Stabilité linéaire tridimensionnelle de l'écoulement dans un divergent en rotation

Abstract

The linear temporal three-dimensional instability of incompressible viscous flow in a rotating divergent channel is studied. The boundary between stable and unstable regions is plotted as a function of the different physical parameters of the problem. It is shown that the instability is caused by the channel rotation when the half-angle of the channel, α, is small and it is caused by the channel expansion for large α. When α is taken constant, we found that rotation has the same effect as in plane channel flow, where the basic flow is destabilized by weak rotation and stabilized by strong rotation.