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 visco us, continuously stratified fluid completely filling a rectangular ves sel which performs vertical oscillations is studied. The fluid is assu med to have a low viscosity, which enables ideas in boundary-layer the ory and the Krylov-Bogolyubov method of averaging to be used. Approxim ate formulae are obtained for the threshold amplitude of the oscillati ons of the vessel and the boundaries of the resonance zones, that is, of the quantities which determine the conditions for parametric oscill ations. Copyright (C) 1996 Elsevier Science Ltd.