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

Published online by Cambridge University Press:  03 December 2019

Amitesh Roy Open the ORCID record for Amitesh Roy [Opens in a new window] ,
Sirshendu Mondal Open the ORCID record for Sirshendu Mondal [Opens in a new window] ,
Samadhan A. Pawar Open the ORCID record for Samadhan A. Pawar [Opens in a new window]  and
R. I. Sujith
Amitesh Roy*
Affiliation:
Department of Aerospace Engineering, Indian Institute of Technology Madras, Chennai600 036, Tamil Nadu, India
Sirshendu Mondal
Affiliation:
Department of Aerospace Engineering, Indian Institute of Technology Madras, Chennai600 036, Tamil Nadu, India Department of Mechanical Engineering, National Institute of Technology Durgapur, Durgapur713 209, West Bengal, India
Samadhan A. Pawar
Affiliation:
Department of Aerospace Engineering, Indian Institute of Technology Madras, Chennai600 036, Tamil Nadu, India
R. I. Sujith
Affiliation:
Department of Aerospace Engineering, Indian Institute of Technology Madras, Chennai600 036, Tamil Nadu, India
*
†Email address for correspondence: [email protected]
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Abstract

We identify mechanisms through which open-loop control of thermoacoustic instability is achieved in a laminar combustor and characterize them using synchronization theory. The thermoacoustic system comprises two nonlinearly coupled damped harmonic oscillators – acoustic and unsteady heat release rate (HRR) field – each possessing different eigenfrequencies. The frequency of the preferred mode of HRR oscillations is less than the third acoustic eigenfrequency where thermoacoustic instability develops. We systematically subject the limit-cycle oscillations to an external harmonic forcing at different frequencies and amplitudes. We observe that forcing at a frequency near the preferred mode of the HRR oscillator leads to a greater than 90 % decrease in the amplitude of the limit-cycle oscillations through the phenomenon of asynchronous quenching. Concurrently, there is a resonant amplification in the amplitude of HRR oscillations. Further, we show that the flame dynamics plays a key role in controlling the frequency at which quenching is observed. Most importantly, we show that forcing can cause asynchronous quenching either by imposing out-of-phase relation between pressure and HRR oscillations or by inducing period-2 dynamics in pressure oscillations while period-1 in HRR oscillations, thereby causing phase drifting between the two subsystems. In each of the two cases, acoustic driving is very low and hence thermoacoustic instability is suppressed. We show that the characteristics of forced synchronization of the pressure and HRR oscillations are significantly different. Thus, we find that the simultaneous characterization of the two subsystems is necessary to quantify completely the nonlinear response of the forced thermoacoustic system.

JFM classification

Flow Control: Instability control Reacting Flows: Laminar reacting flows
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 884 , 10 February 2020 , A2
Copyright
© 2019 Cambridge University Press

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