The resonant interaction of a submarine's wake with a stratified fluid

Abstract

Through the use of asymptotic and perturbation methods, this thesis presents a theoretical study of the flow of a stratified fluid over variable topography as a model of the resonant interaction of a submarine's wake with a stratified fluid. Such resonant interactions may be able to produce significant upstream disturbances. The long time solution obtained in our model exhibits growth in time for the resonant case, indicating that perhaps nonlinear effects, balanced by dispersion, could allow the possibility of detecting a submarine by the internal waves its wake generates in the resonant case