Two-dimensional Floquet stability analysis of the flow produced by an oscillating circular cylinder in quiescent fluid

DOI10.1016/J.EUROMECHFLU.2003.05.002zbMath1106.76370OpenAlexW2136966798MaRDI QIDQ597691

H. M. Blackburn, John R. Elston, John Sheridan

Publication date: 6 August 2004

Published in: European Journal of Mechanics. B. Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.euromechflu.2003.05.002

zbMATH Keywords

Floquet analysisNeimark--Sacker bifurcationOscillating circular cylinderSymmetry breaking

Mathematics Subject Classification ID

Spectral methods applied to problems in fluid mechanics (76M22) Hydrodynamic stability (76E99)

Related Items (9)

The three-dimensional wake of a cylinder undergoing a combination of translational and rotational oscillation in a quiescent fluid ⋮ Oscillatory flow regimes for a circular cylinder near a plane boundary ⋮ Flow regimes for a square cross-section cylinder in oscillatory flow ⋮ Fluid–solid Floquet stability analysis of self-propelled heaving foils ⋮ Interaction of a deep-water wave with a vertical cylinder at low Keulegan–Carpenter number: Transition from phase-locked modes of vortex formation ⋮ Bistabilities in two parallel Kármán wakes ⋮ On regime C flow around an oscillating circular cylinder ⋮ Dependence on aspect ratio of symmetry breaking for oscillating foils: implications for flapping flight ⋮ Oscillatory flow regimes around four cylinders in a diamond arrangement

Cites Work

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• Elements of applied bifurcation theory.
• Three-dimensional instability and state selection in an oscillatory axisymmetric swirling flow
• A study of two-dimensional flow past an oscillating cylinder
• Three-dimensional Floquet stability analysis of the wake of a circular cylinder
• Viscous oscillatory flow around a circular cylinder at low Keulegan-Carpenter numbers and frequency parameters
• The onset of three-dimensional standing and modulated travelling waves in a periodically driven cavity flow
• Experiments on the stability of sinusoidal flow over a circular cylinder

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