Occurrence of Quasiperiodic Flows between Two Rotating Permeable Cylinders
V. V. Kolesov, M. N. Romanov
Federal University, Rostov-on-Don, 344090 Russia
Keywords: permeable cylinders, secondary steady flow, azimuthal waves, bifurcations, amplitude system, limit cycles, quasiperiodic flows
Abstract
This paper considers viscous incompressible fluid flows between two infinite rotating permeable concentric cylinders near the bifurcation point, which result in secondary steady flow and oscillations with azimuthal waves. Steady periodic and quasiperiodic fluid flow regimes with two, three, and four independent frequencies are obtained by methods of the theory of codimension-two bifurcations of hydrodynamic flows having cylindrical symmetry.
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