Asynchronous and synchronous quenching of a globally unstable jet via axisymmetry breaking

نویسندگان

چکیده

We explore experimentally whether axisymmetry breaking can be exploited for the open-loop control of a prototypical hydrodynamic oscillator, namely low-density inertial jet exhibiting global self-excited axisymmetric oscillations. find that when forced transversely or axially at low amplitude, always transitions first from period-1 limit cycle to $\mathbb {T}^2$ quasiperiodicity via Neimark–Sacker bifurcation. However, we subsequent transition, $1:1$ lock-in, depends on spatial symmetry applied perturbations: axial forcing induces saddle-node bifurcation small detuning but an inverse large detuning, whereas transverse irrespective detuning. Crucially, only enable both asynchronous and synchronous quenching natural mode occur without resonant non-resonant amplification mode, resulting in substantially lower values overall response amplitude across all values. From this, conclude is more effective strategy than preserving forcing. Finally, show observed synchronization phenomena modelled qualitatively with just two coupled Van der Pol oscillators. The success such simple low-dimensional model capturing complex dynamics multi-modal system opens up new opportunities other globally unstable flows.

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ژورنال

عنوان ژورنال: Journal of Fluid Mechanics

سال: 2022

ISSN: ['0022-1120', '1469-7645']

DOI: https://doi.org/10.1017/jfm.2022.139