TY - JOUR
T1 - Stability control and catastrophic transition in a forced Taylor-Couette system
AU - Avila, M.
AU - Marques, F.
AU - Lopez, Juan
AU - Meseguer, A.
N1 - Funding Information:
This work was supported by the National Science Foundation grant DMS-05052705, the Spanish Ministry of Education and Science grants FIS2004-01336 and AP-2004-2235, and Catalonian Government grant SGR-00024. Part of the work was done during M. Avila’s visit to the Department of Mathematics and Statistics, Arizona State University, whose kind hospitality is warmly appreciated.
PY - 2007/11/11
Y1 - 2007/11/11
N2 - Harmonic axial motion of the inner cylinder in the Taylor-Couette system can efficiently shift the onset of instability to larger inner cylinder rotation rates. However, once instability has set in, a rapid sequence of symmetry-breaking bifurcations results in complex spatio-temporal dynamics even for very low post-critical values of the rotation rate. Using spectral computations, we present a detailed study of this sudden transition, shedding light on the nature of the complex flows observed in recent laboratory experiments. In particular, it is shown that these bifurcations are responsible for some of the experimentally observed frequencies which had been attributed to background noise. Movies are available with the online version of the paper.
AB - Harmonic axial motion of the inner cylinder in the Taylor-Couette system can efficiently shift the onset of instability to larger inner cylinder rotation rates. However, once instability has set in, a rapid sequence of symmetry-breaking bifurcations results in complex spatio-temporal dynamics even for very low post-critical values of the rotation rate. Using spectral computations, we present a detailed study of this sudden transition, shedding light on the nature of the complex flows observed in recent laboratory experiments. In particular, it is shown that these bifurcations are responsible for some of the experimentally observed frequencies which had been attributed to background noise. Movies are available with the online version of the paper.
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U2 - 10.1017/S0022112007008105
DO - 10.1017/S0022112007008105
M3 - Article
AN - SCOPUS:35948944881
SN - 0022-1120
VL - 590
SP - 471
EP - 496
JO - journal of fluid mechanics
JF - journal of fluid mechanics
ER -