Title: Nonlinear dynamics of combustor azimuthal modes: Experiments and modeling

Journal Article · · Combustion and Flame

This paper provides an experimental and theoretical investigation of azimuthal instabilities in a lean, premixed combustor. It presents data from a high Reynolds number, industrial-scale facility with multiple fuel stages that enable variation of radial and azimuthal symmetries. The combustor exhibits a variety of behaviors – including standing, spinning, mixed waves, and intermittent behaviors, as well as periodic limit cycles and quasi-periodic oscillations – depending upon varying power and azimuthal symmetry. A second key objective of this paper is to present a weakly nonlinear framework that is used to understand and interpret these results, showing the influence of eigenmode degeneracy, background noise, and azimuthal non-uniformities in mean quantities such as temperature and flame-acoustic coupling. In particular, this analysis shows the importance of the linear instability growth/damping rate and azimuthal non-uniformities in controlling the relative prominence of standing, spinning, or mixed waves at the limit cycle, as well as the preference in the spinning direction. It also shows the conditions under which single frequency or quasi-periodic oscillations are dominant, and how these are more fundamentally influenced by azimuthal non-uniformities and background noise.

Research Organization:
Georgia Institute of Technology, Atlanta, GA (United States); Georgia Tech Research Corporation, Atlanta, GA (United States)
Sponsoring Organization:
USDOE; USDOE Office of Fossil Energy (FE)
Grant/Contract Number:
FE0031285
OSTI ID:
1976992
Report Number(s):
DOE-GTRC-0013; PII: S001021802100674X
Journal Information:
Combustion and Flame, Journal Name: Combustion and Flame Journal Issue: C Vol. 238; ISSN 0010-2180
Publisher:
ElsevierCopyright Statement
Country of Publication:
United States
Language:
English

References (37)

Stochastic analysis of oscillators with non-linear damping journal January 1978
Stochastic averaging: An approximate method of solving random vibration problems journal January 1986
Nonlinear behavior of acoustic waves in combustion chambers—II journal September 1976
Statistical characteristics of pressure oscillations in a premixed combustor journal February 2003
Acoustic and Large Eddy Simulation studies of azimuthal modes in annular combustion chambers journal November 2012
Modal dynamics of self-excited azimuthal instabilities in an annular combustion chamber journal November 2013
Flame dynamics and unsteady heat release rate of self-excited azimuthal modes in an annular combustor journal October 2014
Flame Describing Function analysis of spinning and standing modes in an annular combustor and comparison with experiments journal October 2017
Low order modelling of thermoacoustic instabilities and intermittency: Flame response delay and nonlinearity journal April 2021
Transverse combustion instabilities: Acoustic, fluid mechanic, and flame processes journal August 2015
Large Eddy Simulation of self excited azimuthal modes in annular combustors journal January 2009
A theoretical study of mean azimuthal flow and asymmetry effects on thermo-acoustic modes in annular combustors journal January 2015
Effect of equivalence ratio on the modal dynamics of azimuthal combustion instabilities journal January 2017
Characteristics of self-excited spinning azimuthal modes in an annular combustor with turbulent premixed bluff-body flames journal January 2019
Experiments and low-order modelling of intermittent transitions between clockwise and anticlockwise spinning thermoacoustic modes in annular combustors journal January 2021
Symmetry breaking modelling for azimuthal combustion dynamics journal January 2021
Modal dynamics of high-frequency transverse combustion instabilities journal January 2021
Nonlinear self-excited oscillations of a ducted flame journal September 1997
Weakly nonlinear analysis of thermoacoustic instabilities in annular combustors journal September 2016
Imperfect symmetry of real annular combustors: beating thermoacoustic modes and heteroclinic orbits journal August 2021
Turbulence-Induced Noise Effects on High-Frequency Combustion Instabilities journal January 1994
Investigation of azimuthal staging concepts in annular gas turbines journal October 2011
On the Theory of the Brownian Motion journal September 1930
Quaternion structure of azimuthal instabilities journal November 2018
Symmetry breaking of azimuthal waves: Slow-flow dynamics on the Bloch sphere journal February 2020
Time Domain Simulation of Combustion Instabilities in Annular Combustors journal July 2003
Large Eddy Simulation of Flame Response to Transverse Acoustic Excitation in a Model Reheat Combustor journal August 2013
Analysis of Azimuthal Thermo-acoustic Modes in Annular Gas Turbine Combustion Chambers journal June 2015
High-Frequency Thermoacoustic Modulation Mechanisms in Swirl-Stabilized Gas Turbine Combustors—Part I: Experimental Investigation of Local Flame Response journal February 2017
Strong Azimuthal Combustion Instabilities in a Spray Annular Chamber With Intermittent Partial Blow-Off journal October 2017
High Amplitude Combustion Instabilities in an Annular Combustor Inducing Pressure Field Deformation and Flame Blow Off journal December 2019
Acoustical Resonances Produced by Combustion of a Fuel‐Air Mixture in a Rectangular Duct journal March 1959
Background Noise Effects on Combustor Stability journal January 2005
Influence of Random Excitations on Acoustic Instabilities in Combustion Chambers journal August 2000
Experimental Investigation of Limit-Cycle Oscillations in an Unstable Gas Turbine Combustor journal January 2002
Pulsed instabilities in solid-propellant rockets journal July 1995
A Mechanism for High-Frequency Oscillation in Ramjet Combustors and Afterburners journal June 1956