2017
DOI: 10.1016/j.proci.2016.06.050
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Abstract: One of the key elements in the prediction of thermoacoustic oscillations is the determination of the acoustic response of flames as an element in an acoustic network, in the form of a flame describing function (FDF). In order to obtain a response, flames often have to be confined into a system with its own acoustic response. Separating the pure flame response and that of the system can be complicated by the non-linear effects that the flame can have on the overall system response. In this paper, we investigate… Show more

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Cited by 26 publications
(8 citation statements)
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“…They have reported different dynamical states including quasiperiodicity (Li & Juniper 2013a,b) as well as different synchronization states including phase slipping and phase trapping (Li & Juniper 2013c). Further, Hochgreb and her co-workers (Kim & Hochgreb 2011, 2012Balusamy et al 2015;Balusamy et al 2017) have extensively studied the dynamics and the response of stratified lean-premixed flames subjected to external acoustic velocity perturbations. Most of their studies (Kim & Hochgreb 2011, 2012Balusamy et al 2017) were focussed on investigating the forced flame response by estimating the flame transfer/describing functions (FTF/FDF).…”
Section: Introductionmentioning
confidence: 99%
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“…They have reported different dynamical states including quasiperiodicity (Li & Juniper 2013a,b) as well as different synchronization states including phase slipping and phase trapping (Li & Juniper 2013c). Further, Hochgreb and her co-workers (Kim & Hochgreb 2011, 2012Balusamy et al 2015;Balusamy et al 2017) have extensively studied the dynamics and the response of stratified lean-premixed flames subjected to external acoustic velocity perturbations. Most of their studies (Kim & Hochgreb 2011, 2012Balusamy et al 2017) were focussed on investigating the forced flame response by estimating the flame transfer/describing functions (FTF/FDF).…”
Section: Introductionmentioning
confidence: 99%
“…Further, Hochgreb and her co-workers (Kim & Hochgreb 2011, 2012Balusamy et al 2015;Balusamy et al 2017) have extensively studied the dynamics and the response of stratified lean-premixed flames subjected to external acoustic velocity perturbations. Most of their studies (Kim & Hochgreb 2011, 2012Balusamy et al 2017) were focussed on investigating the forced flame response by estimating the flame transfer/describing functions (FTF/FDF). Balusamy et al (2015), however, characterized the forced dynamics of a self-excited thermoacoustic system using the framework of forced synchronization.…”
Section: Introductionmentioning
confidence: 99%
“…One is to use the classical G-equation describing the flame dynamic response [27] to acoustic disturbance or to use Crocco model (also known n-τ) [17,28]. The other is to use FTF (Flame Transfer Function) [21,25] or FDF (Flame Describing Function) [29] to describe the linear and nonlinear flame responses. In practice, the flame responses need to be laser-diagnostically and quantitatively measured.…”
Section: Introductionmentioning
confidence: 99%
“…altering the Rayleigh criteria). Several experimental [14,17,26,[18][19][20][21][22][23][24][25] and computational [19,[26][27][28] studies have been conducted to investigate the effectiveness of injecting a proportion of the primary fuel near the base of the flame (that is, pilot injection) on reducing combustion instabilities. In the work presented by Emiris and Whitelaw [17], it was observed that the pressure oscillations were caused by the local extinction and relight of the flame, which occurred due to the high strain rates at the expansion plane which impaired flame stabilisation.…”
Section: Introductionmentioning
confidence: 99%
“…While the acoustic response to these instabilities is typically linear, the flame's heat release response can be highly non-linear, particularly at high forcing amplitudes, and hence the overall device can be expected to behave like a coupled non-linear dynamical system [6,44]. Several experimental and numerical investigations have been conducted to determine the FDF [24,25,[44][45][46][47][48][49][50][51]. Lieuwen [45] investigated the response of premixed flames to inlet velocity oscillations, and observed that, as flow perturbations increased, the amplitude of the flame response was lower than that predicted by the linear transfer function.…”
Section: Introductionmentioning
confidence: 99%