Analysis of Static and Dynamic Stabilities of Vortex Layer and Infinitely Long Elastic Wall Adjoined to This Layer

Abstract

Stabilities of the vortex layer and elastic wall adjoined to this layer are analyzed taking into account the presence of the Coriolis force of the system. The following are clarified. (1) As static characteristics, the system is concerned with the generation of buckling and a stationary vortex, and the vortex layer of IS type (velocity U₂ (near the wall) < velocity U₁(far from the wall)) is stabilized while the vortex layer of the NS type (U₂ > U₁) is destabilized according to the decrease in the distance between the vortex layer and the wall. (2) As dynamic characteristics, the system is concerned with the generation of flutter and free vortex (vortex shedding), and the coupled system of the vortex layer and the elastic wall is stable, as the distance decreases where the virtual mass ratio related to the wall is large.