Please use this identifier to cite or link to this item: https://doi.org/10.1063/1.2362782
Title: Experimental and numerical investigation of the competition between axisymmetric time-periodic modes in an enclosed swirling flow
Authors: Lopez, J.M.
Cui, Y.D. 
Lim, T.T. 
Keywords: Bifurcation
Confined flow
Flow instability
Laminar to turbulent transitions
Numerical analysis
Pulsatile flow
Vortices
Issue Date: Oct-2006
Source: Lopez, J.M.,Cui, Y.D.,Lim, T.T. (2006-10). Experimental and numerical investigation of the competition between axisymmetric time-periodic modes in an enclosed swirling flow. Physics of Fluids 18 (10) : -. ScholarBank@NUS Repository. https://doi.org/10.1063/1.2362782
Abstract: Time-periodic vortex flows in an enclosed circular cylinder driven by the rotation of one endwall are investigated experimentally and numerically. This work is motivated partly by the linear stability analysis of Gelfgat [J. Fluid Mech. 438, 363 (2001)], which showed the existence of an axisymmetric double Hopf bifurcation, and the purpose of the experiment is to see if the nonlinear dynamics associated with this double Hopf bifurcation can be captured under laboratory conditions. A glycerin/water mixture was used in a cylinder with variable height-to-radius ratios between Γ =1.67 and 1.81, and Reynolds numbers between Re=2600 and 2800 (i.e., in the neighborhood of the double Hopf). Hot-film measurements provide, for the first time, experimental evidence of the existence of an axisymmetric double Hopf bifurcation, involving the competition between two stable coexisting axisymmetric limit cycles with periods (nondimensionalized by the rotation rate of the endwall) of approximately 31 and 22. The dynamics is also captured in our nonlinear computations, which clearly identify the double Hopf bifurcation as "type I simple," with the characteristic signatures that the two Hopf bifurcations are supercritical and that there is a wedge-shaped region in (Γ, Re) parameter space where both limit cycles are stable, delimited by Neimark-Sacker bifurcation curves. © 2006 American Institute of Physics.
Source Title: Physics of Fluids
URI: http://scholarbank.nus.edu.sg/handle/10635/60231
ISSN: 10706631
DOI: 10.1063/1.2362782
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