Flux d'énergie d'un écoulement de Poiseuille vers la paroi d'un tube élastique, a. Modes d'instabilité axisymétrique

Ne compute the energy flux from a fluid flowing to an elastic hollow cylindrical tube generated by unstable modes. The basic fluid velocity flow is the parabolic Hagen-Poiseuille flow. We show that the energy flux from the fluid flowing to the elastic wall is positive when the mode is unstable, negative when the mode is stable, and null when the mode is neutral. Moreover the energy flux from the fluid flowing to the elastic solid is generated by the component of the force perpendicular to the wall at the interface for high Reynolds numbers, and essentially by the streamwise component of the force at interface for low Reynolds numbers.