Free surface water-waves generated by instability of an exponential shear flow
Fluid Dynamics
2023-05-23 v1
Abstract
The stability of an exponential current in water to infinitesimal perturbations in the presence of gravity and capillarity is investigated. Some new results on the generation of gravity-capillary waves are presented which supplement the previous works of Morland, Saffman \& Yuen (1991) and Young \& Wolfe (2014), namely in finite depth. To consider perturbations of much larger scales, a specific attention is paid to the stability of the exponential current only in the presence of gravity.
Keywords
Cite
@article{arxiv.2305.11983,
title = {Free surface water-waves generated by instability of an exponential shear flow},
author = {Malek Abid and Christian Kharif},
journal= {arXiv preprint arXiv:2305.11983},
year = {2023}
}