Pattern formation and bistability in flow between counterrotating cylinders |
| |
| Institution: | 1. Department of Systems Biology and Bioinformatics, University of Rostock, 18051 Rostock, Germany;2. Institute of Mechanics and Biomechanics-Bulgarian Academy of Sciences, Acad. G. Bonchev Str., Bl. 4, 1113 Sofia, Bulgaria;3. University of Transport, Geo Milev Str., 158, 1574 Sofia, Bulgaria;4. Stellenbosch Institute for Advanced Study (STIAS), Wallenberg Research Centre at Stellenbosch University, Stellenbosch, South Africa;5. Laboratory of Systems Tumor Immunology, Department of Dermatology, University Hospital Erlangen, Erlangen, Germany;1. Max Planck Institute of Biochemistry, Am Klopferspitz 18, 82152 Martinsried, Germany;2. Max Planck Institute of Molecular Cell Biology and Genetics, Pfotenhauerstrasse 108, 01307 Dresden, Germany;1. The University of North Carolina, Chapel Hill, NC 27514,\nUSA;2. University Paris-Dauphine, Paris, France |
| |
| Abstract: | In the Taykor-Coutte experiment on fluid flow counterrotating cylinders, there is a bicritical point where the onset of instabilities to Taylor vortex flow (a steady-state bifurcation) and spiral vortex flow (a Hopf bifurcation) meet. The nonlinear mode interactions near this bicritical point are analyzed, exploiting the role of symmetry in the bifurcation theory, and with emphasis of the relevance to experiments, for a range of raduis ratios 0.43 ≤η≤0.98. The mechanism of the pattern formation is elucidated, and several new flow patterns and transitions are predicted, including wavy vortices, bistability, hysteresis, and up to 7 quasiperiodic flows. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
