Non-normality and nonlinearity in thermoacoustic instabilities

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

Research output: Contribution to journalArticlepeer-review

34 Scopus citations

Abstract

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
Volume8
Issue number2
DOIs
StatePublished - Jun 1 2016
Externally publishedYes

ASJC Scopus subject areas

  • Automotive Engineering
  • Physics and Astronomy(all)

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