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- Title
Oscillatory instability of the Couette flow between two unidirectionally rotating cylinders.
- Authors
Ovchinnikova, S.
- Abstract
In the problem of stability of the Couette flow between unidirectionally rotating cylinders, bifurcation points of codimensions 1, 2, and 3 are calculated. These points are interesting because in their small neighborhood the sequences of fluid flow bifurcations, including the development of chaotic regimes, can be studied analytically by completely correct methods. It is found that at large rotation velocities of both cylinders the pattern of the neutral curves corresponding to bifurcation points of codimension 1 changes and various intersections of two and three neutral curves (bifurcation points of codimensions 2 and 3) appear.
- Subjects
COUETTE flow; TURBULENCE; OSCILLATIONS; ENGINE cylinders -- Vibration; BIFURCATION theory; FLUID dynamics
- Publication
Fluid Dynamics, 2012, Vol 47, Issue 4, p454
- ISSN
0015-4628
- Publication type
Article
- DOI
10.1134/S0015462812040047