Imperial College London


Faculty of Natural SciencesDepartment of Mathematics

Chair in Applied Mathematics







753Huxley BuildingSouth Kensington Campus






BibTex format

author = {Sujith, RI and Juniper, MP and Schmid, PJ},
doi = {10.1177/1756827716651571},
journal = {International Journal of Spray and Combustion Dynamics},
pages = {119--146},
title = {Non-normality and nonlinearity in thermoacoustic instabilities},
url = {},
volume = {8},
year = {2016}

RIS format (EndNote, RefMan)

AB - 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.
AU - Sujith,RI
AU - Juniper,MP
AU - Schmid,PJ
DO - 10.1177/1756827716651571
EP - 146
PY - 2016///
SN - 1756-8285
SP - 119
TI - Non-normality and nonlinearity in thermoacoustic instabilities
T2 - International Journal of Spray and Combustion Dynamics
UR -
UR -
VL - 8
ER -