Instabilities and transition in flows between two porous concentric cylinders with radial flow and a radial temperature gradient

摘要

Complex regimes arising after the loss of stability of a viscous fluid with radial flow and radial temperature gradient between two heated rotating permeable cylinders are investigated in a small neighborhood of the point of intersection of neutral curves of monotonic axisymmetric and oscillatory three-dimensional instabilities. Since by the linear theory we can form a judgment only of the first loss of instability, the development of complex flows is investigated by nonlinear analysis, which makes it possible to detect transitions with generation of both quasiperiodic oscillations and chaotic regimes.