TY - JOUR
T1 - Mode competition in modulated Taylor-Couette flow
AU - Avila, M.
AU - Belisle, M. J.
AU - Lopez, Juan
AU - Marques, F.
AU - Saric, W. S.
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. Computational resources of ASU’s Fulton HPCI are greatly appreciated.
PY - 2008/4/25
Y1 - 2008/4/25
N2 - The effects of harmonically oscillating the inner cylinder about a zero mean rotation in a Taylor-Couette flow are investigated experimentally and numerically. The resulting time-modulated circular Couette flow possesses a Z2 spatio-temporal symmetry which gives rise to two distinct modulated Taylor vortex flows. These flows are initiated at synchronous bifurcations, have the same spatial symmetries, but are characterized by different spatio-temporal symmetries and axial wavenumber. Mode competition between these two states has been investigated in the region where they bifurcate simultaneously. In the idealized numerical model, the two flows have been found to coexist and be stable in a narrow region of parameter space. However, in the physical experiment, neither state has been observed in the coexistence region. Instead, we observe noise-sustained flows with irregular time-dependent axial wavenumber. Movies are available with the online version of the paper.
AB - The effects of harmonically oscillating the inner cylinder about a zero mean rotation in a Taylor-Couette flow are investigated experimentally and numerically. The resulting time-modulated circular Couette flow possesses a Z2 spatio-temporal symmetry which gives rise to two distinct modulated Taylor vortex flows. These flows are initiated at synchronous bifurcations, have the same spatial symmetries, but are characterized by different spatio-temporal symmetries and axial wavenumber. Mode competition between these two states has been investigated in the region where they bifurcate simultaneously. In the idealized numerical model, the two flows have been found to coexist and be stable in a narrow region of parameter space. However, in the physical experiment, neither state has been observed in the coexistence region. Instead, we observe noise-sustained flows with irregular time-dependent axial wavenumber. Movies are available with the online version of the paper.
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U2 - 10.1017/S0022112008000748
DO - 10.1017/S0022112008000748
M3 - Article
AN - SCOPUS:42449137034
SN - 0022-1120
VL - 601
SP - 381
EP - 406
JO - journal of fluid mechanics
JF - journal of fluid mechanics
ER -