Abstract
The problem of solitary wave at the interface of two immiscible ideal fluids in a channel of arbitrary cross section and infinite length is investigated, and expressions for wave profile and speed are obtained. It is shown that when the two fluids are of nearly equal density, then the wave is of elevation (or depression) when the lower (or upper) layer is shallower of the two. The particular case of a rectangular channel is discussed in detail, and the results correspond to those of Long [1956] and Benjamin [1966].
DOI: https://doi.org/10.3402/tellusa.v20i4.10046 | Journal eISSN: 3035-9554
Language: English
Page range: 661 - 666
Submitted on: May 17, 1967
Published on: Jan 1, 1968
Published by: Stockholm University Press
In partnership with: Paradigm Publishing Services
© 1968 S. V. Raman, published by Stockholm University Press
This work is licensed under the Creative Commons Attribution 4.0 License.
