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On the emergence of large clusters of acoustic power sources at the onset of thermoacoustic instability in a turbulent combustor

Published online by Cambridge University Press:  09 July 2019

Abin Krishnan Open the ORCID record for Abin Krishnan [Opens in a new window] ,
R. I. Sujith ,
Norbert Marwan  and
Jürgen Kurths
Abin Krishnan*
Affiliation:
Indian Institute of Technology Madras, Chennai 600036, India
R. I. Sujith
Affiliation:
Indian Institute of Technology Madras, Chennai 600036, India
Norbert Marwan
Affiliation:
Potsdam Institute for Climate Impact Research, 14412 Potsdam, Germany
Jürgen Kurths
Affiliation:
Potsdam Institute for Climate Impact Research, 14412 Potsdam, Germany Department of Physics, Humboldt University, 10115 Berlin, Germany
*
†Email address for correspondence: [email protected]
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Abstract

In turbulent combustors, the transition from stable combustion (i.e. combustion noise) to thermoacoustic instability occurs via intermittency. During stable combustion, the acoustic power production happens in a spatially incoherent manner. In contrast, during thermoacoustic instability, the acoustic power production happens in a spatially coherent manner. In the present study, we investigate the spatiotemporal dynamics of acoustic power sources during the intermittency route to thermoacoustic instability using complex network theory. To that end, we perform simultaneous acoustic pressure measurement, high-speed chemiluminescence imaging and particle image velocimetry in a backward-facing step combustor with a bluff body stabilized flame at different equivalence ratios. We examine the spatiotemporal dynamics of acoustic power sources by constructing time-varying spatial networks during the different dynamical states of combustor operation. We show that as the turbulent combustor transits from combustion noise to thermoacoustic instability via intermittency, small fragments of acoustic power sources, observed during combustion noise, nucleate, coalesce and grow in size to form large clusters at the onset of thermoacoustic instability. This nucleation, coalescence and growth of small clusters of acoustic power sources occurs during the growth of pressure oscillations during intermittency. In contrast, during the decay of pressure oscillations during intermittency, these large clusters of acoustic power sources disintegrate into small ones. We use network measures such as the link density, the number of components and the size of the largest component to quantify the spatiotemporal dynamics of acoustic power sources as the turbulent combustor transits from combustion noise to thermoacoustic instability via intermittency.

JFM classification

Reacting Flows: Turbulent reacting flows Vortex Flows: Vortex dynamics
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 874 , 10 September 2019 , pp. 455 - 482
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© 2019 Cambridge University Press 

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