On the mechanism of open-loop control of thermoacoustic instability in a laminar premixed combustor

Roy, Amitesh; Mondal, Sirshendu; Pawar, Samadhan A.; Sujith, R. I.

doi:10.1017/jfm.2019.884

Cited by 18 publications

(7 citation statements)

References 45 publications

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“…Kashinath et al [28] highlighted the route to forced synchronization of limit cycle, quasiperiodic, and chaotic oscillations in a numerical model of premixed flame. These findings were verified in experiments on Rijke tubes [29] and laminar combustors [30][31][32]. Mondal et al [29] and Guan et al [30] further showed that forcing at frequencies away from the natural frequency of LCO lead to greater than 80% decrease in their amplitude through a phenomenon known as asynchronous quenching.…”

Section: Introductionmentioning

confidence: 76%

Dynamics of coupled thermoacoustic oscillators under asymmetric forcing: Experiments and theoretical modeling

Sahay,

Roy,

Pawar

et al. 2020

Preprint

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Quenching of limit cycle oscillations (LCO), either through mutual coupling or external forcing, has attracted wide attention in several fields of science and engineering. However, the simultaneous utilization of these coupling schemes in quenching of LCO has rarely been studied despite its practical applicability.We experimentally study the dynamics of two thermoacoustic oscillators subjected to both mutual coupling and asymmetric external forcing. We investigate the forced response of both identical and non-identical thermoacoustic oscillators for two different amplitudes of LCO. Under mutual coupling alone, identical thermoacoustic oscillators display the occurrence of partial amplitude death and amplitude death, whereas under forcing alone, asynchronous quenching of LCO is observed at non-resonant conditions. When oscillators are simultaneously subjected to mutual coupling and asymmetric forcing, we observe a larger parametric region of oscillation quenching than when the two mechanisms are utilized alone. This enhancement in the region of oscillation quenching is due to the complementary effect of amplitude death and asynchronous quenching. However, a forced response of coupled non-identical oscillators shows that the effect of forcing is insignificant on synchronization and quenching of oscillations in the oscillator which is not directly forced. We believe that these findings offer fresh insights into the combined effects of mutual and forced synchronization in a system of coupled nonlinear oscillators.

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Section: Introductionmentioning

confidence: 76%

Dynamics of coupled thermoacoustic oscillators under asymmetric forcing: Experiments and theoretical modeling

Sahay,

Roy,

Pawar

et al. 2020

Preprint

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“…Both asynchronous and synchronous quenching are universal phenomena in nonlinear dynamical systems (Pikovsky et al 2003) and can be modelled with a forced self-excited oscillator containing a generic Van der Pol (VDP) kernel (Dewan 1972;Odajima et al 1974). Unsurprisingly, such phenomena have been observed in various systems, ranging from premixed combustors (Lubarsky et al 2003;Bellows, Hreiz & Lieuwen 2008;Kashinath et al 2018;Guan, Murugesan & Li 2018;Guan et al 2019a,b,c;Mondal, Pawar & Sujith 2019;Roy et al 2020) to plasma columns (Keen & Fletcher 1969, 1970Ohe & Takeda 1974) to open jet flows (Staubli & Rockwell 1987;Li & Juniper 2013a), albeit mostly in response to purely axial (symmetric) forcing.…”

Section: Forced Synchronization and Its Amplitude Suppression Mechanismsmentioning

confidence: 99%

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

et al. 2022

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

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“…Kashinath et al 284 studied forced synchronization of limit cycle, quasiperiodic and chaotic oscillations in a model for a laminar premixed flame Rijke tube burner. In an experimental study, Mondal et al 119 examined forced synchronization of limit cycle oscillations in the acoustic pressure of a horizontal Rijke tube system, while Guan et al 286 and Roy et al 287 investigated forced synchronization of limit cycle oscillations in both the acoustic pressure and heat release rate fluctuations of a laminar premixed flame Rijke tube burner. Furthermore, Guan et al 286 and Sato et al 288 extended the experimental investigation to study forced synchronization of quasiperiodic oscillations in a laminar premixed flame Rijke tube burner and a gas filled resonance tube, respectively.…”

Section: B Forced Synchronization Of a Rijke Tube Oscillatormentioning

confidence: 99%

Rijke tube: A nonlinear oscillator

Manoj,

Pawar,

Kurths

et al. 2022

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Dynamical systems theory has emerged as an interdisciplinary area of research to characterize the complex dynamical transitions in real-world systems. Various nonlinear dynamical phenomena and bifurcations have been discovered over the decades using different reduced-order models of oscillators. Different measures and methodologies have been developed theoretically to detect, control, or suppress the nonlinear oscillations. However, obtaining such phenomena experimentally is often challenging, time-consuming, and risky, mainly due to the limited control of certain parameters during experiments. With this review, we aim to introduce a paradigmatic and easily configurable Rijke tube oscillator to the dynamical systems community. The Rijke tube is commonly used by the combustion community as a prototype to investigate the detrimental phenomena of thermoacoustic instability. Recent investigations in such Rijke tubes have utilized various methodologies from dynamical systems theory to better understand the occurrence of thermoacoustic oscillations, their prediction and mitigation, both experimentally and theoretically. The existence of various dynamical behaviors has been reported in single as well as coupled Rijke tube oscillators. These behaviors include bifurcations, routes to chaos, noise-induced transitions, synchronization, and suppression of oscillations. Various early warning measures have been established to predict thermoacoustic instabilities. Therefore, this review paper consolidates the usefulness of a Rijke tube oscillator in terms of experimentally discovering and modeling different nonlinear phenomena observed in physics; thus, transcending the boundaries between the physics and the engineering communities.

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On the mechanism of open-loop control of thermoacoustic instability in a laminar premixed combustor

Cited by 18 publications

References 45 publications

Dynamics of coupled thermoacoustic oscillators under asymmetric forcing: Experiments and theoretical modeling

Dynamics of coupled thermoacoustic oscillators under asymmetric forcing: Experiments and theoretical modeling

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

Rijke tube: A nonlinear oscillator

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