Parametric excitation of the oscillations of a viscous continuously stratified fluid in a closed vessel

The parametric excitation of internal two-dimensional waves in a viscous, continuously stratified fluid completely filling a rectangular vessel which performs vertical oscillations is studied. The fluid is assumed to have a low viscosity, which enables ideas in boundary-layer theory and the Krylov-Bogolyubov method of averaging to be used. Approximate formulae are obtained for the threshold amplitude of the oscillations of the vessel and the boundaries of the resonance zones, that is, of the quantities which determine the conditions for parametric oscillations. Copyright (C) 1996 Elsevier Science Ltd.