied to long surface waves on a rotating ocean.Keywords
This publication has 5 references indexed in Scilit:
- Internal wave propagation in an inhomogeneous fluid of non-uniform depthJournal of Fluid Mechanics, 1969
- The emission of internal waves by vibrating cylindersJournal of Fluid Mechanics, 1969
- Progressive internal waves on slopesJournal of Fluid Mechanics, 1969
- On the propagation of internal waves up a slopeDeep Sea Research and Oceanographic Abstracts, 1968
- Mathematical Theory of OpticsPublished by University of California Press ,1964