Non-normality and nonlinearity in thermoacoustic instabilities | Zendy

R. I. Sujith | Zendy; Matthew P. Juniper | Zendy; Peter J. Schmid | Zendy

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Non-normality and nonlinearity in thermoacoustic instabilities

Author(s) -

R. I. Sujith,

Matthew P. Juniper,

Peter J. Schmid

Publication year - 2016

Publication title -

international journal of spray and combustion dynamics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.614

H-Index - 16

eISSN - 1756-8285

pISSN - 1756-8277

DOI - 10.1177/1756827716651571

Subject(s) - instability , context (archaeology) , stability (learning theory) , nonlinear system , thermoacoustics , physics , eigenvalues and eigenvectors , dynamical systems theory , modal analysis , computer science , statistical physics , mechanics , acoustics , vibration , paleontology , quantum mechanics , machine learning , biology

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

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