Title
Mode interactions in an enclosed swirling flow: a double Hopf bifurcation between azimuthal wavenumbers 0 and 2
Abbreviated Journal Title
J. Fluid Mech.
Keywords
AXISYMMETRICAL VORTEX BREAKDOWN; CYLINDRICAL GEOMETRIES; NUMERICAL-SIMULATION; ROTATING ENDWALL; PERIODIC-FLOW; CYLINDER; INSTABILITY; CONTAINER; EQUATIONS; SYMMETRY; Mechanics; Physics, Fluids & Plasmas
Abstract
A double Hopf bifurcation has been found of the flow in a cylinder driven by the rotation of an endwall. A detailed analysis of the multiple solutions in a large region of parameter space, computed with an efficient and accurate three-dimensional Navier-Stokes solver, is presented. At the double Hopf point, an axisymmetric limit cycle and a rotating wave bifurcate simultaneously. The corresponding mode interaction generates an unstable two-torus modulated rotating wave solution and gives a wedge-shaped region in parameter space where the two periodic solutions are both stable. By exploring in detail the three-dimensional structure of the flow, we have identified the two mechanisms that compete in the neighbourhood of the double Hopf point. Both are associated with the jet that is formed when the Ekman layer on the rotating endwall is turned by the stationary sidewall.
Journal Title
Journal of Fluid Mechanics
Volume
455
Publication Date
1-1-2002
Document Type
Article
Language
English
First Page
263
Last Page
281
WOS Identifier
ISSN
0022-1120
Recommended Citation
"Mode interactions in an enclosed swirling flow: a double Hopf bifurcation between azimuthal wavenumbers 0 and 2" (2002). Faculty Bibliography 2000s. 3348.
https://stars.library.ucf.edu/facultybib2000/3348
Comments
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