Non-normality and nonlinearity in thermoacoustic instabilities

R. I. Sujith, M. P. Juniper, P. J. Schmid

Research output: Contribution to journalArticlepeer-review

35 Scopus citations


Analysis of thermoacoustic instabilities were dominated by modal (eigenvalue) analysis for many decades. Recent progress in nonmodal stability analysis allows us to study the problem from a different perspective, by quantitatively describing the short-term behavior of disturbances. The short-term evolution has a bearing on subcritical transition to instability, known popularly as triggering instability in thermoacoustic parlance. We provide a review of the recent developments in the context of triggering instability. A tutorial for nonmodal stability analysis is provided. The applicability of the tools from nonmodal stability analysis are demonstrated with the help of a simple model of a Rjike tube. The article closes with a brief description of how to characterize bifurcations in thermoacoustic systems.
Original languageEnglish (US)
Pages (from-to)119-146
Number of pages28
JournalInternational Journal of Spray and Combustion Dynamics
Issue number2
StatePublished - Jun 1 2016
Externally publishedYes

ASJC Scopus subject areas

  • Automotive Engineering
  • Physics and Astronomy(all)


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