Thermo-acoustic instabilities are dynamic phenomena that represent a major
threat for most modern combustion systems. Many studies, mainly undertaking
a linear analysis of experimental data, have been carried out to provide a
deeper understanding of the underlying phenomena. However, linear analysis
may lead to an oversimplified view of the problem, which involves many com
plex non-linear interactions, and a more detailed non-linear analysis may b
e necessary. This paper presents both linear and non-linear analyses of exp
erimental measurements observed in a methane-fuelled laboratory combustor.
The linear analysis aims to verify the existence of thermo-acoustic instabi
lities and consists of the elaboration of both power-spectral density distr
ibution and Rayleigh Index of the experimental time series. Nonlinear analy
sis aims to investigate dynamic behaviours by means of the deterministic ch
aos theory. Results of the analyses show that combustion instabilities occu
r in all the experimental operating conditions. Moreover, the existence of
a chaotic source in the combustion system under study is demonstrated. (C)
2001 Elsevier Science Ltd. All rights reserved.