Flux d'énergie d'un écoulement de Poiseuille vers la paroi d'un tube élastique, b. Modes d'instabilité non axisymétriques

Abstract

We examine in this paper the energy flux carried out by the most unstable non-axisymmetric mode from Hagen-Poiseuille flow to an elastic tube where the Poiseuille flow takes place. The energy flux, from the flowing fluid to the elastic tube and the rate of amplification of unstable modes are plotted against the depth of the elastic material H — 1 and against the Reynolds number Re. The power developed by each component of the force at the interface is plotted too against H and Re. In this way, the force component at the interface which provides energy transfer to the solid medium is identified, and the origin of the instability is better understood.