Energy flux from Poiseuille flow to an elastic tube. B: Non-axisymmetric unstable modes. (Flux d’énergie d’un écoulement de Poiseuille vers la paroi d’un tube élastique. B: Modes d’instabilité non axisymétriques.) (French. Abridged English version) Zbl 0966.76022
[For part A, see the foregoing entry.]
Summary: We examine the energy flux from Hagen-Poiseuille flow to an elastic tube. The energy flux and the rate of amplification of unstable modes are plotted against the depth of the elastic material \(H\) and against the Reynolds number Re. Additionally, the power of each component of the wall force is also plotted against \(H\) and Re. In this way, the force component at the wall which provides energy transfer to the tube is identified, and the origin of instability can be better understood.
Summary: We examine the energy flux from Hagen-Poiseuille flow to an elastic tube. The energy flux and the rate of amplification of unstable modes are plotted against the depth of the elastic material \(H\) and against the Reynolds number Re. Additionally, the power of each component of the wall force is also plotted against \(H\) and Re. In this way, the force component at the wall which provides energy transfer to the tube is identified, and the origin of instability can be better understood.
MSC:
| 76E05 | Parallel shear flows in hydrodynamic stability |
| 74F10 | Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) |
