The flow in the gap between concentric circular cylinders, the inner cylinder rotating, exhibits distinct unsteady stages after the steady Taylor-vortex flow is established. The flow can be either time periodic with one or two traveling waves superposed on this state or 'chaotic', i. e. nonperiodically oscillating in time. When the rotation speed OMEGA is increased from a stage with two traveling waves one of the waves disappears and chaos sets in. The authors investigate this process theoretically assuming cylinders of infinite length and periodic flow in axial and azimuthal directions for a small gap r//i/r//0 equals 0. 877, r//i and r//0 being the inner and outer cylinder radii. 5 Refs.
|Original language||English (US)|
|Journal||Zeitschrift fur angewandte Mathematik und Mechanik|
|State||Published - Jan 1 1988|
ASJC Scopus subject areas
- Computational Mechanics
- Applied Mathematics