Gravity waves in flowing water
- 20 September 1955
- journal article
- Published by The Royal Society in Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
- Vol. 231 (1187) , 496-504
- https://doi.org/10.1098/rspa.1955.0190
Abstract
Some particular cases of the effect of a non-uniform current on two-dimensional gravity waves are considered. For linear waves on a current varying as the one-seventh power of the depth, the velocity of propagation can be found as a power series in the square root of the Froude number. For the non-linear solitary and cnoidal waves, both the profile and the velocity are found to depend on the value at the free surface of the current and its first derivative.Keywords
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