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Journal ArticleDOI

Role of Flame Dynamics on the Bifurcation Characteristics of a Ducted V-Flame

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TLDR
In this paper, a ducted laminar premixed V-flame was studied and the role of flame dynamics was investigated using high-speed imaging, showing that each dynamical state is characterized by a particular sequence of flame behavior.
Abstract
Combustion instability is a nonlinear process with interaction between combustion and acoustics. The nonlinearity in the combustion process is observed in the flame dynamics. In our study of a ducted laminar premixed V-flame, we varied the distance between the flame anchor and the duct exit. We observed that the thermoacoustic system bifurcates from a stable state to a frequency locked state, followed by quasi-periodicity, period 3 oscillations, and finally chaotic oscillations. During the occurrence of these dynamical states, the role of flame dynamics is investigated using high speed imaging. We observed wrinkle formation, its propagation and growth along flame front, rollup of the flame, separation, and annihilation of flame elements during instability. From the present study it is found that each dynamical state is characterized by a particular sequence of flame behavior, highlighting the role of nonlinear flame dynamics in establishing the observed dynamical state.

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Citations
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Journal ArticleDOI

Sensitivity and Nonlinearity of Thermoacoustic Oscillations

TL;DR: In this article, a review explains why linear and nonlinear thermoacoustic behavior is so sensitive to parameters such as operating point, fuel composition, and injector geometry, and proposes tools to exploit this sensitivity in the future: adjoint-based sensitivity analysis to optimize passive control designs and complex systems theory to warn of impending thermo-acoustic oscillations and to identify the most sensitive elements of a thermo acoustic system.
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Intrinsic flame instabilities in combustors: Analytic description of a 1-D resonator model

TL;DR: In this article, the authors investigated the properties of the intrinsic modes of a combustor with a quarter wave resonator and showed that there are always infinite numbers of intrinsic modes present.
Journal ArticleDOI

Forced synchronization of quasiperiodic oscillations in a thermoacoustic system

TL;DR: In this article, the authors experimentally examined the effect of periodic acoustic forcing on a prototypical thermoacoustic system consisting of a ducted laminar premixed flame oscillating quasiperiodically.
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Intermittency route to self-excited chaotic thermoacoustic oscillations

TL;DR: In this article, the authors identify the intermittency to be of type II from the Pomeau-Manneville scenario through an analysis of the probability distribution of the quiescent epochs between successive bursts of chaos, the first return map, and the recurrence plot.
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Bursting and mixed mode oscillations during the transition to limit cycle oscillations in a matrix burner.

TL;DR: This work investigates the route to self-excited thermoacoustic instability in a laminar flow multiple flame matrix burner and replicates the transition to limit cycle oscillations in a phenomenological model containing slow-fast time scales.
References
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Book

Nonlinear dynamics and Chaos

TL;DR: The logistic map, a canonical one-dimensional system exhibiting surprisingly complex and aperiodic behavior, is modeled as a function of its chaotic parameter, and the progression through period-doubling bifurcations to the onset of chaos is considered.
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The analysis of observed chaotic data in physical systems

TL;DR: Chaotic time series data are observed routinely in experiments on physical systems and in observations in the field as mentioned in this paper, and many tools have been developed for the analysis of such data.
Journal ArticleDOI

Practical method for determining the minimum embedding dimension of a scalar time series

TL;DR: A practical method to determine the minimum embedding dimension from a scalar time series that has the following advantages: does not contain any subjective parameters except for the time-delay for the embedding.
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Dynamics and stability of lean-premixed swirl-stabilized combustion

TL;DR: A comprehensive review of the advances made over the past two decades in this area is provided in this article, where various swirl injector configurations and related flow characteristics, including vortex breakdown, precessing vortex core, large-scale coherent structures, and liquid fuel atomization and spray formation are discussed.
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A new test for chaos in deterministic systems

TL;DR: In this paper, a new test for determining whether a given deterministic dynamical system is chaotic or non-chaotic is proposed, which is applied directly to the time-series data and does not require phase space reconstruction.
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