Generation of low frequency flame oscillations for the development of passive acoustic flame arresters

B. Aravind; Vigneshwaran Sankar; Deanna A. Lacoste

doi:10.1016/j.proci.2022.07.192

Generation of low frequency flame oscillations for the development of passive acoustic flame arresters

B. Aravind^*, Vigneshwaran Sankar, Deanna A. Lacoste

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

The development of acoustic-based flame arresters needs a profound understanding of low frequency flame fluctuations. The present study attempts the synthesis and analysis of such low frequency flame oscillations in a Rijke tube combustor subjected to external acoustic forcing. A high frequency (f_n = 437±3 Hz) self-excited laminar premixed conical flame is considered. This flame is forced (f_f)around its natural frequency (f_n) to generate beating (f_b=|f_f−f_n|). The results show that the system falls into lock-in synchronization for a range of forcing frequencies (0.97≤f_f/f_n≤1.03) at a forcing amplitude (ε_f) of 10% wherein quenching of natural mode is achieved. A strong flame beating is observed on either side of this synchronization region. The flame transfer function (FTF) at f_b is then estimated to delineate the strength of the beating. The FTF gain at f_b shows different behavior on either side of the synchronization region. For f_f >f_n, the gain exhibits a local peak at low beating frequencies (∼20 Hz) which is consistent with the response of a stable laminar conical flame subjected to acoustic forcing at these frequencies. However, for f_f<f_n, negligible FTF gain is obtained at low beating frequencies, followed by a continuous increase as the beating frequency increases. This asymmetric behavior is further analyzed using proper orthogonal decomposition technique (POD). For f_f>f_n, the POD results at low f_bshow that the flame base undergoes a strong flapping-like oscillation at the beating frequency. However for f_f <f_n, the flame base oscillates only at the natural mode of the combustor. This different beating behavior of the system can be attributed to the strong and weak thermoacoustic coupling, after and before the synchronization region, respectively.

Original language	English (US)
Pages (from-to)	3833-3842
Number of pages	10
Journal	Proceedings of the Combustion Institute
Volume	39
Issue number	3
DOIs	https://doi.org/10.1016/j.proci.2022.07.192
State	Published - Jan 2023

Bibliographical note

Funding Information:
This work was funded by the King Abdullah University of Science and Technology , through the baseline fund BAS/1/1396-01-01 .

Publisher Copyright:
© 2022

Keywords

Beating
Extinction
Flame transfer function
Thermoacoustic instability

ASJC Scopus subject areas

General Chemical Engineering
Mechanical Engineering
Physical and Theoretical Chemistry

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10.1016/j.proci.2022.07.192

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@article{5e36132379d8438aa4a31e5e724ea88e,

title = "Generation of low frequency flame oscillations for the development of passive acoustic flame arresters",

abstract = "The development of acoustic-based flame arresters needs a profound understanding of low frequency flame fluctuations. The present study attempts the synthesis and analysis of such low frequency flame oscillations in a Rijke tube combustor subjected to external acoustic forcing. A high frequency (fn = 437±3 Hz) self-excited laminar premixed conical flame is considered. This flame is forced (ff)around its natural frequency (fn) to generate beating (fb=|ff−fn|). The results show that the system falls into lock-in synchronization for a range of forcing frequencies (0.97≤ff/fn≤1.03) at a forcing amplitude (εf) of 10% wherein quenching of natural mode is achieved. A strong flame beating is observed on either side of this synchronization region. The flame transfer function (FTF) at fb is then estimated to delineate the strength of the beating. The FTF gain at fb shows different behavior on either side of the synchronization region. For ff >fn, the gain exhibits a local peak at low beating frequencies (∼20 Hz) which is consistent with the response of a stable laminar conical flame subjected to acoustic forcing at these frequencies. However, for ffn, negligible FTF gain is obtained at low beating frequencies, followed by a continuous increase as the beating frequency increases. This asymmetric behavior is further analyzed using proper orthogonal decomposition technique (POD). For ff>fn, the POD results at low fbshow that the flame base undergoes a strong flapping-like oscillation at the beating frequency. However for ff n, the flame base oscillates only at the natural mode of the combustor. This different beating behavior of the system can be attributed to the strong and weak thermoacoustic coupling, after and before the synchronization region, respectively.",

keywords = "Beating, Extinction, Flame transfer function, Thermoacoustic instability",

author = "B. Aravind and Vigneshwaran Sankar and Lacoste, {Deanna A.}",

note = "Funding Information: This work was funded by the King Abdullah University of Science and Technology , through the baseline fund BAS/1/1396-01-01 . Publisher Copyright: {\textcopyright} 2022",

year = "2023",

month = jan,

doi = "10.1016/j.proci.2022.07.192",

language = "English (US)",

volume = "39",

pages = "3833--3842",

journal = "Proceedings of the Combustion Institute",

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T1 - Generation of low frequency flame oscillations for the development of passive acoustic flame arresters

AU - Aravind, B.

AU - Sankar, Vigneshwaran

AU - Lacoste, Deanna A.

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Y1 - 2023/1

N2 - The development of acoustic-based flame arresters needs a profound understanding of low frequency flame fluctuations. The present study attempts the synthesis and analysis of such low frequency flame oscillations in a Rijke tube combustor subjected to external acoustic forcing. A high frequency (fn = 437±3 Hz) self-excited laminar premixed conical flame is considered. This flame is forced (ff)around its natural frequency (fn) to generate beating (fb=|ff−fn|). The results show that the system falls into lock-in synchronization for a range of forcing frequencies (0.97≤ff/fn≤1.03) at a forcing amplitude (εf) of 10% wherein quenching of natural mode is achieved. A strong flame beating is observed on either side of this synchronization region. The flame transfer function (FTF) at fb is then estimated to delineate the strength of the beating. The FTF gain at fb shows different behavior on either side of the synchronization region. For ff >fn, the gain exhibits a local peak at low beating frequencies (∼20 Hz) which is consistent with the response of a stable laminar conical flame subjected to acoustic forcing at these frequencies. However, for ffn, negligible FTF gain is obtained at low beating frequencies, followed by a continuous increase as the beating frequency increases. This asymmetric behavior is further analyzed using proper orthogonal decomposition technique (POD). For ff>fn, the POD results at low fbshow that the flame base undergoes a strong flapping-like oscillation at the beating frequency. However for ff n, the flame base oscillates only at the natural mode of the combustor. This different beating behavior of the system can be attributed to the strong and weak thermoacoustic coupling, after and before the synchronization region, respectively.

AB - The development of acoustic-based flame arresters needs a profound understanding of low frequency flame fluctuations. The present study attempts the synthesis and analysis of such low frequency flame oscillations in a Rijke tube combustor subjected to external acoustic forcing. A high frequency (fn = 437±3 Hz) self-excited laminar premixed conical flame is considered. This flame is forced (ff)around its natural frequency (fn) to generate beating (fb=|ff−fn|). The results show that the system falls into lock-in synchronization for a range of forcing frequencies (0.97≤ff/fn≤1.03) at a forcing amplitude (εf) of 10% wherein quenching of natural mode is achieved. A strong flame beating is observed on either side of this synchronization region. The flame transfer function (FTF) at fb is then estimated to delineate the strength of the beating. The FTF gain at fb shows different behavior on either side of the synchronization region. For ff >fn, the gain exhibits a local peak at low beating frequencies (∼20 Hz) which is consistent with the response of a stable laminar conical flame subjected to acoustic forcing at these frequencies. However, for ffn, negligible FTF gain is obtained at low beating frequencies, followed by a continuous increase as the beating frequency increases. This asymmetric behavior is further analyzed using proper orthogonal decomposition technique (POD). For ff>fn, the POD results at low fbshow that the flame base undergoes a strong flapping-like oscillation at the beating frequency. However for ff n, the flame base oscillates only at the natural mode of the combustor. This different beating behavior of the system can be attributed to the strong and weak thermoacoustic coupling, after and before the synchronization region, respectively.

KW - Beating

KW - Extinction

KW - Flame transfer function

KW - Thermoacoustic instability

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ER -

Generation of low frequency flame oscillations for the development of passive acoustic flame arresters

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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